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Title: deciphering the blockchain: a comprehensive analysis of bitcoin's evolution, adoption, and future implications.

Abstract: This research paper provides a comprehensive analysis of Bitcoin, delving into its evolution, adoption, and potential future implications. As the pioneering cryptocurrency, Bitcoin has sparked significant interest and debate in recent years, challenging traditional financial systems and introducing the world to the power of blockchain technology. This paper aims to offer a thorough understanding of Bitcoin's underlying cryptographic principles, network architecture, and consensus mechanisms, primarily focusing on the Proof-of-Work model. We also explore the economic aspects of Bitcoin, examining price fluctuations, market trends, and factors influencing its value. A detailed investigation of the regulatory landscape, including global regulatory approaches, taxation policies, and legal challenges, offers insights into the hurdles and opportunities faced by the cryptocurrency. Furthermore, we discuss the adoption of Bitcoin in various use cases, its impact on traditional finance, and its role in the growing decentralized finance (DeFi) sector. Finally, the paper addresses the future of Bitcoin and cryptocurrencies, identifying emerging trends, technological innovations, and environmental concerns. We evaluate the potential impact of central bank digital currencies (CBDCs) on Bitcoin's future, as well as the broader implications of this technology on global finance. By providing a holistic understanding of Bitcoin's past, present, and potential future, this paper aims to serve as a valuable resource for scholars, policymakers, and enthusiasts alike.
Subjects: Cryptography and Security (cs.CR)
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A systematic literature review on the determinants of cryptocurrency pricing

China Accounting and Finance Review

ISSN : 1029-807X

Article publication date: 15 September 2023

Issue publication date: 5 March 2024

Given the cryptocurrency market boom in recent years, this study aims to identify the factors influencing cryptocurrency pricing and the major gaps for future research.

Design/methodology/approach

A systematic literature review was undertaken. Three databases, Scopus, Web of Science and EBSCOhost, were used for this review. The final analysis comprised 88 articles that met the eligibility criteria.

The influential factors were identified and categorized as supply and demand, technology, economics, market volatility, investors’ attributes and social media. This review provides a comprehensive and consolidated view of cryptocurrency pricing and maps the significant influential factors.

Originality/value

This paper is the first to systematically and comprehensively review the relevant literature on cryptocurrency to identify the factors of pricing fluctuation. This research contributes to cryptocurrency research as well as to consumer behaviors and marketing discipline in broad.

  • Cryptocurrency
  • Systematic literature review
  • Influential factors

Peng, S. , Prentice, C. , Shams, S. and Sarker, T. (2024), "A systematic literature review on the determinants of cryptocurrency pricing", China Accounting and Finance Review , Vol. 26 No. 1, pp. 1-30. https://doi.org/10.1108/CAFR-05-2023-0053

Emerald Publishing Limited

Copyright © 2023, Sanshao Peng, Catherine Prentice, Syed Shams and Tapan Sarker

Published in China Accounting and Finance Review . Published by Emerald Publishing Limited. This article is published under the Creative Commons Attribution (CC BY 4.0) licence. Anyone may reproduce, distribute, translate and create derivative works of this article (for both commercial and non-commercial purposes), subject to full attribution to the original publication and authors. The full terms of this licence may be seen at http://creativecommons.org/licences/by/4.0/legalcode

Introduction

In recent years, cryptocurrencies have attracted more attention in the wider community, with market capitalization reaching a high level ( Bouri, Shahzad, & Roubaud, 2019 ; Fry, 2018 ). Cryptocurrency refers to a digital payment system that operates similarly to the standard monetary currency system and allows users to send and receive virtual payments outside of traditional financial institutions. These virtual payments offer low transaction costs and a peer-to-peer system ( Kim, Bock, & Lee, 2021 ). The decentralization of cryptocurrencies has been a key factor in the enhancement of user privacy and provides various levels of anonymity ( Sarwar, Nisar, & Khan, 2019 ). Bitcoin was the first decentralized blockchain-based cryptocurrency and continues to be the most well-known and widely used cryptocurrency in the market ( Li & Wang, 2017 ). A blockchain is a distributed ledger technology that allows data to be recorded and shared across a network of computers or nodes. Each block in the blockchain contains a list of transactions, and once a block is added to the chain, it cannot be altered. The immutability of records is a key feature of blockchain technology and provides a high level of trust and security ( Ferguson, 2018 ). Blockchain provides users with the promise of transaction trust and transparency. Blockchain technology, as demonstrated by cryptocurrency, is also widely considered to be a significant innovation with profound implications for the future of finance ( Liu, Tsyvinski, & Wu, 2022 ).

While cryptocurrency innovation brings benefits and potential advantages, it also poses significant challenges and issues for traditional financial systems. This is because cryptocurrencies diverge from traditional financial assets in their value determination. Instead of being reliant on tangible assets or governments, the value of cryptocurrencies is based on specific algorithms that record transactions within the underlying blockchain networks ( Corbet, Lucey, Urquhart, & Yarovaya, 2019 ). Yermack (2015) highlighted the prevalence of speculative price bubbles in the cryptocurrency market. These bubbles arise from swift and sometimes irrational increases in cryptocurrency prices, often not supported by underlying fundamentals. Thus, the unique nature of cryptocurrencies, their decentralized structure and the influence of speculative factors pose distinct challenges for investors and policymakers. Understanding these characteristics is crucial when assessing the value and potential risks associated with cryptocurrency market investment.

Studies have shed light on the factors influencing the price of Bitcoin and other more notable cryptocurrencies. In the case of Bitcoin, its decentralized system and a unique combination of anonymous miners and profit-driven incentives have been the primary drivers of innovation. This innovation has encouraged investors to participate freely in the Bitcoin market and has motivated researchers to identify the various factors that affect returns ( Leshno & Strack, 2020 ). Van Wijk (2013) investigated the influence of macroeconomic factors on bitcoin price and suggested that factors such as the stock market index, exchange rates and oil prices impacted Bitcoin’s value. Polasik, Piotrowska, Wisniewski, Kotkowski, and Lightfoot (2015) observed that the Bitcoin price experienced exponential growth in July 2010, which was attributed to increased trading against the US dollar. Bouoiyour and Selmi (2015) found that the long-term price increase in Bitcoin was influenced by a growing demand for Bitcoin trading and exchange transactions. Kristoufek (2013) indicated that the increased interest, as measured by the number of Google searches for Bitcoin, had a positive impact on Bitcoin’s price. The prices of common cryptocurrencies such as Bitcoin, Ethereum, Dash, Litecoin and Monero were significantly affected by factors related to the overall crypto market, the attractiveness of individual cryptocurrencies and movement in the S&P 500 Index ( Sovbetov, 2018 ). Technological factors were also an important determinant influencing Bitcoin price in the early market ( Li & Wang, 2017 ).

Studies have provided many determinants of cryptocurrency pricing within the existing financial market; however, research on cryptocurrency pricing is rather fragmented. This study systematically reviews the literature and identifies and synthesizes the factors that influence cryptocurrency pricing. This review contributes to the literature by providing a consolidated view of cryptocurrency pricing and systematically maps significant influential factors. This review also highlights the different research methods used in cryptocurrency pricing studies and identifies those commonly applied. This review provides a depth of understanding and a more comprehensive discussion of the determinants of cryptocurrency prices. This consolidation of the literature will inform investors and investment managers about the market dynamics of cryptocurrencies. Thus, it will guide the construction of more comprehensive cryptocurrency price prediction models and trading decisions within the cryptocurrency market.

The following presents the methodology, including the procedure used to conduct the systematic literature review, followed by the results of the review. The study highlights research gaps and offers direction for future research. The conclusion presents the implications of the study, and limitations are acknowledged.

To identify the influential factors of cryptocurrency pricing, this systematic literature review utilized the Preferred Reporting Items for Systematic Review and Meta-Analyses (PRISMA) approach. PRISMA is an evidence-based approach for reporting and evaluating the literature ( Saeed, Paolo, & Sarah NR, 2019 ) and is regarded as an appropriate methodology for reproducing data, especially when compared to narrative literature reviews ( Rother, 2007 ).

Keywords and databases

This review followed a predetermined search strategy using the terms (“cryptocurrency” OR “encryption currency” OR “digital money” OR “digital currency”) AND (“factor” OR “determine”) AND “(price)”. Three databases, Scopus, Web of Science and EBSCOhost, were used as most relevant studies can be sourced from these databases ( Akyildirim, Aysan, Cepni, & Darendeli, 2021 ; Liu et al. , 2022 ; Mohamed, 2021 ). To maintain a consistent standard for analysis and to ensure high-quality findings, this review only considered peer-reviewed journal articles which provided reliable and accurate data ( Li et al. , 2019 ). Articles published in English were chosen. This review included all relevant studies published before August 2022 when the search was conducted. The review followed the procedure described in the PRISMA checklist ( Tricco et al. , 2018 ).

Figure 1 presents the flow chart of the systematic literature review using the PRISMA approach. The initial search yielded a total of 563 articles: Scopus (313), Web of Science (72) and EBSCOhost (178). EndNote X9 software was utilized to screen the articles for duplication, with 185 articles discarded as duplicates. A further 213 articles were taken out after initial screening based on a comprehensive review of titles and abstracts. The remaining 165 articles were assessed for eligibility. In this assessment, 76 articles did not explicitly examine the factors of cryptocurrency pricing and were excluded. A further 18 peer-reviewed journal articles were removed as they were conference papers, and 15 articles were excluded as they were not in English. A total of 56 articles met the eligibility criteria for final analysis. The review conducted a thorough examination of the reference lists, which resulted in the inclusion of an additional 32 articles. This resulted in 88 articles being selected for the review. This approach ensured the inclusion of a diverse and relevant body of literature for the review.

Publishing trends and currency focus

Much of the literature focused on Bitcoin, suggesting that it remains the most popular and widely researched cryptocurrency. As a pioneer and the first cryptocurrency, Bitcoin has received significant attention from researchers, investors and the general public ( Wang & Vergne, 2017 ). The earliest article on cryptocurrency pricing was published in 2014, indicating that research remains in the early stages of development. As cryptocurrencies gained traction and public attention over the last decade, academic interest in pricing dynamics also grew. The upward trend in the number of published studies on cryptocurrency pricing reflects increasing interest and recognition of the importance of this research topic. The development of the research is presented in Figure 2 .

Journal outlets

Studies of cryptocurrency pricing have been published in journals across a wide range of disciplines, with a primary focus on finance. Table 1 highlights the 54 different journals that have published cryptocurrency pricing studies. The spread of interest indicates recognition of the importance of this research area. Finance Research Letters published a total of 27 articles, followed by the PLoS One journal (4), Financial Innovation (2), Journal of Risk and Financial Management (2), Journal of Behavioural Finance (2), Studies in Economics and Finance (2) and International Review of Financial Analysis (2). The distribution of the remaining 47 articles across journals from various disciplines highlights the wide-ranging interest and the multi-faceted nature of cryptocurrencies. The journals covered disciplines such as electrical energy, technological innovation, social media, investor sentiment and macroeconomic policy.

Geographic analysis considered the location of data collection of the studies included in the review. An understanding of the geographic distribution of research and how different regions or countries contribute to the body of knowledge of cryptocurrency pricing is also included. The 88 studies were conducted in 18 different regions, with Europe accounting for 29 studies; followed by the United Kingdom (12), China (12), the United States (9), United Arab Emirates (4), Russia (3), India (3), Canada (3), Australia (3) and South Korea (2) (see Table 2 ). The imposition of restrictions on cryptocurrency trading by the Chinese government in September 2017 had an impact on cryptocurrency pricing research ( Chen & Liu, 2022 ). However, despite the regulatory challenges, 12 studies were conducted in China and contributed to the literature.

Research methods

Table 3 presents the research methods used to analyze the determinants of cryptocurrency pricing. The most used model was the vector autoregression model (9), followed by the autoregressive distributed lag model (6), generalized autoregressive conditional heteroskedasticity model (5), three-factor model (4), the fixed-effect model (3), the wavelet coherence analysis (3), the ordinary least squares (L.S.) regression (2), the vector error correlation (2), the asset pricing model (2), the cost of production model (2) and the text analytic approach (2). The vector autoregression model is a statistical model used to reveal correlations between variables as they change over time ( Garcia, Tessone, Mavrodiev, & Perony, 2014 ) and generates a vector error correction model ( Hakim das Neves, 2020 ). This model has achieved better performance in simulating past Bitcoin trading prices, in contrast to traditional autoregression models and Bayesian regression models ( Ibrahim, Kashef, Li, Valencia, & Huang, 2020 ).

Cryptocurrency pricing factors

The current review identified and categorized the factors that influence cryptocurrency pricing. These factors include (i) supply and demand, (ii) technology, (iii) economics, (iv) market volatility, (v) investors’ attributes and (vi) social media, where the categories are not mutually exclusive. The following subsections present a discussion of each category.

Supply and demand

Studies in Table 4 have shown that the basic principles of supply and demand are fundamental factors which play a crucial role in determining cryptocurrency prices ( Ciaian, Rajcaniova, & Kancs, 2016 ; Lamothe-Fernández, Alaminos, Lamothe-López, & Fernández-Gámez, 2020 ). Bitcoin was the most cited currency. The supply of Bitcoins has been asymptotically capped at 21 million ( Polasik et al. , 2015 ) and is governed by a special cryptographic algorithm that determines the frequency, time and amount of Bitcoin supply ( Ibrahim et al. , 2020 ; Sauer, 2016 ). While the supply of Bitcoin works as a standard supply, the growth of supply leads to downtrend pressures being exerted on its price. This means that a negative relationship exists between the supply of Bitcoin and its price ( Ciaian et al. , 2016 ; Dubey, 2022 ; Kristoufek, 2015 ). However, it has been argued that growth in the cryptocurrency supply can drive up the price, based on a random-effect and fixed-effect analysis ( Wang & Vergne, 2017 ), the rationale being that new cryptocurrencies appear to be more attractive than older competitors.

Although the literature provides evidence that the supply of cryptocurrency has a significant effect on the price, demand-side drivers have a stronger impact on cryptocurrency prices ( Ciaian et al. , 2016 , Ciaian, Rajcaniova, & Kancs, 2016 ). An increase in the number of Bitcoins available for transactions may result in Bitcoin price volatility and a massive speculative price bubble ( Ciaian et al. , 2016 ). The growth of a transactional need for Bitcoin leads to an increase in price ( KaraÖMer, 2022 ). For example, Bitcoin trading against the US dollar has increased exponentially since July 2010 ( Polasik et al. , 2015 ). Additionally, Bitcoin as a payment method has had a positive effect on Bitcoin price ( Polasik et al. , 2015 ) as many people in developing countries have limited access to traditional bank transfer systems ( Schuh & Stavins, 2011 ). Network factors including wallet users, payment accounts and transaction accounts were the main demand for cryptocurrencies and contributed to the volatility of their returns ( Liu & Tsyvinski, 2021 ; Nakagawa & Sakemoto, 2022 ). Bouri, Vo, and Saeed (2021) highlighted the importance of trading volume in shaping the dynamics of the cryptocurrency market and its impact on returns and correlations. A Garman–Klass analysis also demonstrated that the emergence of other cryptocurrencies positively affected Bitcoin returns ( Będowska-Sójka, Kliber, & Rutkowska, 2021 ). Although Bitcoin is governed by a cryptographic algorithm, its usage in transactions, supply and price level are consistent with standard economic theory, especially the quantity theory of money ( Kristoufek, 2015 ).

As can be seen in Table 5 , the literature suggests that Bitcoin mining is one of the main factors driving the supply and pricing of Bitcoin ( Bouoiyour & Selmi, 2016 ; Garcia et al. , 2014 ; Ibrahim et al. , 2020 ). Bitcoin supply is determined by a mathematical algorithm for blockchain hashing ( Ibrahim et al. , 2020 ), where any attempt to modify the amount of issuance is rejected ( Nelson, 2018 ). The term hash rate refers to the speed of computer processing power in the Bitcoin network ( Lopatin, 2019 ). There are indications that growth in the hash rate has a significant and positive effect on Bitcoin returns ( KaraÖMer, 2022 ). However, Kjaerland, Khazal, Krogstad, Nordstrom, and Oust (2018) argued that the hash rate is an irrelevant technological factor for modeling Bitcoin return dynamics, the reason being that the underlying code makes the supply of Bitcoins deterministic, which contrasts with previous studies. This finding was supported by Fantazzini and Kolodin (2020) who demonstrated that the hash rate had no direct effect on the Bitcoin price from the energy efficiency effect of Bitcoin mining equipment, based on the cost of production model.

Mining difficulty is also an important determinant influencing the supply and pricing of Bitcoin ( Kristoufek, 2015 ). The term “mining difficulty” refers to a measurement unit used in the process of Bitcoin mining to maintain the speed of block generation and the hash rate criterion ( Zhang, Qin, Yuan, & Wang, 2018 ). The unique Bitcoin mining process has a significant effect on the Bitcoin price ( Kristoufek, 2015 ). In other words, an increase in mining difficulty leads to an increase in the Bitcoin price ( Guizani & Nafti, 2019 ). This is in line with Li and Wang (2017) who used the autoregressive distributed lag model to confirm that the growth of mining difficulty would increase the Bitcoin price in the early market. The rationale for this is that the short-term adjustment in the Bitcoin price is the response to the growth of mining difficulty, although mining difficulty has a weak impact on the Bitcoin price in the long term ( Guizani & Nafti, 2019 ).

Halving is another technical factor that influences the supply and pricing of Bitcoin ( Ibrahim et al. , 2020 ; Meynkhard, 2019 ). The term Bitcoin halving refers to a process in which the reward for mining Bitcoin transactions is reduced by half ( Ramos & Zanko, 2020 ). Miners can earn new Bitcoins as remuneration for their work, but the block subsidy will decrease by 50% every four years. Reducing the supply of Bitcoins every four years leads to the growth of Bitcoin capitalization ( Fantazzini & Kolodin, 2020 ). Ramos and Zanko (2020) demonstrated that the first halving occurrence caused increases in the Bitcoin price, market capitalization and average transaction fees. Meynkhard (2019) utilized comparative analysis to show that halving positively affected the cryptocurrency price.

The theoretical literature has considered the cost of cryptocurrency mining as a crucial factor that influences cryptocurrency pricing. Sapkota and Grobys (2020) employed portfolio analysis to explore the relationship between mining cost and cryptocurrency pricing. Results indicated that the mining cost from an energy aspect positively impacted cryptocurrency pricing. Chico-Frias (2021) confirmed this impact by demonstrating that mining costs were positively related to cryptocurrency pricing, as Bitcoin mining consumes electricity ( Lamothe-Fernández et al. , 2020 ). Nevertheless, Baldan and Zen (2020) argued that profits and costs were not the factors driving Bitcoin pricing. One possible explanation is that there is insufficient evidence to support the association between Bitcoin price and mining costs. Liu and Tsyvinski (2021) confirmed that electricity and computing costs (mining costs) did not drive cryptocurrency returns. However, transaction costs can be an important determinant driving cryptocurrency pricing ( Crettez & Morhaim, 2022 ) because the impact of volatility in cryptocurrency pricing can be driven by the transaction costs that individuals incur when purchasing cryptocurrency.

Empirical studies indicate that other technologies may also contribute to the volatility of the cryptocurrency price. Chen (2021) argued that blockchain technology factors only demonstrated a small impact on the Bitcoin price. Kim et al. (2021) showed that blockchain information was an important determinant influencing Ethereum prices. Wang and Vergne (2017) found that the drivers of cryptocurrency returns were the number of unique collaborators and proposals emerging. Chowdhury, Damianov, and Elsayed (2022) indicated that the price dynamics of cryptocurrencies, particularly Rapple, were influenced by the technologies related to the consensus protocol used in these cryptocurrencies. However, Vo et al. (2022) showed that cryptocurrency pricing, while changeable in the short term, may be less sensitive to technological factors and more responsive to underlying economic factors in the long term.

Economic factors

This study shows that economic factors significantly affect cryptocurrency pricing. For example, Van Wijk (2013) examined the impact of Bitcoin price on macroeconomic factors, such as the stock market index, exchange rates and oil prices. Polasik et al. (2015) showed an exponential increase in the Bitcoin price due to increased trading against the US dollar in July 2010. Similarly, Bouoiyour and Selmi (2015) found that demand for Bitcoin trading and exchange transactions will drive up prices. The correlation between variables is shown in Table 6 . The economic factors most commonly examined in this research are now discussed.

Exchange rates

Exchange rates appear to have a significant effect on cryptocurrency pricing. Previous studies have demonstrated that the exchange rate has a significant and negative relationship with the Bitcoin price ( KaraÖMer, 2022 ; Zhu, Dickinson, & Li, 2017 ). Polasik et al. (2015) demonstrated that both the US dollar and the Euro had a strong negative relationship with the Bitcoin price. These findings were consistent with Poyser (2019) who suggested that the exchange rate of the Chinese yuan was negatively associated with the Bitcoin price. Panagiotidis, Stengos, and Vravosinos (2018) , through a Least Absolute Shrinkage and Selection Operator (LASSO) approach, revealed that the exchange rates including JPY/USD, CNY/USD, USD/EUR, and GBP/USD positively affected Bitcoin returns in order to have a positive impact. This was supported by Huang, Gau, and Wu (2022) who found that the exchange rates of EUR/USD, GBP/USD and JPY/USD affected Bitcoin returns. However, it has also been argued that Bitcoin returns are not significantly affected by exchange rates USD/JPY, USD/GBP, USD/GBP and USD/AU when confidence was measured at a 95% level ( Almansour, Almansour, & In’airat, 2020 ). When the confidence level was 90%, however, the exchange rate of the GBP was found to be significant.

Interest rates

Studies indicate that interest rates are also an important determinant of cryptocurrency pricing. Nguyen, Nguyen, Nguyen, Pham, and Nguyen (2022) investigated the Federal rate of the US and the Chinese interbank rate on the stablecoins and cryptocurrencies, based on the Generalized AutoRegressive Conditional Heteroskedasticity (GARCH), EGARCH and the fixed-effect model. The results suggested that higher federal fund rates and Chinese interbank rates had a significant impact on both stablecoins and cryptocurrencies, leading to increased price volatility in these markets. Havidz, Karman, and Mambea (2021) also found that the Federal Reserve interest rate negatively affected the price of Bitcoin, with the negative relationship being that a higher Federal Reserve interest rate discouraged investors from investing in Bitcoin as a speculative asset. This finding was consistent with Zhu et al. (2017) who stated that an increased interest rate may result in reduced speculative investment by investors. In addition, an increase in interest rates was found to reduce the demand for Bitcoin as well as its returns ( Jareño, González, Tolentino, & Sierra, 2020 ). However, Panagiotidis et al. (2018) found a positive effect on Bitcoin returns from interest rates through a LASSO approach.

Consumer price index (CPI)

Studies have indicated that the consumer price index (CPI) is an important determinant influencing the Bitcoin price. Empirical results have suggested that the CPI had a long-term negative influence on the Bitcoin price ( Zhu et al. , 2017 ). In contrast with previous findings, Wang, Sarker, and Bouri (2022) argued that the CPI had a positive correlation with Bitcoin in the short term as Bitcoin can be a hedging asset. However, Corbet, Larkin, Lucey, Meegan, and Yarovaya (2020) utilized a sentiment index to explore the relationship between macroeconomic news regarding the CPI and Bitcoin pricing. The results indicated that CPI news had no significant relationship with the Bitcoin price.

Gold and oil

Several studies have demonstrated that gold, as a macro-financial factor, has a significant and positive effect on the Bitcoin price. Based on deep learning methods, Lamothe-Fernández et al. (2020) showed that gold positively affected Bitcoin pricing. This finding was supported by Ciaian et al. (2016) and Pogudin, Chakrabati, and Di Matteo (2019) where it was found that gold and oil were positively correlated with the Bitcoin price. Panagiotidis et al. (2018) utilizing a LASSO framework, also supported that Bitcoin returns were positively affected by gold and oil. Nevertheless, Jareño et al. (2020) used the asymmetric nonlinear cointegration approach and Ciaian et al. (2016) utilized the vector autoregressive model to reveal a negative relationship between oil price and the Bitcoin price. It was considered that as oil prices increase, available budgets (consumer and company) decrease, resulting in less expenditure on investment assets, including Bitcoin.

Stock market

Many studies in Table 6 suggest that economic indicators have a significant impact on cryptocurrency pricing. For example, the Dow Jones Index was found to be positively associated with the Bitcoin price ( Ciaian et al. , 2016 ; Lamothe-Fernández et al. , 2020 ). However, Zhu et al. (2017) demonstrated that the Dow Jones Index had a long-term negative effect on the price of Bitcoin. The S&P 500 Index was found to have a significant and positive effect on the price of Bitcoin ( Bakas, Magkonis, & Oh, 2022 ; Francisco. Jareño et al. , 2020 ; Nguyen, 2022 ), while it also moved in tandem with Bitcoin returns ( Vo et al. , 2022 ). The Chinese Stock Market Index also had a positive and significant effect on the Bitcoin price ( Bouoiyour & Selmi, 2015 ). This was also consistent with Panagiotidis et al. (2018) , who showed that the Nikkei index emerged as a determinant that positively affected Bitcoin returns. Anamika, Chakraborty, and Subramaniam (2021) also indicated that fear in the equity market had a positive correlation with Bitcoin, Ethereum and Litecoin returns. When the equity market was experiencing bearish sentiment, this may lead investors to consider cryptocurrency as an alternative asset as a result of the increase in cryptocurrency prices. These findings were supported by Dyhrberg (2016) who studied which stock markets had an impact on the Bitcoin price. However, Havidz et al. (2021) argued that the Stock Market Index had a negative but insignificant effect on the Bitcoin price, which contrasted with previous findings. Other factors such as government bond indices and small company stock returns significantly impacted the cryptocurrency returns ( Ciner, Lucey, & Yarovaya, 2022 ).

Empirical studies have provided evidence that the cryptocurrency price may also be affected by the Economic Uncertainty Index. A number of studies conducted by Hasan, Hassan, Karim, and Rashid (2022) and Wu, Ho, and Wu (2022) showed a negative relationship between the Cryptocurrency Policy Uncertainty Index and the Bitcoin price. This means that when the cryptocurrency policy uncertainty increases, the Bitcoin price will decrease, when all other variables are kept constant ( KaraÖMer, 2022 ). Similarly, the Economic Uncertainty Index displayed the same negative and significant association with the Bitcoin price ( Kalyvas, Papakyriakou, Sakkas, & Urquhart, 2020 ; Wang, Sarker, & Bouri, 2022 ). These results were consistent with Jareño et al. (2020) , who demonstrated that fear in the Financial Market Index and the St Louis Fed’s Financial Stress Index had a negative and significant effect on Bitcoin returns. European economic policy uncertainty was the most important variable for Bitcoin returns ( Panagiotidis et al. , 2018 ). The possible explanation is that when the economy has suffered a crisis or was under stress, cryptocurrency was more likely to be considered by investors as a hedging asset ( Nakagawa & Sakemoto, 2022 ). Scharnowski (2022) indicated that economic policies related to central bank digital currencies (CBDC) have had a positive effect on cryptocurrency prices, the rationale being that the introduction and development of CBDC can be perceived as a favorable signal for other forms of digital currencies, including cryptocurrencies.

Market volatility

Table 7 presents that the systematic risk of cryptocurrencies is an important factor driving returns. Zhang, Li, Xiong, and Wang (2021) showed a positive cross-sectional relationship existed between downside risk and future returns in the cryptocurrency market. Liu, Liang, and Cui (2020) demonstrated that cryptocurrency returns were driven by three common risk factors: cryptocurrency market returns, market capitalization (size) and the momentum of cryptocurrencies. These findings were supported by Liu et al. (2022) who found that cryptocurrency returns were captured by the cryptocurrency market, size and momentum. Similarly, size, momentum and the value to the growth of cryptocurrency also affected cryptocurrency returns ( Wang & Chong, 2021 ). The combined effect of size and momentum factors can effectively capture the cross-sectional variation observed in cryptocurrency returns ( Liu et al. , 2020 ). Other factors specific to the cryptocurrency market, such as MAX momentum ( Li, Urquhart, Wang, & Zhang, 2021 ), reversal factors ( Jia, Goodell, & Shen, 2022 ), idiosyncratic volatility ( Leirvik, 2022 ; Liu & Tsyvinski, 2021 ) and liquidity ( Zhang & Li, 2020 ), were also important for predicting cryptocurrency returns. Furthermore, Ciaian et al. (2016) showed that risk and uncertainty related to the Bitcoin system negatively affected the Bitcoin price. Nadler and Guo (2020) added that specific risk associated with blockchain had a stronger effect on cryptocurrency pricing.

Studies have also provided evidence that unsystematic risk can be a determinant of cryptocurrency price. Koutmos (2020) , unitizing the Markov regime switching model, stated that other asset pricing risk factors were important determinants of Bitcoin returns. Corbet et al. (2019) found that hacking events are drivers of price volatility in cryptocurrencies. Almaqableh et al. (2022) indicated that terrorist attacks positively affected cryptocurrency returns, while these attacks also resulted in short-term risk shifting behavior for different cryptocurrencies. The COVID-19 pandemic has had a positive and significant effect on the Bitcoin price in the short term ( ÇElik, Yilmaz, Emir, & Sak, 2020 ; Lee, Vo, & Chapman, 2022 ). The pandemic had a notable impact on the conditional volatility of cryptocurrency returns ( Apergis, 2022 ; Nguyen, 2022 ; Sarkodie, Ahmed, & Owusu, 2022 ). The heightened uncertainty and market disruptions caused by the pandemic have led to increased cryptocurrency price fluctuations and volatility. Additionally, increased COVID-19 cases/deaths were positively linked to cryptocurrency returns. Demiralay and Golitsis (2021) also found that cryptocurrency returns exhibit time-varying patterns and were highly correlated with major events such as hacker attacks and the COVID-19 pandemic. These events can significantly affect investor sentiment and market dynamics as a result of cryptocurrency price fluctuation ( Corbet et al. , 2022 ). Zhu et al. (2017) further indicated that cryptocurrency exchange platforms are a potential risk that could influence cryptocurrency pricing. For example, Mt. Gox, a Bitcoin exchange platform, saw both the website and trading engine disappear without official comment, leading to a decline in the Bitcoin price.

Investors’ attributes

Investors’ attention has been argued to be an important determinant of cryptocurrency pricing. Smales (2021) showed that investors’ attention had a positive relationship with the cryptocurrency price. Similarly, others have highlighted that investors’ attention had the potential to improve prediction accuracy for Bitcoin returns. Zhu, Zhang, Wu, Zheng, and Zhang (2021) and Mohamed (2021) also confirmed that investor attention predicts future cryptocurrency volatility through a vector autoregression framework. Attractiveness indicators were also found to be important determinants of Bitcoin pricing, with variations over time ( Guizani & Nafti, 2019 ). These findings suggest that a strong relationship exists between investors’ interest and the Bitcoin price ( Hakim das Neves, 2020 ). Cryptocurrency popularity is one of the main factors that determine returns. KaraÖMer (2022) demonstrated that popularity had a significant and positive relationship with Bitcoin in the short term. The growth of Bitcoin’s popularity has been predicted to exert upward pressure on the Bitcoin price ( Garcia et al. , 2014 ; Nepp & Karpeko, 2022 ). With cryptocurrency’s growing popularity leading to higher search volume and social media activity, the implications are that there is increasing investor interest in cryptocurrencies, which drives higher prices.

The literature has demonstrated evidence of a wide range of volatility within cryptocurrency prices (see Table 8 ), which is significantly affected by investors’ sentiment. Positive investor opinion or sentiment has a positive correlation with pricing ( Kjaerland et al. , 2018 ; Patel, Tanwar, Gupta, & Kumar, 2020 ). Social media as a platform where investors can express psychological and financial sentiments plays a significant role in Bitcoin volatility ( Gurrib & Kamalov, 2022 ; Sapkota, 2022 ). These findings were consistent with those of Garcia  et al. (2014) who stated that positive word of mouth contributes to Bitcoin price bubbles. Positive feedback associated with Bitcoin trading behavior also increased its volatility ( Wang, Lee, Liu, & Lee, 2022 ). Huynh (2021) also showed that negative sentiment had a significant impact on Bitcoin return and trading volume. This was supported by Wang and Vergne (2017) who demonstrated that the “buzz” surrounding cryptocurrencies was negatively associated with returns. Shahzad, Anas, and Bouri (2022) emphasized the influential role of key individuals, such as Elon Musk, and social media tweets that led to the formation of bubbles, which significantly affected cryptocurrency prices. Similarly, Gerritsen, Lugtigheid, and Walther (2022) revealed that crypto experts have had a significant effect on Bitcoin returns. Barth, Herath, Herath, and Xu (2020) highlighted a negative association between the frequency of discussions of unethical practices related to Bitcoin and its price. Bartolucci et al. (2020) showed that developers’ emotions were also the drivers of the price volatility within Bitcoin and Ethereum. Ahn and Kim (2021) agreed that emotional factors played a significant role in predicting Bitcoin trading volume and return volatility. Rubbaniy, Tee, Iren, and Abdennadher (2022) also supported the notion that investors’ mood is linked to the volatility of the cryptomarket.

Social media

Empirical evidence has demonstrated that cryptocurrency pricing was significantly affected by online activities (see Table 9 ). Wikipedia views, which represented online information queries, had a positive and statistically significant effect on the Bitcoin price ( Figà-Talamanca & Patacca, 2020 ). Ciaian et al. (2016) also suggested that Wikipedia exercised a strong impact on the Bitcoin price. Growth in the volume of Google Trends or Google Search also led to high Bitcoin returns ( Polasik et al. , 2015 ). Aslanidis, Bariviera and López (2022) suggested a positive relationship between cryptocurrency returns and the attention received on Google Trends, particularly when measuring attention specific to the cryptomarket. Additionally, Panagiotidis et al. (2018) identified Google Search as the most important variable for explaining Bitcoin returns, and it was found to be a good predictor of cryptocurrency prices ( Chuffart, 2022 ). This indicated that increased interest and search volume for cryptocurrencies on Google can be associated with higher cryptocurrency returns ( Bakas et al. , 2022 ). Increased investors’ curiosity and attention imply that demand for Bitcoin will also likely increase ( Kjaerland et al. , 2018 ). Online factors, such as online activities, social media, Google Search and Wikipedia, have had a long-term positive relationship with the cryptocurrency price ( Phillips & Gorse, 2018 ). However, it has also been reported that Bitcoin and Ethereum price movements were negatively affected by search volume obtained via Google Trends ( Smuts, 2019 ).

This study employs a systematic literature review to identify the influential factors of cryptocurrency pricing and to determine the major gaps for future research. This review included all peer-reviewed journal articles that met the selection criteria and were published before September 2022. The final analysis included a total of 88 articles, 56 articles that met the eligibility criteria and 32 articles from reference lists of the eligible articles. The earliest article was published in 2014, with most articles being published in 2022, indicating that the field of cryptocurrency pricing is still emerging. The overall upward trend in the number of published studies on cryptocurrency pricing reflects increasing interest and recognition of the importance of this research topic. Empirical cryptocurrency pricing studies focused on Bitcoin, suggesting that it remains the most popular and widely researched cryptocurrency in the market. As a pioneer and the first cryptocurrency, Bitcoin has received significant attention from researchers, investors and the public ( Wang & Vergne, 2017 ). Future studies could explore factors that influence other cryptocurrencies, such as Dogecoin or Litecoin, to offer a comprehensive overview of cryptocurrency pricing.

The peer-reviewed articles on the influential factors of cryptocurrency pricing were published in 54 different journals. The majority of articles (27) were published in Finance Research Letters. The remaining 47 articles were distributed across journals from various disciplines and highlight the wide-ranging interest and multi-faceted nature of cryptocurrencies. Finance Research Letters presents as the leading journal in cryptocurrency pricing research. Thus, future studies may consider other high-quality journals to allow investors or policymakers to obtain a more comprehensive understanding of cryptocurrency pricing. Future studies could also research the connections between traditional finance and the cryptocurrency market to improve the depth of research.

The geographic analysis conducted in this review offered another layer of insight into the research on cryptocurrency pricing. A total of 88 studies were conducted in 18 different regions, with Europe accounting for 29 studies. Cryptocurrency pricing research appears to be more active in Europe than in other locations, suggesting significant academic interest in the region. Extending the geographic coverage by encouraging research to focus on developing countries and perhaps exploring the development of financial technologies and their effect on the cryptocurrency market could be useful for the field.

A total of 48 different research methods were applied across the research to analyze the determinants of cryptocurrency pricing. The most used model was the vector autoregression model (9), followed by the autoregressive distributed lag model (6), generalized autoregressive conditional heteroskedasticity (5), three-factor model (4), the fixed-effect model (3) and the wavelet coherence analysis (3). Ordinary least squares regression, vector error correlation, the asset pricing model, the cost of production model, fixed-effect analysis and the text analytic approach were applied twice each. Future studies could apply other methods or combine existing research methods in the construction of cryptocurrency pricing models to improve their predictions.

This review has revealed the factors that influence cryptocurrency pricing and has been classified into six categories: (i) fundamental factors, (ii) technological factors, (iii) economic factors, (iv) market volatility, (v) investors’ attributes and (vi) social media. Although studies have mentioned that cryptocurrency pricing can be explained by many factors, Bitcoin continues to be the most studied. Future studies could examine the impact of other coins on cryptocurrency pricing. As cryptocurrency is the result of financial innovation, future research could also consider the technological dimensions of cryptocurrency. This exploration might include whether it is more explicit and dynamic than traditional currency. The rationale for this focus is that cryptocurrency needs to continually update its underlying software to maintain its technological advantage ( Wang & Vergne, 2017 ). Cryptocurrency could be an alternative way to reshape the existing financial system. Research could consider cryptocurrency connection with the existing financial market and examine the impact of economic policies on the cryptocurrency market. The role of financial technologies is evolving within existing financial systems. These technologies can improve efficiency and service quality but may also lead to new challenges for the financial market. Research that examines the potential challenges faced by cryptocurrency pricing or value would be of value. The research selected for this study has provided evidence to suggest that investors’ sentiment is a key factor influencing cryptocurrency pricing. Future studies could quantify these sentiment factors or examine the potential factors affecting investors’ sentiment towards cryptocurrency. Although many determinants have been identified in this review, several important factors continue to be neglected in the literature, such as cultural and political factors, and the development of financial technologies. These research gaps are areas of interest to the field.

Implications

This systematic literature review identified factors influencing cryptocurrency pricing and highlighted major gaps in the research. The findings generated from this research offer important contributions to the literature and practitioners.

Theoretical implications

This study contributes to the cryptocurrency literature in several ways. Firstly, this research provides a comprehensive overview of the existing literature and categorizes the significant factors that influence cryptocurrency pricing. Within this field, there has been a lack of systematic reviews that may guide future research by identifying factors that may affect the determinants of cryptocurrency pricing.

The review also highlights the varying research methods used to identify the determinants of cryptocurrency pricing. In total, 48 different research methods have been employed to analyze the determinants of cryptocurrency pricing. The most common research methods applied were the vector autoregression model and the autoregressive distributed lag model, with other types of models used in various studies. This study therefore informs future studies of the commonly used methods and theories that could be considered for theoretical frameworks to underpin cryptocurrency pricing research.

This review provides evidence that cryptocurrency can be considered an alternative currency that complements the existing financial industry. Prior studies have shown that cryptocurrency usage in transactions, its supply and price levels are consistent with monetary economics and the quantity theory of money ( Wang & Vergne, 2017 ). Moreover, cryptocurrency offers a low transaction cost, decentralization and a peer-to-peer system ( Kim et al. , 2021 ). This makes it possible for users to use a cost-effective remittance system in developing countries where banking systems are underdeveloped or unsecure ( Ciaian et al. , 2016 ). Therefore, cryptocurrency has the potential to serve as a medium of exchange for the global economy ( Ciaian et al. , 2016 ). In addition, Kristoufek (2015) has stated that although the Bitcoin price was mainly driven by speculative opportunities due to its high volatility and decentralization, its unique asset-possessing property is that it is both a standard financial asset and a speculative asset. Jareño et al. (2020) also revealed a positive connection between Bitcoin and gold price returns during times of economic turmoil. Bitcoin was found to have the properties similar to gold in that it could serve as a financial haven during periods of high economic uncertainty. Kjaerland et al. (2018) suggested that Bitcoin price volatility could be explained by investment theories such as the greater fool theory and momentum theory. Therefore, it can be concluded that cryptocurrencies have the potential to complement the existing financial industry, with this information having significance for practical applications.

Practical implications

This research has implications for multiple stakeholders. Firstly, this study brings together the literature and synthesizes multiple elements of the cryptocurrency market. The systematic review of this literature adds a depth of understanding through a discussion of the determinants of cryptocurrency prices. This information is useful for investors and investment managers when making trading decisions in relation to the cryptocurrency market. A large number of Bitcoin users are considered to be young and inexperienced ( Baur, Dimpfl, & Kuck, 2018 ) and are more likely to require potential indicators of cryptocurrency pricing to make appropriate investment decisions. Thus, investors will benefit from this review when seeking to diversify their portfolios with cryptocurrencies or by designing better trading strategies. The review may also benefit more experienced investors, such as investment managers. This study provides a consolidated discussion of the determinants of cryptocurrency prices and may assist investors to construct cryptocurrency price prediction models. Portfolio managers can effectively trace cryptocurrency price movements, thus avoiding large change events in cryptocurrency prices, which may have a significant effect on the risk and return of individual risky assets.

Secondly, the review has a series of policy implications. From the consolidated technological aspects, regulators may utilize cryptocurrency technologies to update their financial systems, thus being able to offer lower costs, higher efficiency and greater convenience for their consumers, as per their profiles and needs. Given the safe haven characteristics of cryptocurrencies, many investors are more likely to buy cryptocurrency to minimize financial risk during times of economic stress or crisis ( Jareño et al. , 2020 ). Thus, policymakers could monitor these financial activities or establish alternatives to avoid the depreciation of their currencies. The review also assists regulatory bodies in assessing the determinants of cryptocurrency returns as an alternative investment, thus enriching their knowledge ( Gurrib, Kweh, Nourani, & Ting, 2019 ). It is well known that the cryptocurrency market is unregulated and highly speculative ( Hameed & Farooq, 2017 ). If private cryptocurrencies widely enter the market as public forms of currency, this will likely encourage money laundering and financial crimes that will significantly affect monetary policy and financial stability ( Baldan & Zen, 2020 ). Therefore, regulators have a requirement to understand the potential factors that would induce economic crisis, expressed as the influential factors of cryptocurrency pricing. The understanding of these factors may assist regulators to effectively formulate monetary policy in response to these challenges.

Thirdly, this review also has important implications for companies that consider cryptocurrency as a means of payment in cross-border transactions. This may especially be the case between countries without a coherent and reliable payment infrastructure. Cryptocurrency offers characteristics such as low transaction costs and decentralization and offers a peer-to-peer payment system. In addition, the information from this review may allow individuals to access international business when there is a lack of access to traditional financial institutions or when they have less access to credit from within the banking system.

Limitations of the study and future research

Several limitations are acknowledged within this study. Firstly, this review only considered peer-reviewed articles. Future studies could consider other sources in the literature such as conference papers, government reports and theses to review a larger number of studies. Secondly, this review used only three databases to collect the selected articles. Studies not written in English and published in other databases may provide further insights. Future research that draws on more databases and other relevant search items may provide a more comprehensive review. Thirdly, some relevant articles may have been missed given the arbitrary nature of inclusion and exclusion criteria in the keywords, title and abstract. Future research could adjust the search strategies, the intervals and reading sources to collect relevant studies. Studies that included the design of a measurement scale of the influential factors with statistical validation would also improve insights into the literature.

Flow chart of systematic literature review

Number of articles published between 2014 and August 2022

Article distribution by journal and date of publication

JournalNumber of articles20142015201620172018201920202021Jan-Aug 2022
4 1 11 1
1 1
1 1
1 1
Mathematical Social Science1 1
1 1
1 1
1 1
11
1 1
1 1
1 1
1 1
2 1 1
2 1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
1 1
2 11
1 1
1 1
1 1
1 1
1 1
1 1
2 11
1 1
1 1
1 1
1 1
2 1 1
1 1
1 1
1 1
1 1
1 1
Table created by the authors

LocationNumber of articles20142015201620172018201920202021Jan-Aug 2022
USA9 1224
Europe29121 416211
UK12 1 23114
Canada3 1 11
China12 11 136
South Korea2 11
Taiwan1 1
UAE4 1111
Russia3 11 1
Brazil1 1
India3 111
Philippines1 1
Indonesia1 1
Australia3 12
Tunisia1 1
Japan1 1
Bangladesh1 1
Lebanon1 1
Table created by the authors

Theory/ModelNumber of articles201420152016201720182019202020212022
Vector autoregression analysis9* * *******
Wavelet coherence analysis3 * * *
Autoregressive distributed lag model6 ** ** **
Ordinary least squares regression2 * **
Long short-term memory model3 * * *
Vector error correlation2 * *
Text analytic approach2 **
Tobit estimation approach1 *
Modular Integrated Distributed Analysis System1 *
Least Absolute Shrinkage and Selection Operator2 * *
Generalized AutoRegressive Conditional Heteroskedasticity5 *****
Dynamics Equi-correlation Model2 **
Overlapping generations model1 *
Axiomatic approach1 *
Impossibility theorem1 *
Machine learning approach1 *
Dynamic Bayesian model1 *
Smooth Transition Conditional Correlation Model1 *
Quantile regression1 *
Quantile-on-quantile regression2 **
Rolling window estimations1 *
Augmented version of Barro’s model1 *
Comparative analysis1 *
Artificial recurrent neural network model1 *
Bayesian structural time series approach1 *
Autoregressive integrated moving average model2 **
Fourier KPSS unit root test1 *
Asymmetric nonlinear cointegration approach1 *
Negative coefficient of skewness analysis1 *
Markov regime-switching model1 *
Asset pricing model2 * *
Robust least squares (L.S.) method1 *
Sentiment index model1 *
Corpus linguistics approach1 *
Value-at-risk analysis1 *
Garman–Klass analysis1 *
Systematic review1 *
Quantile regression approach1 *
Linear discriminant analysis1 *
Autoregressive conditional jump intensity model1 *
Structural break analysis1 *
Heterogeneous autoregressive model1 *
Random-effect analysis2 * *
Deep learning integration method1 *
Portfolio analysis2 * *
Cost of production model2 **
Fixed-effect analysis3 * **
Three-factor model4 ****
Table created by the authors

NoAuthorsLocationMethodologyInfluential factorRelationshipCurrency types
1 UKWavelet coherence analysisBitcoin supplyNegativeBitcoin price
2 (2016)EuropeVector autoregressive modelBitcoin supplyNegativeBitcoin price
3 IndiaRandom-effect regression modelBitcoin supplyNegativeBitcoin price
4 CanadaRandom-effect and fixed-effect analysisCryptocurrency supplyPositiveCryptocurrency returns
5 (2015)EuropeOrdinary least squares and tobit estimation approachesTransaction demandPositiveBitcoin price
6 (2016)EuropeAugmented version of Barro’s modelTransaction demandPositiveBitcoin price
7 EuropeAutoregressive distributed lag modelTransaction demandPositiveBitcoin price
8 (2015)EuropeOrdinary least squares and tobit estimation approachesBitcoin paymentPositiveBitcoin price
9 (2021)EuropeGarman–Klass analysisOther cryptocurrenciesPositiveBitcoin returns
10 (2021)LebanonThe dynamic equi-corelation modelTransaction demandPositiveCryptocurrency returns
11 JapanThe machine learning approachTransaction demandPositiveCryptocurrency returns
12 USAThe Capital Asset Pricing Model and Fama–French three-factor modelTransaction demandPositiveCryptocurrency returns
Table created by the authors

NoAuthorsLocationMethodologyInfluential factorRelationshipCurrency type
1 EuropeAutoregressive distributed lag modelHash ratePositiveBitcoin returns
2 (2018)EuropeAutoregressive distributed lag modelHash rateN/ABitcoin returns
3 RussiaCost of production modelHash rateN/ABitcoin price
4 ChinaAutoregressive distributed lag modelMining difficultyPositiveBitcoin price
5 UKWavelet coherence analysisMining difficultyPositiveBitcoin price
6 TunisiaAutoregressive distributed lag modelMining difficultyPositiveBitcoin price
7 RussiaComparative analysisHalvingPositiveCryptocurrency price
8 (2020)CanadaVector autoregression modelHalvingPositiveBitcoin price
9 RussiaCost of production modelHalvingPositiveBitcoin price
10 EuropePortfolio analysisMining costPositiveCryptocurrency price
11 PhilippinesCost of production modelMining costPositiveCryptocurrency price
12 EuropeVector autoregression modelMining costN/ABitcoin price
13 USAVector error correction modelBlockchain technologyPositiveBitcoin price
14 (2021)South KoreaAutoregressive integrated moving average modelBlockchain informationPositiveEthereum price
15 CanadaRandom-effect and fixed-effect analysisOther technological factorsPositiveCryptocurrency returns
16 (2022)USAQuantile vector autoregressive modelThe consensus protocol technologiesPositiveCryptocurrency returns
Table created by the authors

NoAuthorsLocationMethodologyInfluential factorRelationshipCurrency type
1 (2015)EuropeOrdinary least squares and tobit estimation approachesUS dollarsNegativeBitcoin price
2 (2017)ChinaVector error correction modelUS dollarsNegativeBitcoin price
3 EuropeAutoregressive distributed lag modelExchange rateNegativeBitcoin price
4 EuropeBayesian structural time series approachExchange rateNegativeBitcoin price
5 (2018)EuropeLeast Absolute Shrinkage and Selection Operator approachExchange ratePositiveBitcoin returns
6 (2022)ChinaThe lens of empirical asset pricing analysisExchange ratePositiveBitcoin returns
7 (2022)UKFixed-effect model, Generalized AutoRegressive Conditional HeteroskedasticityFederal rate and Chinese interbank rateN/ACryptocurrency prices
8 (2018)EuropeLeast Absolute Shrinkage and Selection Operator approachInterest ratePositiveBitcoin returns
9 (2017)ChinaVector error correction modelInterest rateNegativeBitcoin price
10 (2021)IndonesiaFixed-effect model and generalized method of momentsInterest rateNegativeBitcoin price
11 (2017)ChinaVector error correction modelConsumer Price IndexNegativeBitcoin price
12 (2022)ChinaWavelet-based methodsConsumer Price IndexPositiveBitcoin price
13 (2020)EuropeSentiment IndexNews related to Consumer Price IndexN/ABitcoin price
14 (2020)EuropeAsymmetric nonlinear cointegration approachGoldPositiveBitcoin price
15 (2020)EuropeDeep learning methodsGoldPositiveBitcoin price
16 (2019)UKWavelet coherence analysisGold and oilPositiveBitcoin price
17 (2016)EuropeAugmented version of Barro’s modelGold and oilPositiveBitcoin price
18 (2018)EuropeLeast Absolute Shrinkage and Selection Operator approachGold and oilPositiveBitcoin returns
19 (2020)EuropeAsymmetric nonlinear cointegration approachOil priceNegativeBitcoin price
20 (2016)EuropeVector autoregressive modelOil priceNegativeBitcoin price
21 (2016)EuropeVector autoregressive modelDow Jones IndexPositiveBitcoin price
22 (2020)EuropeDeep learning methodsDow Jones IndexPositiveBitcoin price
23 (2017)ChinaVector error correction modelDow Jones IndexNegativeBitcoin price
24 (2020)EuropeAsymmetric nonlinear cointegration approachS&P Index and Chinese Stock IndexPositiveBitcoin price
25 EuropeAutoregressive distributed lag modelS&P Index and Chinese Stock IndexPositiveBitcoin price
26 (2022)USAOrdinary least squares regressionS&P 500 IndexPositiveBitcoin price
27 (2018)EuropeLeast Absolute Shrinkage and Selection Operator approachNikkei IndexPositiveBitcoin returns
28 (2021)IndonesiaFixed-effect model and generalized method of momentsStock Market IndexNegativeBitcoin price
29 EuropeAutoregressive distributed lag modelEconomic Policy Uncertainty IndexNegativeBitcoin price
30 (2022)ChinaWavelet-based methodsEconomic Policy Uncertainty IndexNegativeBitcoin price
31 (2022)BangladeshOrdinary least square, quantile regression and quantile-on-quantile regression approachesCryptocurrency Policy Uncertainty IndexNegativeBitcoin returns
32 (2022)ChinaModular Integrated Distributed Analysis SystemEconomic Policy Uncertainty IndexN/ABitcoin returns
33 (2018)EuropeLeast Absolute Shrinkage and Selection Operator approachEuropean Economic Policy Uncertainty IndexNegativeBitcoin returns
34 (2020)UKNegative coefficient of skewness analysisEconomic Policy Uncertainty IndexNegativeBitcoin price
35 (2020)EuropeAsymmetric nonlinear cointegration approachEconomic Policy Uncertainty IndexNegativeBitcoin price
36 (2021)IndiaRobust least squares methodFear in the equity marketPositiveBitcoin, Ethereum and Litecoin returns
37 UKThe fixed-effect modelCentral bank digital currency policiesPositiveCryptocurrency returns
Table created by the authors

NoAuthorsLocationMethodologyInfluential factorRelationshipCurrency type
1 (2021)ChinaUnivariate portfolio analysisDownside riskPositiveCryptocurrency returns
2 (2022)USAThree-factor modelCryptocurrency market returnPositiveCryptocurrency returns
3 (2022)USAThree-factor modelMarket capitalisationPositiveCryptocurrency returns
4 (2022)USAThree-factor modelMomentumPositiveCryptocurrency returns
5 ChinaFama–French three factor modelRisk factorN/ACryptocurrency prices
6 (2020)ChinaFama–MacBeth methodCommon risk factorNegativeCryptocurrency returns
7 (2022)ChinaMarket, size and momentum factors (MSM three-factors modelReversal factorsN/ACryptocurrency returns
8 (2016)EuropeVector autoregressive modelRisk and uncertainty of bitcoin systemNegativeBitcoin price
9 UKAsset pricing modelBlockchain riskPositiveCryptocurrency price
10 USAMarkov regime-switching modelAsset pricing riskPositiveBitcoin returns
11 (2020)EuropeFourier KPSS unit root test and Fourier–SHIN cointegration testCOVID-19 pandemicPositiveBitcoin price
12 (2022)USAStructural break analysisCOVID-19 pandemicPositiveBitcoin price
13 (2022)EuropeVector autoregression analysis and Generalized AutoRegressive Conditional HeteroskedasticityCOVID-19 pandemicPositiveCryptocurrency price
14 (2022)EuropeA polynomial regressionCOVID-19 pandemicPositiveCryptocurrency returns
15 UKA time-series regressionCOVID-19 pandemicPositiveCryptocurrency returns
16 AustraliaA VAR-GARCH modelCOVID-19 pandemicPositiveBitcoin returns
17 EuropeAn asymmetric GARCH modelingCOVID-19 pandemicPositiveCryptocurrency returns
18 UKDynamic Equicorrelation GARCH (DECO-GARCH) modelHacker attacks and COVID-19N/ACryptocurrency trading volume
19 (2022)AustraliaAsset pricing model and ARCH modelTerrorist attackPositiveCryptocurrency returns
20 (2019)EuropeSystematic reviewHacking eventsNegativeCryptocurrency price
21 (2017)ChinaVector error correction modelExchange platformNegativeBitcoin price
Table created by the authors

NoAuthorsLocationMethodologyInfluential factorRelationshipCurrency type
1 AustraliaQuantile regression approachAttentionPositiveCryptocurrency price
2 (2021)ChinaValue-at-risk analysisAttentionPositiveCryptocurrency price
3 CanadaVector autoregression frameworkInvestor attentionPositiveCryptocurrency returns
4 TunisiaAutoregressive distributed lag modelAttractivenessPositiveBitcoin price
5 EuropeAutoregressive distributed lag modelPopularityPositiveBitcoin returns
6 (2015)EuropeOrdinary least squares and tobit estimation approachesPopularityPositiveBitcoin return
7 (2014)EuropeVector autoregression modelPopularityPositiveBitcoin return
8 RussiaAutoregressive distributed lag model and generalized autoregressive conditional heteroscedasticity modelPopularityPositiveBitcoin return
9 (2020)IndiaLong short-term memory model and gated recurrent unit modelInvestors’ sentimentPositiveCryptocurrency price
10 EuropeHeterogeneous autoregressive modelInvestors’ sentimentPositiveCryptocurrency price
11 UAELinear discriminant analysis and sentiment analysisInvestors’ sentimentPositiveCryptocurrency price
12 (2014)EuropeVector autoregression modelInvestors’ sentimentPositiveCryptocurrency price
13 EuropeTextual analysisNegative sentimentNegativeCryptocurrency returns
14 CanadaRandom-effect and fixed-effect analysisNegative sentimentNegativeCryptocurrency returns
15 (2022)ChinaCombining rolling window estimations with regression analysisPositive trading behaviorsPositiveBitcoin returns
16 (2020)USAText analytic approachUnethical discussionNegativeBitcoin price
17 (2022)EuropeA crisis-dating and a timely cautionary alert methodInfluential role of key individualsN/ACryptocurrency price
18 (2022)UAEA quantile-on-quantile regressionInvestors’ moodN/ACryptocurrency price
19 (2020)UKArtificial recurrent neural network modelDevelopers’ emotionsPositiveBitcoin price and Ethereum price
20 KoreaCorpus linguistics approachEmotional factorsPositiveBitcoin return
Table created by the authors

NoAuthorsLocationMethodologyInfluential factorRelationshipCurrency type
1 (2016)EuropeAugmented version of Barro’s modelWikipediaPositiveBitcoin price
2 UKWavelet coherence analysisWikipediaPositiveBitcoin price
3 UKWavelet coherence analysisGoogle SearchPositiveBitcoin returns
4 (2018)EuropeLeast Absolute Shrinkage and Selection Operator approachGoogle SearchPositiveBitcoin returns
5 EuropeSmooth transition conditional correlation modelGoogle SearchPositiveCryptocurrency price
6 (2022)UKA dynamic Bayesian modelGoogle SearchPositiveCryptocurrency returns
7 (2016)EuropeAugmented version of Barro’s modelGoogle SearchPositiveBitcoin returns
8 (2015)EuropeOrdinary least squares and tobit estimation approachesGoogle SearchPositiveBitcoin returns
9 UKLong short-term memory modelGoogle TrendsNegativeBitcoin price and Ethereum price
10 (2022)EuropeShannon transfer entropy approachGoogle TrendsPositiveCryptocurrency returns

Source(s): Table created by the authors

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Corresponding author

About the authors.

Sanshao Peng is Ph.D. candidate in the Business School at the University of Southern Queensland. His research interests include financial technologies and cryptocurrency pricing. Sanshao has published few papers, including two conference papers and a paper under review in Q1 Journal, since she began her Ph.D.

Dr Catherine Prentice is Professor of Marketing at the University of Southern Queensland and Director of Asia Pacific Association for Gambling Studies. She currently serves as Associate Editor for three journals, including Service Industries Journal (Q1), Tourism Review (Q1) and Journal of Global Scholars of Marketing Science (B-ABDC). Catherine has published extensively in marketing and management journals as the first or solo author. She is one of the world-leading experts in emotional intelligence and artificial intelligence and has chaired several international conferences as well as delivering keynote speeches for various conferences. Her main research interests include artificial intelligence, emotional intelligence, service research, consumer psychology, consumer behavior, services and relationship marketing and gambling studies.

Syed Shams has more than 15 years of corporate and academic leadership in various finance and academic roles. He is former Associate Head of Research at the School of Business. He is the guest editor of the Sustainability (Q1) journal. Shams has extensively published articles in prestigious finance journals relating to climate finance, mergers and acquisitions, especially concentrating on corporate climate finance disclosures, such as Economics and Finance, Accounting and Finance Journal, Australian Journal of Management , Pacific Basin Finance Journal , Journal of Contemporary Accounting and Economics , International Journal of Managerial Finance , Journal of Behavioral and Experimental Finance and International Review of Financial Analysis .

Dr Tapan Sarker has more than 20 years of teaching and training, research, administrative and consulting experience. Within the industry, he has been Consultant for leading MNCs such as BHP Billiton, Rio Tinto and Mahindra and Mahindra Ltd, India. His interdisciplinary research expertise is in the areas of sustainable and green finance, public financial management, financing for the SDGs, business responses to climate change and circular economy. His research has been published in leading journals including Finance Research Letters , International Review of Economics and Finance , Australian Tax Forum , Global Finance Journal , Economic Modelling , among others.

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Article Contents

1. data and basic characteristics, 2. cryptocurrency-specific factors, 3. exposures to other assets, 4. additional results, 5. conclusion, acknowledgement, risks and returns of cryptocurrency.

Yukun Liu, Aleh Tsyvinski, Risks and Returns of Cryptocurrency, The Review of Financial Studies , Volume 34, Issue 6, June 2021, Pages 2689–2727, https://doi.org/10.1093/rfs/hhaa113

We establish that cryptocurrency returns are driven and can be predicted by factors that are specific to cryptocurrency markets. Cryptocurrency returns are exposed to cryptocurrency network factors but not cryptocurrency production factors. We construct the network factors to capture the user adoption of cryptocurrencies and the production factors to proxy for the costs of cryptocurrency production. Moreover, there is a strong time-series momentum effect, and proxies for investor attention strongly forecast future cryptocurrency returns.

Cryptocurrency is a recent phenomenon that is receiving significant attention. On the one hand, it is based on a fundamentally new technology, the potential of which is not fully understood. On the other hand, at least in the current form, it fulfills similar functions as other, more traditional assets. Extensive academic attention has focused on developing theoretical models of cryptocurrencies. The theoretical literature on cryptocurrencies has suggested a number of factors that are potentially important in the valuation of cryptocurrencies. The first group of papers builds models stressing the network effect of cryptocurrency adoption (e.g., Pagnotta and Buraschi 2018 ; Biais et al. 2018 ; Cong, Li, and Wang 2019 ) and emphasizes the price dynamics induced by the positive externality of the network effect. The second group of papers focuses on the production side of the coins—the miners’ problem (e.g., Cong, He, and Li 2018 ; Sockin and Xiong 2019 )—and shows that the evolution of cryptocurrency prices is linked to the marginal cost of production. The third group of papers ties the movements of cryptocurrency prices to those of traditional asset classes such as fiat money (e.g., Athey et al. 2016 ; Schilling and Uhlig 2019 ; Jermann 2018 ). There is also a growing literature on the empirical regularities of cryptocurrencies. Borri (2019) shows that individual cryptocurrencies are exposed to cryptomarket tail-risks. Makarov and Schoar (2020) find that cryptocurrency markets exhibit periods of potential arbitrage opportunites across exchanges. Griffin and Shams (2020) study Bitcoin price manipulation. Our paper is the first comprehensive analysis of cryptocurrencies through the lens of empirical asset pricing. Its contribution is twofold. First, it tests the mechanisms and predictions of the existing theoretical models. Second, it establishes a set of basic asset pricing facts for this asset class, which provides a common benchmark that the current and future models of cryptocurrencies should take into consideration.

We start by constructing an index of cryptocurrency (or coin) market returns. This index is the value-weighted returns of all the coins with capitalizations of more than 1 million USD (1,707 coins in total) and covers the period of January 1, 2011, to December 31, 2018. We now describe some basic statistical properties of this index. During the sample period, the averages of the coin market returns at the daily, weekly, and monthly frequencies are 0.46%, 3.44%, and 20.44%, respectively. The daily, weekly, and monthly standard deviations of the coin market returns are 5.46%, 16.50%, and 70.80%, respectively. The coin market returns have positive skewness and kurtosis. We observe that the mean and standard deviation of the coin market returns are an order of magnitude higher than those of the stock returns during the same period. The Sharpe ratios at the daily and weekly levels are about 60% and 90% higher, and the Sharpe ratio at the monthly level is comparable to those of stocks. The returns have positive skewness increasing with the frequencies from daily to monthly. The returns experience high probabilities of extreme losses and gains. For example, an extreme loss of the daily 20% negative return on the coin market happens with a probability of 0.48%, while an extreme gain of the same size occurs with a probability of 0.89%.

We next turn to examine the relationship between the coin market returns and the main cryptocurrency-specific factors that are proposed in the theoretical literature. We formulate and investigate potential drivers and predictors for cryptocurrency returns. Specifically, we construct cryptocurrency network factors, cryptocurrency production factors, cryptocurrency momentum, proxies for average and negative investor attention, and proxies for cryptocurrency valuation ratios. For each of these factors, we aim to provide a number of possible empirical measures, as there are no canonical ways to define them in the cryptocurrency market.

We consider five measures to capture the cryptocurrency network effect. Consistent with the cryptocurrency models based on the network effect, 1 we find that the coin market returns are positively and significantly exposed to cryptocurrency network growth. Furthermore, we show that the evolution of cryptocurrency prices not only reflects current cryptocurrency adoption but also contains information about expected future network growth.

We then study the implications of the cryptocurrency models based on the miners’ production problem. 2 We construct production factors of cryptocurrency to proxy for the cost of mining and test the relationship between these production factors and cryptocurrency prices. To the first approximation, mining a cryptocurrency requires two inputs: electricity and computer power. We separately construct eight proxies for electricity costs and six proxies for computing costs. For electricity, we use time-varying and location-specific measures of the price, consumption, and generation of electricity in the United States and China (including Sichuan province, which hosts the largest mining farm in the world). For proxies of computing costs, we use the prices of Bitmain Antminer, one of the common Bitcoin mining equipments, as our primary measure. We also consider indirect measures—the stock returns of the companies that are major manufacturers of mining chips. Overall, we find that the coin market returns are not significantly exposed to the cryptocurrency production factors.

The existing theoretical models of cryptocurrencies have a number of implications for the predictability of cryptocurrency returns. Some papers argue that the evolution of cryptocurrency prices should follow a martingale, and thus cryptocurrency returns are not predictable (e.g., Schilling and Uhlig 2019 ). Other papers argue that, in dynamic cryptocurrency valuation models, cryptocurrency returns could potentially be predicted by momentum, investor attention, and cryptocurrency valuation ratios (e.g., Cong, Li, and Wang 2019 ; Sockin and Xiong 2019 ). We show that momentum and investor attention strongly predict future cryptocurrency cumulative returns, but cryptocurrency valuation ratios do not.

First, we show that there is a significant time-series momentum phenomenon in the cryptocurrency market. We find that the current coin market returns predict cumulative future coin market returns from one week to eight weeks ahead. For example, a one-standard-deviation increase in the current coin market returns predicts a 3.30% increase in the weekly returns over the next week. Grouping weekly returns by terciles, we find that the top terciles outperform the bottom terciles over the one- to four-week horizons. For example, at the one-week horizon, the average return of the top tercile is 8.01% per week with a t -statistic of 4.30, while the average return of the bottom tercile is only 1.10% per week with a t -statistic of 0.92. The time-series momentum results are valid both in sample and out of sample.

Second, we construct proxies for investor attention with Google searches and show that high investor attention predicts high future returns over the one- to six-week horizons. For example, a one-standard-deviation increase in the investor attention measure yields a 3.0% increase in the 1-week-ahead future coin market returns. At the one-week horizon, the average return of the investor attention tercile is 6.53% per week with a t -statistic of 3.82, while the average return of the bottom tercile is only 0.43% per week with a t -statistic of 0.42. Another proxy for investor attention we construct is Twitter post counts, and we reach similar results with the Twitter measure. Additionally, we construct a proxy for negative investor attention and show that relatively high negative investor attention negatively predicts future cumulative coin market returns.

Research on the equity market (e.g., Hong, Lim, and Stein 2000 ; Hou, Xiong, and Peng 2009 ) shows that there is a strong interaction between momentum and investor attention. Sockin and Xiong (2019) also show that investor attention can generate momentum in the cryptocurrency market, and in their model, the momentum effect disappears controlling for investor attention. We investigate whether there is a similar interaction between momentum and investor attention in the cryptocurrency market. We find that investor attention is high during and after periods of high coin market returns. However, in a bivariate coin market predictability regression with both variables, we show that the two effects do not subsume each other. Finally, we test whether the magnitude of the momentum effect is different during periods of high investor attention and vice versa. In contrast to the equity market, we show that there is limited interaction between cryptocurrency momentum and investor attention.

Moreover, we test whether the cryptocurrency valuation ratios similar to those in the financial markets can predict future coin market returns. In the equity market, the fundamental-to-market ratios are commonly referred to as valuation ratios and are measured as the ratio of the book value of equity to the market value of equity or some other ratio of fundamental value to market value. It is more difficult to define a similar measure of the fundamental value for cryptocurrency. In their dynamic cryptocurrency asset pricing model, Cong, Li, and Wang (2019) show that the cryptocurrency fundamental-to-value ratio, defined as the number of user adoptions over market capitalization, negatively predicts future cryptocurrency returns. Motivated by the theoretical model and studies of other financial markets, we construct six cryptocurrency valuation ratios and test the return predictability of these valuation ratios. Although the coefficient estimates are consistently negative, none of the six cryptocurrency valuation ratios predict future cumulative coin market returns significantly.

Another approach to study what cryptocurrencies represent is to examine the exposures of cryptocurrency returns to other asset classes. In other words, we assess how investors and markets value current and future prospects of cryptocurrencies. The theoretical literature and the community of cryptocurrency have proposed various narratives for what cryptocurrencies represent. Schilling and Uhlig (2019) argue that, in an endowment economy where fiat money and cryptocurrency coexist and compete, the cryptocurrency returns comove with the price evolution of the fiat money. Athey et al. (2016) emphasize the importance of currency exchange rates on cryptocurrency prices. Another popular narrative is that cryptocurrency is “digital gold” and represents a new way to store value. Specifically, we study whether major cryptocurrencies comove with currencies, commodities, stocks, and macroeconomic factors. In contrast to these popular explanations, we find that the exposures of cryptocurrencies to these traditional assets are low. Overall, there is little evidence, in the view of the markets, behind the narrative that there are similarities between cryptocurrencies and these traditional assets.

We note several additional results. First, we acknowledge that we have a short time series and that there is much uncertainty and learning about cryptocurrencies during the sample period. We show that our main results are similar for the first half and the second half of the sample. Second, we discuss the relationship between the cryptocurrency time-series momentum and cross-sectional momentum. Third, we investigate the importance of regulative events in affecting cryptocurrency prices, and show that negative regulative events but not positive regulative events significantly affect cryptocurrency prices. Fourth, we examine the importance of speculative interests in driving cryptocurrency prices. We show that cryptocurrency returns are higher when speculative interests increase, but the coefficient estimates are only marginally significant. Fifth, we construct a direct measure of cryptocurrency investor sentiment and show that the expected coin market return is higher when investor sentiment is high. In the multivariate regressions with the sentiment, investor attention, and momentum measures, all three variables are statistically significant in predicting future cryptocurrency returns. Sixth, we test the role of beauty contests in the cryptocurrency market. Motivated by Biais and Bossaerts (1998) , we use the volume-volatility ratio to capture the degree of disagreement in the cryptocurrency market and show that cryptocurrency return is high when the current volume-volatility ratio is high. Seventh, we conduct a VAR analysis with the coin market returns and the different measures of coin network growth measures. Eighth, we test the effect of production factors with an alternative specification. Lastly, we examine the subsample results based on cryptocurrency characteristics.

Our paper uses standard textbook empirical asset pricing tools and methods, the discussion of which we mostly omit for conciseness. Our findings on momentum are related to a series of papers such as Jegadeesh and Titman (1993) , Moskowitz and Grinblatt (1999) , Moskowitz, Ooi, and Pedersen (2012) , Asness, Moskowitz, and Pedersen (2013) , and Daniel and Moskowitz (2016) . Da, Engelberg, and Gao (2011) use Google searches to proxy for investor attention.

Yermack (2015) is one of the first papers that brought academic attention to the field of cryptocurrency. Several recent articles document individual facts related to cryptocurrency investment. Stoffels (2017) studies cross-sectional cryptocurrency momentum. Hu, Parlour, and Rajan (2018) show that individual cryptocurrency returns correlate with Bitcoin returns. Borri (2019) shows that individual cryptocurrencies are exposed to cryptomarket tail-risks. Makarov and Schoar (2020) and Borri and Shakhnov (2018) find that cryptocurrency markets exhibit periods of potential arbitrage opportunites across exchanges. Griffin and Shams (2020) study Bitcoin price manipulation. Corbet et al. (2019) studies cryptocurrencies as a financial asset. Moreover, a number of recent papers develop models of cryptocurrencies (see, e.g., Weber 2016 ; Huberman, Leshno, and Moallemi 2017 ; Biais et al. 2018 ; Chiu and Koeppl 2017 ; Cong and He 2019 ; Cong, Li, and Wang 2019 ; Cong, He, and Li 2018 ; Sockin and Xiong 2019 ; Saleh 2018 ; Schilling and Uhlig 2019 ; Jermann 2018 ; Abadi and Brunnermeier 2018 ; Routledge and Zetlin-Jones 2018 ).

We collect trading data of all cryptocurrencies available from Coinmarketcap.com. Coinmarketcap.com is a leading source of cryptocurrency price and volume data. It aggregates information from over 200 major exchanges and provides daily data on opening, closing, high, and low prices, as well as volume and market capitalization (in dollars) for most of the cryptocurrencies. 3 For each cryptocurrency on the website, Coinmarketcap.com calculates its price by taking the volume-weighted average of all prices reported at each market. A cryptocurrency needs to meet a list of criteria to be listed, such as being traded on a public exchange with an application programming interface (API) that reports the last traded price and the last 24-hour trading volume, and having a nonzero trading volume on at least one supported exchange so that a price can be determined. Coinmarketcap.com lists both active and defunct cryptocurrencies, thus alleviating concerns about survivorship bias.

We first construct a coin market return as the value-weighted return of all the underlying coins. We use daily close prices to construct daily coin market returns. The weekly and monthly coin market returns are calculated from the daily coin market returns. We require the coins to have information on price, volume, and market capitalization. We further exclude coins with market capitalizations of less than 1,000,000 USD. For earlier years that are not covered by Coinmarketcap.com, we splice the coin market returns with Bitcoin returns from earlier years. The data of the earlier year Bitcoin returns are from CoinDeck and span from January 1, 2011, to April 29, 2013. We start from January 1, 2011, because there was not much liquidity and trading before that date. Altogether, the index of the coin market return covers the period from January 1, 2011, to December 31, 2018.

We use four primary measures to proxy for the network effect of user adoption: the number of wallet users, the number of active addresses, the number of transaction count, and the number of payment count. The data of wallet users are from Blockchain.info. We obtain data on active addresses, transaction count, and payment count from Coinmetrics.io. We use seven primary production factors to proxy for the cost of mining: the average price of electricity in the United States, the net generation of electricity of all sectors in the United States, the total electricity consumption of all sectors in the United States, the average price of electricity in China, and the average price of electricity in Sichuan province. We obtain data on the average price of electricity in the United States, the net generation of electricity of all sectors in the United States, and the total electricity consumption of all sectors in the United States from the U.S. Energy Information Administration. We obtain data on the average price of electricity in China and the average price of electricity in Sichuan province from the National Bureau of Statistics of China and the Price Monitoring Center, NDRC. Our primary computing cost data are the prices of Bitmain Antminer. We extract the Bitmain Antminer data from Keepa.com. The data for Bitmain Antminer start from September 2015.

Google search data series are downloaded from Google. Twitter post counts for the word “Bitcoin” are downloaded from Crimson Hexagon. 4 The spot exchange rates in units of U.S. dollars per foreign currency are from the Federal Reserve Bank of St. Louis. We focus on five major currencies: Australian dollar, Canadian dollar, euro, Singaporean dollar, and U.K. pound. The spot prices of precious metals are from several sources. The gold and silver prices are from the London Bullion Market Association (LBMA). Platinum prices are from the London Platinum and Palladium Market (LPPM).

Aggregate and individual stock returns are from CRSP. Detailed SIC three-digit industry return data series are constructed using individual stock returns. Chinese stock return data are from CSMAR. We build the value-weighted aggregate Chinese stock returns and detailed CIC (China Industry Classification) industry return data series from the individual stocks. The data series of Chinese stock returns last until December 2016. The return series of the 155 anomalies are downloaded from Andrew Chen’s website. 5

We obtain data on the Fama-French three-factor, Carhart four-factor, Fama-French five-factor, and Fama-French six-factor models from Kenneth French’s website. We also collect the return series of Fama-French 30 industries, Europe, Japan, AsiaExJapan, and North America from Kenneth French’s website.

The macroeconomic data series are from the website of the Federal Reserve Bank of St. Louis. Nondurable consumption is defined as the sum of personal consumption expenditures: nondurable goods, and personal consumption expenditures: services.

Stock market prices, dividends, and earnings, as well as the three-month Treasury bill rates, are from Robert Shiller’s website. Using these data series, we construct the stock market price-to-dividend ratio (pd), price-to-earnings ratio (pe), and the relative bill rate (tbill). The relative bill rate is defined as the three-month Treasury bill rate minus its 12 month backward moving average. Credit spread (credit) is defined as the yield spread between BAA corporate bonds and AAA corporate bonds. Term spread (term) is defined as the yield spread between the 10-year Treasury and 3-month Treasury. Data series on the BAA corporate yield, AAA corporate yield, 10-year Treasury yield, and 3-month Treasury yield are from the Federal Reserve Bank of St. Louis’s website.

We now document the main statistical properties of the time series for the coin market returns. Figure 1 shows the return distributions of coin market returns and coin market log returns at daily, weekly, and monthly frequencies. Figure 2 plots the price movements of the coin market compared with those of the three major cryptocurrencies. There are strong comovements across the three major cryptocurrencies. Table 1 compares the properties of the coin market returns with those of Bitcoin returns, Ethereum returns, Ripple returns, and stock market returns.

Coin market return distributions

Coin market return distributions

This figure plots the distributions of daily, weekly, and monthly cryptocurrency returns and log returns.

Cryptocurrency market returns and major coins

Cryptocurrency market returns and major coins

This figure plots the cryptocurrency market returns against Bitcoin, Ethereum, and Ripple. The figures show the value of investment over time for one dollar of investment at the starting point of the graphs. The Bitcoin graph starts at April 29, 2013. The Ethereum graph starts at August 8, 2015. The Ripple graph starts at August 5, 2013.

Summary statistics

Panel A. Summary statistics of main variables
DailyMeanSD -StatSharpeSkewnessKurtosis% |$>$| 0
CMKT0.46%5.46%4.600.080.7415.5254.04
Bitcoin0.46%5.44%4.660.080.8215.5653.61
Ethereum0.60%7.39%2.860.080.2715.9848.63
Ripple0.53%7.84%2.660.076.06100.3746.08
Stock0.05%0.95%2.210.05–0.467.8854.57
        
WeeklyMeanSD -StatSharpeSkewnessKurtosis% |$>$| 0
CMKT3.44%16.50%4.250.211.7410.2257.31
Bitcoin3.44%16.29%4.320.211.7910.5859.47
Ethereum4.84%24.33%2.650.201.467.5951.69
Ripple5.72%45.59%2.110.137.7780.5846.45
Stock0.22%1.98%2.280.11–0.475.1559.71
        
MonthlyMeanSD -StatSharpeSkewnessKurtosis% |$>$| 0
CMKT20.44%70.80%2.830.294.3726.5458.33
Bitcoin19.64%66.66%2.890.294.3726.0158.33
Ethereum23.27%65.03%2.290.361.424.5348.78
Ripple32.68%137.29%1.920.244.0120.4938.46
Stock0.94%3.42%2.700.27–0.424.0768.75
Panel B. Extreme events of daily CMKT returns
 DisastersCounts%MiraclesCounts% 
 |$<$| –5 %2508.56%|$>$| 5 %31810.88% 
 |$<$| –10 %852.91%|$>$| 10 %1073.66% 
 |$<$| –20 %140.48%|$>$| 20 %260.89% 
 |$<$| –30 %30.10%|$>$| 30 %100.34% 
Panel A. Summary statistics of main variables
DailyMeanSD -StatSharpeSkewnessKurtosis% |$>$| 0
CMKT0.46%5.46%4.600.080.7415.5254.04
Bitcoin0.46%5.44%4.660.080.8215.5653.61
Ethereum0.60%7.39%2.860.080.2715.9848.63
Ripple0.53%7.84%2.660.076.06100.3746.08
Stock0.05%0.95%2.210.05–0.467.8854.57
        
WeeklyMeanSD -StatSharpeSkewnessKurtosis% |$>$| 0
CMKT3.44%16.50%4.250.211.7410.2257.31
Bitcoin3.44%16.29%4.320.211.7910.5859.47
Ethereum4.84%24.33%2.650.201.467.5951.69
Ripple5.72%45.59%2.110.137.7780.5846.45
Stock0.22%1.98%2.280.11–0.475.1559.71
        
MonthlyMeanSD -StatSharpeSkewnessKurtosis% |$>$| 0
CMKT20.44%70.80%2.830.294.3726.5458.33
Bitcoin19.64%66.66%2.890.294.3726.0158.33
Ethereum23.27%65.03%2.290.361.424.5348.78
Ripple32.68%137.29%1.920.244.0120.4938.46
Stock0.94%3.42%2.700.27–0.424.0768.75
Panel B. Extreme events of daily CMKT returns
 DisastersCounts%MiraclesCounts% 
 |$<$| –5 %2508.56%|$>$| 5 %31810.88% 
 |$<$| –10 %852.91%|$>$| 10 %1073.66% 
 |$<$| –20 %140.48%|$>$| 20 %260.89% 
 |$<$| –30 %30.10%|$>$| 30 %100.34% 

This table documents the summary statistics of the coin market returns (CMKT). Panel A reports the daily, weekly, and monthly summary statistics of the coin market index and compares them with returns for Bitcoin, Ethereum, Ripple, and the stock market. The mean, standard deviation, t -statistics, Sharpe ratio, skewness, kurtosis, and the percentage of obervations that are positive are reported. Panel B reports the percentage of extreme events based on the daily coin market index returns. The coin market returns, the Bitcoin returns, and the stock market returns are from January 1, 2011, to December 31, 2018. The Ethereum returns are from August 8, 2015, to December 31, 2018. The Ripple returns are from August 5, 2013 to December 31, 2018.

Table 1 shows the statistics of the coin market returns at the daily, weekly, and monthly frequencies compared with those of the stock market returns. Both the average and the standard deviation of the coin market returns are very high. At the daily frequency, the mean return is 0.46% and the standard deviation is 5.46%; at the weekly frequency, the mean return is 3.44% and the standard deviation is 16.50%; at the monthly frequency, the mean return is 20.44% and the standard deviation is 70.80%. Both the means and the standard deviations are an order of magnitude higher than those for the stock market returns. These facts are broadly known.

The Sharpe ratios of the coin market returns are 0.08 at the daily frequency, 0.21 at the weekly frequency, and 0.29 at the monthly frequency. At the daily and weekly frequencies, the Sharpe ratios of the coin market are about 60% and 90% higher than those of the stock market for the comparable time period. At the monthly frequency, the Sharpe ratio is similar to that of the stock market for the comparable time period.

We compare the characteristics of the coin market returns to those of the Bitcoin, Ripple, and Ethereum returns. Note that the Ripple return series starts on August 4, 2013, and the Ethereum return series starts on August 7, 2015. For the Bitcoin returns, the Sharpe ratios are 0.08 at the daily frequency, 0.21 at the weekly frequency, and 0.29 at the monthly frequency. For Ethereum, the Sharpe ratios are 0.08 at the daily frequency, 0.20 at the weekly frequency, and 0.36 at the monthly frequency. The Ethereum returns have a higher mean and standard deviation than the coin market returns. For the Ripple returns, the Sharpe ratios are 0.07 at the daily frequency, 0.13 at the weekly frequency, and 0.24 at the monthly frequency. The Ripple returns have a markedly higher mean and standard deviation compared with those of the coin market returns. The Sharpe ratios of Ripple returns are lower than those of the coin market returns at all three frequencies.

The coin market returns are positively skewed at all frequencies, in contrast to the stock returns, which are negatively skewed. The skewness increases from 0.74 at the daily frequency to 1.74 at the weekly frequency, and to 4.37 at the monthly frequency. The corresponding kurtosis is 15.52 at the daily frequency, 10.22 at the weekly frequency, and 26.54 at the monthly frequency. All three of the major cryptocurrencies have positive skewness and high kurtosis. The coin market returns have high probabilities of exceptional negative and positive daily returns. For example, the probability of a –20% daily return is almost 0.5%, and the probability of a 20% daily return is almost 0.9%.

In the Internet Appendix , we also show the mean, standard deviation, and Sharpe ratios of the returns on different days of the week. In contrast to the stocks, there is no pronounced Monday effect. However, the returns are lower on Saturdays: the average Sunday coin market return is 0.28% with a Sharpe ratio of 0.05, compared with a 0.46% daily average with a Sharpe ratio of 0.08; the average Sunday Bitcoin is 0.29% with a Sharpe ratio of 0.06, compared with a 0.46% daily average with a Sharpe ratio of 0.08; the average Sunday Ethereum is 0.25% with a Sharpe ratio of 0.03, compared with a 0.60% daily average with a Sharpe ratio of 0.08; and the average Sunday Ethereum is –0.15% with a Sharpe ratio of –0.02, compared with a 0.53% daily average with a Sharpe ratio of 0.07. While the coin market and Bitcoin returns are somewhat lower on Sundays, the returns on Saturday are consistently lower.

The theoretical literature has proposed a number of cryptocurrency-specific factors as drivers of cryptocurrency prices and as predictors of cryptocurrency returns. In this section, we develop and investigate the implications of cryptocurrency-specific factors. We first construct cryptocurrency network and production factors. We find that the coin market returns are strongly exposed to the network factors but not the production factors. Then, we test if cryptocurrency returns are predictable by studying whether different cryptocurrency-specific factors can predict future coin market returns. We consider momentum, proxies for investor attention, and proxies for cryptocurrency valuation ratios. All of these variables are specific to the cryptocurrency markets. We find that momentum and proxies for investor attention can account for future coin market returns, and thus strongly reject the notion that cryptocurrency prices are a martingale.

2.1 Network factors

The theoretical literature on cryptocurrency has emphasized the importance of network factors in the valuation of cryptocurrencies (e.g., Cong, Li, and Wang 2019 ; Sockin and Xiong 2019 ; Pagnotta and Buraschi 2018 ; Biais et al. 2018 ). In particular, the network effect of user adoption can potentially play a central role in the valuation of cryptocurrencies. Because users’ adoption of cryptocurrencies generates positive network externality, cryptocurrency prices respond to user adoptions. Hence, variations in user adoptions of the cryptocurrency network could contribute to movements in cryptocurrency prices.

We construct network factors of cryptocurrency and test whether these factors can account for variations in cryptocurrency prices. We use four measures to proxy for the network effect: the number of wallet users, the number of active addresses, the number of transaction count, and the number of payment count. 6 Thus, we measure cryptocurrency network growth using the wallet user growth, active address growth, transaction count growth, and payment count growth. We also construct a composite measure by taking the first principal component of the four primary measures, which we denote as |$PC^{network}$|⁠ . Panel A of Table 2 reports the correlation across the network factors we consider. The four primary measures correlate with each other positively, with correlations ranging from 0.17 to 0.77. The first principal component of the four demand factors strongly correlates with all four of the primary measures. The first principal component has correlations of 0.45, 0.88, 0.88, and 0.90 with the wallet user growth measure, the active address growth measure, the transaction count growth measure, and the payment count growth measure, respectively.

Cryptocurrency return loadings to network factors

Panel A. Correlation of network factors
 |$\Delta$|user|$\Delta$|address|$\Delta$|trans|$\Delta$|payment 
|$\Delta$|user1.000.350.170.27 
|$\Delta$|address 1.000.680.67 
|$\Delta$|trans  1.000.77 
|$\Delta$|payment   1.00 
|$PC^{network}$|0.450.880.880.90 
Panel B. Network factor exposures
 (1)(2)(3)(4)(5)
|$\Delta$|user1.40     
 (1.98)    
|$\Delta$|address 1.86    
  (5.34)   
|$\Delta$|tran  0.68   
   (2.14)  
|$\Delta$|payment   0.95  
    (3.42) 
|$PC^{network}$|    0.09
     (4.25)
|$R^{2}$|0.050.300.100.180.19
Panel A. Correlation of network factors
 |$\Delta$|user|$\Delta$|address|$\Delta$|trans|$\Delta$|payment 
|$\Delta$|user1.000.350.170.27 
|$\Delta$|address 1.000.680.67 
|$\Delta$|trans  1.000.77 
|$\Delta$|payment   1.00 
|$PC^{network}$|0.450.880.880.90 
Panel B. Network factor exposures
 (1)(2)(3)(4)(5)
|$\Delta$|user1.40     
 (1.98)    
|$\Delta$|address 1.86    
  (5.34)   
|$\Delta$|tran  0.68   
   (2.14)  
|$\Delta$|payment   0.95  
    (3.42) 
|$PC^{network}$|    0.09
     (4.25)
|$R^{2}$|0.050.300.100.180.19

This table reports the factor loadings of the coin market returns on the network factors. The network factors include wallet user growth, active address growth, transaction count growth, payment count growth, and the first principal component of the four primary measures. Panel A shows the correlation matrix of the variables. Panel B reports the loadings of the coin market returns on the network factors. The standard t -statistic is reported in parentheses. *, **, and *** denote significance levels at the 10%, 5%, and 1% levels based on the standard t -statistics. The data frequency is monthly.

We regress the coin market returns on each of the four measures of changes in the cryptocurrency network and the composite measure. Panel B of Table 2 presents the results using the network factors. The coin market returns positively correlate with all four of the individual cryptocurrency network factors and the composite measure. The coefficient on the wallet user growth measure is significant at the 10% level, and the three other coefficients are significant at the 1% level. The |$R^2$| s range from 5% for the wallet user growth measure to 30% for the active address growth measure. The |$R^2$| s using the composite measure is 19%. Consistent with the theoretical models, these results suggest that the network factors that measure the network effect of user adoptions are important drivers of cryptocurrency prices.

Moreover, in a dynamic cryptocurrency pricing model with the network effect, cryptocurrency prices not only reflect current cryptocurrency adoption but also contain information about expected future network growth—a key mechanism of Cong, Li, and Wang (2019) . We test this model implication by examining whether current coin market returns contain information about future cryptocurrency network growth. In particular, we predict cumulative future cryptocurrency adoption growth over different horizons using current coin market returns. We investigate cumulative future cryptocurrency adoption growth from one-month to eight-month horizons. We use cumulative wallet user growth, active address growth, transaction count growth, and payment count growth to capture cryptocurrency adoption growth.

Consistent with the prediction that cryptocurrency returns reflect expected future cryptocurrency adoptions, we find that coin market returns positively predict future cryptocurrency adoption growth as shown in Table 3 . Specifically, coin market returns positively and statistically significantly predict cumulative wallet user growth at all the horizons. Coin market returns positively and statistically significantly predict cumulative active address growth and cumulative payment count growth for the first three periods and two periods, respectively, and cease to be significant afterward. The coin market returns positively predict cumulative transaction count growth for the first five periods, but the predictability is not statistically significant. The only exception is the transaction growth measure: there is an insignificant, negative effect on transaction growth over the long horizons. A possible explanation for the negative effect is congestion, as it becomes very expensive to transact in Bitcoin when there is congestion, which deters many of the smaller transactions that would have occurred otherwise (e.g., Easley, O’Hara, and Basu 2019 ).

Predicting future network growth

 (1)(2)(3)(4)(5)(6)(7)(8)
|$\Delta$|user
|$cmkt$|0.13 0.21 0.28 0.32 0.35 0.36 0.39 0.44
 (4.09)(3.55)(3.37)(3.25)(2.99)(2.67)(2.44)(2.30)
|$Cons$|0.09 0.19 0.28 0.36 0.45 0.53 0.61 0.68
 (7.39)(6.25)(5.51)(5.00)(4.66)(4.40)(4.23)(4.12)
|$R^{2}$|0.200.150.120.100.080.060.060.06
|$\Delta$|address
|$cmkt$|0.24 0.31 0.29 0.260.220.150.170.15
 (2.94)(1.94)(1.79)(1.54)(1.25)(0.94)(1.24)(1.20)
|$Cons$|0.04 0.09 0.14 0.20 0.25 0.29 0.33 0.37
 (2.61)(2.78)(2.85)(3.15)(3.54)(3.98)(4.24)(4.36)
|$R^{2}$|0.260.150.080.050.030.010.020.02
|$\Delta$|trans
|$cmkt$|0.140.150.040.040.05-0.02-0.05-0.14
 (1.59)(0.91)(0.24)(0.21)(0.27)(-0.10)(-0.35)(-0.90)
|$Cons$|0.05 0.10 0.16 0.22 0.26 0.30 0.35 0.40
 (2.37)(2.79)(2.93)(3.10)(3.33)(3.54)(3.56)(3.55)
|$R^{2}$|0.070.030.000.000.000.000.000.01
|$\Delta$|payment
|$cmkt$|0.25 0.32 0.270.230.230.120.110.06
 (2.60)(1.78)(1.37)(1.10)(1.06)(0.64)(0.61)(0.38)
|$Cons$|0.04 0.09 0.15 0.21 0.26 0.31 0.34 0.38
 (1.79)(2.11)(2.33)(2.57)(2.85)(3.13)(3.22)(3.22)
|$R^{2}$|0.170.100.050.020.020.010.000.00
 (1)(2)(3)(4)(5)(6)(7)(8)
|$\Delta$|user
|$cmkt$|0.13 0.21 0.28 0.32 0.35 0.36 0.39 0.44
 (4.09)(3.55)(3.37)(3.25)(2.99)(2.67)(2.44)(2.30)
|$Cons$|0.09 0.19 0.28 0.36 0.45 0.53 0.61 0.68
 (7.39)(6.25)(5.51)(5.00)(4.66)(4.40)(4.23)(4.12)
|$R^{2}$|0.200.150.120.100.080.060.060.06
|$\Delta$|address
|$cmkt$|0.24 0.31 0.29 0.260.220.150.170.15
 (2.94)(1.94)(1.79)(1.54)(1.25)(0.94)(1.24)(1.20)
|$Cons$|0.04 0.09 0.14 0.20 0.25 0.29 0.33 0.37
 (2.61)(2.78)(2.85)(3.15)(3.54)(3.98)(4.24)(4.36)
|$R^{2}$|0.260.150.080.050.030.010.020.02
|$\Delta$|trans
|$cmkt$|0.140.150.040.040.05-0.02-0.05-0.14
 (1.59)(0.91)(0.24)(0.21)(0.27)(-0.10)(-0.35)(-0.90)
|$Cons$|0.05 0.10 0.16 0.22 0.26 0.30 0.35 0.40
 (2.37)(2.79)(2.93)(3.10)(3.33)(3.54)(3.56)(3.55)
|$R^{2}$|0.070.030.000.000.000.000.000.01
|$\Delta$|payment
|$cmkt$|0.25 0.32 0.270.230.230.120.110.06
 (2.60)(1.78)(1.37)(1.10)(1.06)(0.64)(0.61)(0.38)
|$Cons$|0.04 0.09 0.15 0.21 0.26 0.31 0.34 0.38
 (1.79)(2.11)(2.33)(2.57)(2.85)(3.13)(3.22)(3.22)
|$R^{2}$|0.170.100.050.020.020.010.000.00

This table reports the results of predicting cumulative future coin network growth with coin market returns. The network factors include wallet user growth, active address growth, transaction count growth, and payment count growth. Data are monthly. The t -statistics are reported in parentheses and are Newey-West adjusted with |$n-1$| lags. *, **, and *** denote significance levels at the 10%, 5%, and 1% levels. The data frequency is weekly.

2.2 Production factors

Several papers have argued that the costs of mining are essential for the infrastructure and security of cryptocurrencies (e.g., Sockin and Xiong 2019 ; Abadi and Brunnermeier 2018 ; Cong, He, and Li 2018 ). Notably, Sockin and Xiong (2019) show that, in a general equilibrium model with cryptocurrency production, the prices of the cryptocurrency are intimately linked to the marginal cost of mining.

We construct production factors of cryptocurrency to proxy for the cost of mining and test the relationship between these production factors and cryptocurrency prices. To the first approximation, mining a cryptocurrency requires two inputs: electricity and computer power. We separately construct proxies for electricity costs and computing costs. We first discuss our proxies for electricity costs. For electricity, we use seven primary measures. Three of the seven primary measures are U.S.-related: (i) average price of electricity in the United States, (ii) net generation of electricity of all sectors in the United States, and (iii) total electricity consumption of all sectors in the United States. The other four measures are China-related: (i) average price of electricity in China, (ii) electricity generation in China, (iii) average price of electricity in Sichuan province, and (iv) electricity generation in Sichuan province. We include the China proxies, because electricity supply is location specific and because China is considered to have the largest coin-mining operation among all countries. 7 We include Sichuan province proxies because Sichuan province hosts the largest mining farm in the world. Similarly, we also construct a composite measure as the first principal component of these seven primary measures. We denote the composite measure as |$PC^{elec}$|⁠ .

Panel A of Table 4 presents the correlation matrix of the electricity factors. Except for the two electricity price measures in China, the other five primary measures positively and strongly correlate with one another. Electricity prices in China are under strict government control. Unsurprisingly, they have low correlations with other electricity measures. The first principal component of the seven electricity factors strongly and positively correlates with most of the seven primary factors. The correlations are 0.76, 0.93, 0.88, 0.71, and 0.77 with the U.S. electricity price growth measure, the net U.S. generation growth measure, the U.S. electricity consumption growth measure, the China generation growth measure, and the Sichuan generation growth measure, respectively. The correlation between the first principal component and the China electricity price growth measure is –0.15, and the correlation between the first principal component and the Sichuan electricity price growth measure is 0.18. Panel B of Table 4 presents the electricity factor results for the coin market returns. Somewhat surprisingly, the coin market returns are not statistically significantly exposed to any of these production factor proxies. The |$R^2$| s of these regressions are low.

Cryptocurrency return loadings to electricity factors

Panel A. correlation of electricity factors
|$\Delta$||$P^{US}$||$Gen^{US}$||$Con^{US}$||$P^{CN}$||$P^{SC}$||$Gen^{CN}$||$Gen^{SC}$| 
|$P^{US}$|1.000.600.59-0.090.160.250.63 
|$Gen^{US}$| 1.000.93-0.130.110.640.55 
|$Con^{US}$|  1.00-0.130.150.510.48 
|$P^{CN}$|   1.00-0.00-0.06-0.01 
|$P^{SC}$|    1.000.060.04 
|$Gen^{CN}$|     1.000.55 
|$Gen^{SC}$|      1.00 
|$PC^{elec}$|0.760.930.88-0.150.180.710.77 
Panel B. Electricity factor exposures
 (1)(2)(3)(4)(5)(6)(7)(8)
|$P^{US}$|-1.06       
 (-0.34)       
|$Gen^{US}$| 0.30      
  (0.38)      
|$Con^{US}$|  0.17     
   (0.31)     
|$P^{CN}$|   -7.39    
    (-0.72)    
|$P^{SC}$|    3.24   
     (0.50)   
|$Gen^{CN}$|     0.11  
      (0.12)  
|$Gen^{SC}$|      -0.60 
       (-1.16) 
|$PC^{elec}$|       -0.00
        (-0.02)
         
|$R^{2}$|0.000.000.000.010.000.000.010.00
Panel A. correlation of electricity factors
|$\Delta$||$P^{US}$||$Gen^{US}$||$Con^{US}$||$P^{CN}$||$P^{SC}$||$Gen^{CN}$||$Gen^{SC}$| 
|$P^{US}$|1.000.600.59-0.090.160.250.63 
|$Gen^{US}$| 1.000.93-0.130.110.640.55 
|$Con^{US}$|  1.00-0.130.150.510.48 
|$P^{CN}$|   1.00-0.00-0.06-0.01 
|$P^{SC}$|    1.000.060.04 
|$Gen^{CN}$|     1.000.55 
|$Gen^{SC}$|      1.00 
|$PC^{elec}$|0.760.930.88-0.150.180.710.77 
Panel B. Electricity factor exposures
 (1)(2)(3)(4)(5)(6)(7)(8)
|$P^{US}$|-1.06       
 (-0.34)       
|$Gen^{US}$| 0.30      
  (0.38)      
|$Con^{US}$|  0.17     
   (0.31)     
|$P^{CN}$|   -7.39    
    (-0.72)    
|$P^{SC}$|    3.24   
     (0.50)   
|$Gen^{CN}$|     0.11  
      (0.12)  
|$Gen^{SC}$|      -0.60 
       (-1.16) 
|$PC^{elec}$|       -0.00
        (-0.02)
         
|$R^{2}$|0.000.000.000.010.000.000.010.00

This table reports the factor loadings of the coin market returns on the production factors that relate to electricity costs. Panel A shows the correlation matrix of the production factors. Panel B reports the factor loadings of the coin market returns on the production factors. Standard t -statistics are reported in parentheses. *, **, and *** denote significance levels at the 10%, 5%, and 1% levels based on the standard t -statistics. The data frequency is monthly.

For proxies of computing costs, we use as our primary measure the prices of Bitmain Antminer, a major piece of Bitcoin mining equipment. We also consider the excess stock returns of the companies that are major manufacturers of either GPU mining chips (Nvidia Corporation and Advanced Micro Devices, Inc.) or ASIC mining chips (Taiwan Semiconductor Manufacturing Company, Limited, and Advanced Semiconductor Engineering, Inc.). 8 We construct a composite measure as the first principal component of these five primary computing factors. We denote the composite measure as |$PC^{comp}$|⁠ .

Panel A of Table 5 presents the correlation matrix of the computing factors. Most of the pairs are positively correlated. The correlation between Antminer price growth and Nvidia return is –0.03, and the correlation between Antminer price growth and AMD return is –0.15. The first principal component is positively correlated with the four return measures and has a low correlation with the Antminer price growth measure. Panel B of Table 5 presents the computing factor results for the coin market returns. The coin market returns have insignificant loadings on the four excess return measures. The coin market returns have some loadings on the Antminer price growth measure, but they are only significant at the 10% level. The coin market returns are not significantly exposed to the first principal component.

Cryptocurrency return loadings to computing factors

Panel A. Correlation of computing factors
 |$\Delta P^{Antminer}$|NvidiaAMDTSMCASE 
|$\Delta P^{Antminer}$|1.00-0.03-0.150.000.09 
Nvidia 1.000.420.520.31 
AMD  1.000.270.26 
TSMC   1.000.71 
ASE    1.00 
|$PC^{comp}$|-0.030.740.590.870.78 
Panel B. Computing factor exposures
 (1)(2)(3)(4)(5)(6)
|$\Delta P^{Antminer}$|0.31^*     
 (1.90)     
Nvidia 0.50    
  (0.84)    
AMD  -0.02   
   (-0.03)   
TSMC   0.03  
    (0.02)  
ASE    0.45 
     (0.47) 
|$PC^{comp}$|     0.00
      (0.04)
|$R^{2}$|0.090.060.030.000.010.00
Panel A. Correlation of computing factors
 |$\Delta P^{Antminer}$|NvidiaAMDTSMCASE 
|$\Delta P^{Antminer}$|1.00-0.03-0.150.000.09 
Nvidia 1.000.420.520.31 
AMD  1.000.270.26 
TSMC   1.000.71 
ASE    1.00 
|$PC^{comp}$|-0.030.740.590.870.78 
Panel B. Computing factor exposures
 (1)(2)(3)(4)(5)(6)
|$\Delta P^{Antminer}$|0.31^*     
 (1.90)     
Nvidia 0.50    
  (0.84)    
AMD  -0.02   
   (-0.03)   
TSMC   0.03  
    (0.02)  
ASE    0.45 
     (0.47) 
|$PC^{comp}$|     0.00
      (0.04)
|$R^{2}$|0.090.060.030.000.010.00

This table reports the factor loadings of the coin market returns on the production factors that relate to computing costs. Panel A shows the correlation matrix of the production factors. Panel B reports the factor loadings of the coin market returns on the production factors. Standard t -statistics are reported in parentheses. *, **, and *** denote significance levels at the 10%, 5%, and 1% levels based on the standard t -statistics. The data frequency is monthly.

The model of Sockin and Xiong (2019) primarily concerns utility tokens. Therefore, we conduct our analyses on production factors on Bitcoin, Ethereum, and Ripple, respectively. Because Ethereum and Ripple are utility tokens, while Bitcoin is not, we expect to find that Ethereum and Ripple load significantly on the production factors. We show the results in the Internet Appendix . There is some evidence that Bitcoin returns are exposed to the Bitmain Antminer price growth, but Bitcoin and Ripple returns do not load significantly on these production factors. Overall, there is limited evidence that the computing factors are important drivers of cryptocurrency returns.

Lastly, we test the lead-lag effects between the changes in production factors and cryptocurrency returns to account for possible anticipation effects. We document the results in the Internet Appendix . We show that the one-month-ahead coin market returns are not significantly exposed to most of the production factors. The only exception is the changes in the average price of electricity in the United States, but the significant level is negative and only at the 10% level. However, we find that the current coin market returns positively predict some of the future production factors. In particular, the coin market returns positively and statistically significantly predict future changes in the average price of electricity in the United States, net generation of electricity of all sectors in the United States, total electricity consumption of all sectors in the United States, electricity generation in Sichuan province, and the first principal component of the production factors. Interestingly, we find that the results are stronger for the U.S.-based measures relative to the China-based measures. This is consistent with the fact that electricity prices and generation are heavily regulated in China. These results are consistent with a potential anticipation effect of production costs in the cryptocurrency market.

2.3 Are cryptocurrency returns predictable?

In this section, we test whether the coin market returns are predictable. The existing theoretical models of cryptocurrencies provide various predictions on the predictability of cryptocurrency returns. Schilling and Uhlig (2019) argue that the evolution of cryptocurrency prices should follow a martingale, and thus cryptocurrency returns are not predictable. Other papers predict that, in dynamic cryptocurrency valuation models, cryptocurrency returns could potentially be predicted by momentum, investor attention, and cryptocurrency valuation ratios (e.g., Cong, Li, and Wang 2019 ; Sockin and Xiong 2019 ). Motivated by the existing theoretical development and empirical findings in the financial markets, we test whether the cryptocurrency returns are predictable by momentum, investor attention, and proxies for cryptocurrency valuation ratios.

2.3.1 Cryptocurrency momentum

One of the most studied asset pricing regularities is momentum (e.g., Jegadeesh and Titman 1993 ; Moskowitz and Grinblatt 1999 ). As discussed in Cong, Li, and Wang (2019) , the network effect of user adoption generates a positive externality that is not immediately incorporated into cryptocurrency prices. This channel can potentially lead to a momentum effect in cryptocurrency returns. In their model, Sockin and Xiong (2019) generate momentum in the cryptocurrency market through investor attention—a mechanism similar to De Long et al. (1990) .

In this section, we start by establishing that there is strong evidence of time-series momentum at various time horizons. Panel A in Table 6 documents the time-series momentum results in the regression setting. Specifically, we regress cumulative future coin market returns on current coin market returns from the one-week to eight-week horizons. The current coin market returns positively and statistically significantly predict cumulative future coin market returns at all eight horizons. The results are significant at the 5% level for the one-week to five-week horizons and are significant at the 10% level from the six-week to eight-week horizons. For example, a one-standard-deviation increase in the current coin market return leads to increases in cumulative future coin market returns of 3.30%, 9 8.09%, 13.37%, and 17.66% increases at the one-week, two-week, three-week, and four-week horizons, respectively. Specifically, the one-week-ahead weekly return is that of buying the underlying coin market index at 11:59:59 UTD Sunday and selling the underlying coin market index at 11:59:59 UTD one week later. In the Internet Appendix , we also report the results based on noncumulative returns. The current coin market returns positively and significantly predict one-week- to five-week-ahead returns. The current coin market returns positively but insignificantly predict six-week- and seven-week-ahead returns. The current coin market returns negatively but insignificantly predict eight-week-ahead returns, suggesting some potential long-term reversal effect.

Time-series momentum

Panel A. Regression results
Weekly|$R_{t,t+1}$||$R_{t,t+2}$||$R_{t,t+3}$||$R_{t,t+4}$||$R_{t,t+6}$||$R_{t,t+8}$| 
 (1)(2)(3)(4)(5)(6) 
|$R_{t}$|0.20 0.49 0.81 1.07 1.55 1.62  
 (2.53)(2.73)(3.01)(2.65)(1.94)(1.75) 
|$R^{2}$|0.040.080.090.080.060.02 
Panel B. Sorting results
Time-series momentum by groups (weekly, percentage)
Rank|$R_{t}$||$R_{t,t+1}$| -stat|$R_{t,t+2}$| -stat|$R_{t,t+4}$| -stat
Low-10.701.10(0.92)3.59(1.69)7.21(1.58)
Middle1.741.21(1.34)2.77(1.92)8.76(3.43)
High19.438.01(4.30)16.22(4.94)39.08(5.30)
Diff 6.91 12.63 31.87 
Time-series momentum by groups—No lookahead (weekly, percentage)
Rank|$R_{t}$||$R_{t,t+1}$| -stat|$R_{t,t+2}$| -stat|$R_{t,t+4}$| -stat
Low-10.860.80(0.63)2.22(1.18)2.41(0.90)
Middle1.881.44(1.50)3.05(1.94)8.53(3.08)
High18.426.42(3.34)13.25(3.91)31.60(4.27)
Diff 5.62 11.03 29.19 
Panel A. Regression results
Weekly|$R_{t,t+1}$||$R_{t,t+2}$||$R_{t,t+3}$||$R_{t,t+4}$||$R_{t,t+6}$||$R_{t,t+8}$| 
 (1)(2)(3)(4)(5)(6) 
|$R_{t}$|0.20 0.49 0.81 1.07 1.55 1.62  
 (2.53)(2.73)(3.01)(2.65)(1.94)(1.75) 
|$R^{2}$|0.040.080.090.080.060.02 
Panel B. Sorting results
Time-series momentum by groups (weekly, percentage)
Rank|$R_{t}$||$R_{t,t+1}$| -stat|$R_{t,t+2}$| -stat|$R_{t,t+4}$| -stat
Low-10.701.10(0.92)3.59(1.69)7.21(1.58)
Middle1.741.21(1.34)2.77(1.92)8.76(3.43)
High19.438.01(4.30)16.22(4.94)39.08(5.30)
Diff 6.91 12.63 31.87 
Time-series momentum by groups—No lookahead (weekly, percentage)
Rank|$R_{t}$||$R_{t,t+1}$| -stat|$R_{t,t+2}$| -stat|$R_{t,t+4}$| -stat
Low-10.860.80(0.63)2.22(1.18)2.41(0.90)
Middle1.881.44(1.50)3.05(1.94)8.53(3.08)
High18.426.42(3.34)13.25(3.91)31.60(4.27)
Diff 5.62 11.03 29.19 

This table reports the time-series momentum results. Panel A shows the regression results, and panel B shows the results based on grouping weekly coin market returns into terciles. The first part of panel B reports results for the whole sample. The second part of panel B uses the first two years of data to determine the tercile cutoffs and examine the out-of-sample time-series momentum performance. The t -statistics are reported in parentheses and are Newey-West adjusted with |$n-1$| lags. *, **, and *** denote significance levels at the 10%, 5%, and 1% levels. The data frequency is weekly.

In the first part of panel B in Table 6 , we estimate the magnitude of the time-series momentum by grouping weekly returns into terciles and evaluating their performance going forward. We find that the top terciles outperform the bottom terciles at the one- to four-week horizons, consistent with the time-series regression results presented earlier. For example, at the one-week horizon, the average return of the top tercile is 8.01% per week with a t -statistic of 4.30, while the average return of the bottom tercile is 1.10% per week with a t -statistic of 0.92. The difference between the top and bottom terciles is 6.91% at the one-week horizon. At the two-week horizon, the average of the cumulative coin market returns of the top tercile is 16.22%, and that of the bottom tercile is only 3.59%. The difference between the top and bottom terciles is 12.63%. In the additional results section, we restrict our sample to 2014 onward. Again, we find a strong and significant momentum effect of somewhat smaller magnitude. 10

In the second part of panel B in Table 6 , we use the first two years of data to determine the tercile cutoffs and study the out-of-sample time-series momentum performance. We find a strong and significant momentum effect for the out-of-sample tests. For example, at the one-week horizon, the average return of the top tercile is 6.42%, and that of the bottom tercile is 0.80%. The difference between the top and bottom terciles is 5.62%, which is economically large and slightly smaller than the in-sample result of 6.91%.

Additionally, we test whether the time-series momentum effect is linked to network externalities, as suggested in Cong, Li, and Wang (2019) . In their dynamic cryptocurrency valuation model, the momentum effect is generated by the positive externality of the network effect that is not incorporated into cryptocurrency prices immediately. That is, their model implies that controlling for cryptocurrency adoption growth would subsume the time-series momentum effect. In Table 7 , we show that there is evidence that cryptocurrency adoption growth positively predicts future coin market returns. However, controlling for cryptocurrency adoption growth does not subsume the time-series momentum effect documented presented earlier.

Momentum and network effect

Weekly|$R_{t,t+1}$||$R_{t,t+2}$||$R_{t,t+3}$||$R_{t,t+4}$||$R_{t,t+6}$||$R_{t,t+8}$|
 (1)(2)(3)(4)(5)(6)
|$R_{t}$|0.090.34 0.54 0.64 0.77 0.80
 (0.93)(1.71)(2.24)(2.14)(2.02)(2.03)
|$\Delta$|user0.640.921.251.632.784.22
 (1.63)(1.50)(1.37)(1.56)(1.57)(1.29)
|$R^{2}$|0.030.060.070.050.040.03
|$R_{t}$|0.17 0.42 0.73 0.98 1.45 1.47
 (2.21)(2.49)(2.89)(2.56)(1.88)(1.67)
|$\Delta$|address0.21 0.49 0.53 0.60 0.661.07
 (1.90)(1.96)(1.73)(1.93)(1.53)(1.90)
|$R^{2}$|0.050.100.100.090.060.02
|$R_{t}$|0.19 0.47 0.81 1.09 1.57 1.60
 (2.46)(2.67)(3.01)(2.62)(1.92)(1.68)
|$\Delta$|trans0.040.13-0.04-0.20-0.210.08
 (0.43)(0.74)(-0.16)(-0.62)(-0.34)(0.11)
|$R^{2}$|0.040.080.090.080.060.02
|$R_{t}$|0.20 0.48 0.79 1.06 1.52 1.58
 (2.55)(2.65)(2.95)(2.59)(1.91)(1.70)
|$\Delta$|payment-0.010.060.060.020.140.21
 (-0.35)(0.72)(0.54)(0.21)(0.84)(0.93)
|$R^{2}$|0.040.080.090.080.060.02
Weekly|$R_{t,t+1}$||$R_{t,t+2}$||$R_{t,t+3}$||$R_{t,t+4}$||$R_{t,t+6}$||$R_{t,t+8}$|
 (1)(2)(3)(4)(5)(6)
|$R_{t}$|0.090.34 0.54 0.64 0.77 0.80
 (0.93)(1.71)(2.24)(2.14)(2.02)(2.03)
|$\Delta$|user0.640.921.251.632.784.22
 (1.63)(1.50)(1.37)(1.56)(1.57)(1.29)
|$R^{2}$|0.030.060.070.050.040.03
|$R_{t}$|0.17 0.42 0.73 0.98 1.45 1.47
 (2.21)(2.49)(2.89)(2.56)(1.88)(1.67)
|$\Delta$|address0.21 0.49 0.53 0.60 0.661.07
 (1.90)(1.96)(1.73)(1.93)(1.53)(1.90)
|$R^{2}$|0.050.100.100.090.060.02
|$R_{t}$|0.19 0.47 0.81 1.09 1.57 1.60
 (2.46)(2.67)(3.01)(2.62)(1.92)(1.68)
|$\Delta$|trans0.040.13-0.04-0.20-0.210.08
 (0.43)(0.74)(-0.16)(-0.62)(-0.34)(0.11)
|$R^{2}$|0.040.080.090.080.060.02
|$R_{t}$|0.20 0.48 0.79 1.06 1.52 1.58
 (2.55)(2.65)(2.95)(2.59)(1.91)(1.70)
|$\Delta$|payment-0.010.060.060.020.140.21
 (-0.35)(0.72)(0.54)(0.21)(0.84)(0.93)
|$R^{2}$|0.040.080.090.080.060.02

This table reports the results that compare coin market return predictability of momentum and network effect. The table reports the results of predicting cumulative future coin market returns with current coin market returns and each of the network factors. The Newey-West adjusted t -statistics with |$n-1$| lags are reported in parentheses. *, **, and *** denote significance levels at the 10%, 5%, and 1% levels. The data frequency is weekly.

2.3.2 Cryptocurrency investor attention

The theoretical literature of cryptocurrencies has also suggested that investor attention could potentially be linked to future cryptocurrency returns (e.g., Sockin and Xiong 2019 ). In this section, we investigate the role of investor attention in predicting cryptocurrency returns. Specifically, we construct the deviation of Google searches for the word “Bitcoin” in a given week compared with the average of those in the preceding four weeks. We standardize the Google search measure to have a mean of zero and a standard deviation of one. We use Google searches for the word “Bitcoin” to proxy for investor attention of the cryptocurrency market because Bitcoin is by far the largest and most visible cryptocurrency available. In panel A of Table 8 , we report the results of regressing cumulative future coin market returns from one-week to eight-week horizons on the Google search measure. The Google search measure statistically significantly predicts the one-week to six-week ahead cumulative coin market returns at the 5% level. The coefficient estimates of the seven-week and eight-week horizons are positive but are no longer statistically significant. A one-standard-deviation increase in searches leads to increases in weekly returns of about 3% for the one-week ahead cumulative coin market returns and about 5% for the two-week-ahead cumulative coin market returns. 11 In the Internet Appendix , we also report results based on noncumulative returns. The current coin market returns positively and significantly predict one-week- to four-week-ahead returns. The current coin market returns positively but insignificantly predict five-week-ahead returns. The current coin market returns negatively but insignificantly predict six-, seven-, and eight-week-ahead returns.

Google searches

Panel A. Regression results
Weekly|$R_{t,t+1}$||$R_{t,t+2}$||$R_{t,t+3}$||$R_{t,t+4}$||$R_{t,t+6}$||$R_{t,t+8}$| 
 (1)(2)(3)(4)(5)(6) 
|$Google_{t}$|0.03 0.05 0.07 0.10 0.09 0.07 
 (3.92)(4.33)(4.23)(3.99)(1.98)(1.30) 
|$R^{2}$|0.030.040.030.020.010.00 
Panel B. Sorting results
Google searches by groups (weekly, percentage)
RankGoogle|$R_{t,t+1}$| -stat|$R_{t,t+2}$| -stat|$R_{t,t+4}$| -stat
Low-0.450.43(0.42)0.02(0.01)0.10(0.04)
Middle-0.022.55(2.03)6.79(2.73)19.77(3.11)
High0.486.53(3.82)13.95(4.89)32.05(5.47)
Diff 6.09 13.93 31.95 
Google searches by groups—No lookahead (weekly, percentage)
RankGoogle|$R_{t,t+1}$| -stat|$R_{t,t+2}$| -stat|$R_{t,t+4}$| -stat
Low-0.450.70(0.68)1.06(0.70)1.98(0.78)
Middle-0.011.15(1.12)2.13(1.35)4.90(1.89)
High0.596.12(3.56)13.75(4.58)32.65(5.20)
Diff 5.42 12.69 30.67 
Panel A. Regression results
Weekly|$R_{t,t+1}$||$R_{t,t+2}$||$R_{t,t+3}$||$R_{t,t+4}$||$R_{t,t+6}$||$R_{t,t+8}$| 
 (1)(2)(3)(4)(5)(6) 
|$Google_{t}$|0.03 0.05 0.07 0.10 0.09 0.07 
 (3.92)(4.33)(4.23)(3.99)(1.98)(1.30) 
|$R^{2}$|0.030.040.030.020.010.00 
Panel B. Sorting results
Google searches by groups (weekly, percentage)
RankGoogle|$R_{t,t+1}$| -stat|$R_{t,t+2}$| -stat|$R_{t,t+4}$| -stat
Low-0.450.43(0.42)0.02(0.01)0.10(0.04)
Middle-0.022.55(2.03)6.79(2.73)19.77(3.11)
High0.486.53(3.82)13.95(4.89)32.05(5.47)
Diff 6.09 13.93 31.95 
Google searches by groups—No lookahead (weekly, percentage)
RankGoogle|$R_{t,t+1}$| -stat|$R_{t,t+2}$| -stat|$R_{t,t+4}$| -stat
Low-0.450.70(0.68)1.06(0.70)1.98(0.78)
Middle-0.011.15(1.12)2.13(1.35)4.90(1.89)
High0.596.12(3.56)13.75(4.58)32.65(5.20)
Diff 5.42 12.69 30.67 

This table reports the time-series Google search results. Panel A shows the regression results, and panel B shows the results based on grouping weekly coin market returns into terciles. The first part of panel B reports results for the whole sample. The second part of panel B uses the first two years of data to determine the tercile cutoffs and examine the out-of-sample time-series performance. The Google search measure is constructed as the Google search data for the word “Bitcoin” minus its average of the previous four weeks, and then normalized to have a mean of zero and a standard deviation of one. The t -statistics are reported in parentheses and are Newey-West adjusted with |$n-1$| lags. *, **, and *** denote significance levels at the 10%, 5%, and 1% levels. The data frequency is weekly.

In the first part of panel B in Table 8 , we investigate the return predictability of the Google search measures by grouping them into terciles and evaluating their performance going forward. Consistent with the regression results, we find that the top tercile outperforms the bottom tercile in terms of cumulative coin market returns at the one- to four-week-ahead horizons. For example, at the one-week horizon, the average return of the top tercile is 6.53% per week with a t -statistic of 3.82, while the average return of the bottom tercile is 0.43% per week with a t -statistic of 0.42. The difference between the top and bottom terciles is 6.09% at the one-week horizon. At the two-week horizon, the average of the cumulative coin market returns of the top tercile is 13.95% with a t -statistic of 4.89, and that of the bottom tercile is only 0.02% with a t -statistic of 0.01. The difference between the top and bottom terciles is 13.93%. In the additional results section, we restrict our sample to 2014 onward and find similar return predictive power of the Google search measures.

In the second part of panel B in Table 8 , we use the first two years of data to determine the tercile cutoffs and study the out-of-sample effect of investor attention, and we find a strong positive investor attention effect as well. For example, at the one-week horizon, the average return of the top tercile is 6.12%, and that of the bottom tercile is 0.70%. The difference between the top and the bottom terciles is 5.42%, which is economically large and slightly smaller than the in-sample estimate of 6.09%.

2.3.3 Negative investor attention

We have shown that unconditionally investor attention positively predicts cryptocurrency returns. However, not all investor attention is positive. For example, in their model, Sockin and Xiong (2019) differentiate positive investor attention and negative investor attention, and show that negative investor attention is followed by cryptocurrency price depreciation in the future.

In this section, we investigate whether negative investor attention predicts cryptocurrency returns. We construct a ratio between Google searches for the phrase “Bitcoin hack” and searches for the word “Bitcoin” to proxy for negative investor attention. We standardize the measure to have a mean of zero and a standard deviation of one. Panel A of Table 9 shows the results of the predictive regressions. The ratio negatively and significantly predicts one- to six-week-ahead cumulative coin market returns. For example, a one-standard-deviation increase in the ratio leads to a 2% decrease of coin market returns in the next week. Panel B of Table 9 reports the in-sample and out-of-sample return predictability of the negative investor attention measures by grouping them into terciles and evaluating their performance going forward. Consistent with the regression results, we find strong negative return predictability results of the negative investor attention measures.

Bitcoin hack

Panel A. Regression results
Weekly|$R_{t,t+1}$||$R_{t,t+2}$||$R_{t,t+3}$||$R_{t,t+4}$||$R_{t,t+6}$||$R_{t,t+8}$| 
 (1)(2)(3)(4)(5)(6) 
|$Hack_{t}$|-0.02 -0.05 -0.08 -0.11 -0.20 -0.32 
 (-3.05)(-2.93)(-2.39)(-2.02)(-1.67)(-1.45) 
|$R^{2}$|0.020.030.030.030.040.03 
Panel B. Sorting results
Bitcoin hack by groups (weekly, percentage)
RankHack|$R_{t,t+1}$| -stat|$R_{t,t+2}$| -stat|$R_{t,t+4}$| -stat
Low-0.986.39(3.29)14.38(4.13)31.99(4.24)
Middle-0.072.89(2.71)4.69(2.61)14.08(3.45)
High1.270.60(0.80)2.88(2.74)7.72(3.45)
Diff -5.79 -11.50 -24.27 
Bitcoin hack by groups—No lookahead (weekly, percentage)
RankHack|$R_{t,t+1}$| -stat|$R_{t,t+2}$| -stat|$R_{t,t+4}$| -stat
Low-1.338.59(2.47)18.31(2.05)46.97(3.33)
Middle-0.685.06(2.93)10.72(3.74)21.20(3.59)
High0.710.99(1.55)2.19(2.05)7.62(3.85)
Diff -7.60 -16.12 -39.35 
Panel A. Regression results
Weekly|$R_{t,t+1}$||$R_{t,t+2}$||$R_{t,t+3}$||$R_{t,t+4}$||$R_{t,t+6}$||$R_{t,t+8}$| 
 (1)(2)(3)(4)(5)(6) 
|$Hack_{t}$|-0.02 -0.05 -0.08 -0.11 -0.20 -0.32 
 (-3.05)(-2.93)(-2.39)(-2.02)(-1.67)(-1.45) 
|$R^{2}$|0.020.030.030.030.040.03 
Panel B. Sorting results
Bitcoin hack by groups (weekly, percentage)
RankHack|$R_{t,t+1}$| -stat|$R_{t,t+2}$| -stat|$R_{t,t+4}$| -stat
Low-0.986.39(3.29)14.38(4.13)31.99(4.24)
Middle-0.072.89(2.71)4.69(2.61)14.08(3.45)
High1.270.60(0.80)2.88(2.74)7.72(3.45)
Diff -5.79 -11.50 -24.27 
Bitcoin hack by groups—No lookahead (weekly, percentage)
RankHack|$R_{t,t+1}$| -stat|$R_{t,t+2}$| -stat|$R_{t,t+4}$| -stat
Low-1.338.59(2.47)18.31(2.05)46.97(3.33)
Middle-0.685.06(2.93)10.72(3.74)21.20(3.59)
High0.710.99(1.55)2.19(2.05)7.62(3.85)
Diff -7.60 -16.12 -39.35 

This table reports the time-series Bitcoin hack results. Panel A reports the regression results, and panel B reports the sorting results. The Bitcoin hack measure is constructed as the ratio between Google searches for the phrase “Bitcoin hack” and searches for the word “Bitcoin,” and then normalized to have a mean of zero and a standard deviation of one. Results are based on weekly data. The t -statistics are reported in parentheses and are Newey-West adjusted with |$n-1$| lags. *, **, and *** denote significance levels at the 10%, 5%, and 1% levels. The data frequency is weekly.

Another way to see the results on the investor attention is that our measures of investor attentions proxy for speculative interest and sentiment in cryptocurrencies. Positive investor sentiment is followed by cryptocurrency price appreciation, and negative investor sentiment is followed by depreciation. We further investigate these issues in Section 4 .

2.3.4 Interaction between momentum and attention

We have shown that there are strong effects of time-series momentum and investor attention in the cryptocurrency market. The equity market research (e.g., Hong, Lim, and Stein 2000 ; Hou, Xiong, and Peng 2009 ) shows that there is a strong relationship between momentum and investor attention. It is possible that these two results capture the same underlying phenomenon. For example, Sockin and Xiong (2019) propose a potential channel to generate momentum. In their model, momentum arises because users have incorrect expectations about future prices—a mechanism similar to De Long et al. (1990) . Their model suggests that cryptocurrency momentum and investor attention could potentially arise from the same underlying mechanism. The cryptocurrency momentum and investor attention results could also interact with each other. For example, the cryptocurrency time-series momentum effect may be weaker at times of high investor attention, because there is little information leakage at times of high investor attention.

First, we show that the current investor attention of cryptocurrencies is indeed associated with current and past coin market performance. We regress the current deviation in the Google searches on the contemporaneous and the coin market returns of the previous four weeks. Table 10 documents the results. We find that the deviations in Google searches are positively and significantly associated with contemporaneous and the previous week’s coin market returns. The Google search measures do not significantly correlate with past coin market returns beyond one week. Intuitively, these results suggest that investor attention is elevated after superior cryptocurrency market performance.

Google searches and past returns

Regression results
Weekly|$Google_{t}$||$Google_{t}$||$Google_{t}$||$Google_{t}$||$Google_{t}$|
 (1)(2)(3)(4)(5)
|$R_{t}$|0.01 0.01 0.01 0.01 0.01
 (2.80)(2.21)(2.14)(2.27)(2.25)
 [2.77][2.14][1.96][1.96][2.25]
|$R_{t-1}$| 0.01 0.01 0.01 0.01
  (2.78)(2.71)(2.85)(2.93)
  [2.47][2.34][2.34][2.42]
|$R_{t-2}$|  0.000.000.00
   (0.14)(0.27)(0.40)
   [0.09][0.09][0.18]
|$R_{t-3}$|   -0.00-0.00
    (-1.01)(-0.90)
    [-1.04][-0.94]
|$R_{t-4}$|    -0.00
     (-0.75)
     [-0.94]
|$R^{2}$|0.020.040.040.040.04
Regression results
Weekly|$Google_{t}$||$Google_{t}$||$Google_{t}$||$Google_{t}$||$Google_{t}$|
 (1)(2)(3)(4)(5)
|$R_{t}$|0.01 0.01 0.01 0.01 0.01
 (2.80)(2.21)(2.14)(2.27)(2.25)
 [2.77][2.14][1.96][1.96][2.25]
|$R_{t-1}$| 0.01 0.01 0.01 0.01
  (2.78)(2.71)(2.85)(2.93)
  [2.47][2.34][2.34][2.42]
|$R_{t-2}$|  0.000.000.00
   (0.14)(0.27)(0.40)
   [0.09][0.09][0.18]
|$R_{t-3}$|   -0.00-0.00
    (-1.01)(-0.90)
    [-1.04][-0.94]
|$R_{t-4}$|    -0.00
     (-0.75)
     [-0.94]
|$R^{2}$|0.020.040.040.040.04

This table reports the relationships between the Google search measure and past coin market returns. The Google search measure is constructed as the Google search data for the word “Bitcoin” minus its average of the previous four weeks, and then normalized to have a mean of zero and a standard deviation of one. The standard t -statistic is reported in parentheses, and the bootstrapped t -statistic is reported in brackets. *, **, and *** denote significance levels at the 10%, 5%, and 1% levels based on the standard t -statistics. The data frequency is weekly.

We further test the interaction between the time-series momentum and the investor attention phenomena. The results are reported in Table 11 . In the first test of Table 11 , we regress cumulative future coin market returns on current coin market returns and Google search measures. We find that the coefficients to the current coin market returns are significant for all the horizons, and the coefficients to the Google search measures are significant from the one-week to the five-week horizons. The magnitudes of the coefficients are similar to the standalone estimates. For example, the one-week-ahead coefficients under the univariate regressions are 0.20 and 0.03 for the current coin market returns and the Google search measures, respectively, while they are 0.18 and 0.03 under the bivariate regressions. These results show that the time-series momentum and the investor attention results do not subsume each other.

Interaction between momentum and attention

Weekly|$R_{t,t+1}$||$R_{t,t+2}$||$R_{t,t+3}$||$R_{t,t+4}$||$R_{t,t+6}$||$R_{t,t+8}$|
 (1)(2)(3)(4)(5)(6)
|$R_{t}$|0.18 0.45 0.74 0.99 1.49 1.58
 (2.28)(2.48)(2.74)(2.41)(1.82)(1.67)
|$Google_{t}$|0.03 0.05 0.06 0.08 0.070.05
 (3.48)(3.46)(3.28)(3.28)(1.46)(0.88)
|$R^{2}$|0.070.110.110.090.060.02
|$R_{t}$|0.20 0.55 0.88 1.16 2.332.84
 (2.01)(1.81)(1.88)(1.65)(1.52)(1.44)
|$1_{\{Google>0\}}$|0.05 0.10 0.14 0.20 0.220.13
 (2.67)(2.90)(2.54)(2.34)(1.31)(0.50)
|$R_{t}\times1_{\{Google>0\}}$|-0.04-0.20-0.27-0.36-1.68-2.43
 (-0.29)(-0.56)(-0.51)(-0.49)(-1.14)(-1.24)
|$R^{2}$|0.060.100.110.100.070.03
|$Google_{t}$|0.04 0.08 0.09 0.08 0.090.15
 (3.34)(4.25)(4.12)(2.29)(1.33)(1.60)
|$1_{\{R>0\}}$|0.04 0.07 0.14 0.19 0.24 0.18
 (2.72)(2.42)(2.97)(2.77)(2.06)(1.10)
|$Google_{t}\times1_{\{R>0\}}$|-0.01-0.03-0.030.01-0.00-0.10
 (-0.77)(-1.35)(-1.31)(0.35)(-0.03)(-1.20)
|$R^{2}$|0.050.060.050.050.020.00
Weekly|$R_{t,t+1}$||$R_{t,t+2}$||$R_{t,t+3}$||$R_{t,t+4}$||$R_{t,t+6}$||$R_{t,t+8}$|
 (1)(2)(3)(4)(5)(6)
|$R_{t}$|0.18 0.45 0.74 0.99 1.49 1.58
 (2.28)(2.48)(2.74)(2.41)(1.82)(1.67)
|$Google_{t}$|0.03 0.05 0.06 0.08 0.070.05
 (3.48)(3.46)(3.28)(3.28)(1.46)(0.88)
|$R^{2}$|0.070.110.110.090.060.02
|$R_{t}$|0.20 0.55 0.88 1.16 2.332.84
 (2.01)(1.81)(1.88)(1.65)(1.52)(1.44)
|$1_{\{Google>0\}}$|0.05 0.10 0.14 0.20 0.220.13
 (2.67)(2.90)(2.54)(2.34)(1.31)(0.50)
|$R_{t}\times1_{\{Google>0\}}$|-0.04-0.20-0.27-0.36-1.68-2.43
 (-0.29)(-0.56)(-0.51)(-0.49)(-1.14)(-1.24)
|$R^{2}$|0.060.100.110.100.070.03
|$Google_{t}$|0.04 0.08 0.09 0.08 0.090.15
 (3.34)(4.25)(4.12)(2.29)(1.33)(1.60)
|$1_{\{R>0\}}$|0.04 0.07 0.14 0.19 0.24 0.18
 (2.72)(2.42)(2.97)(2.77)(2.06)(1.10)
|$Google_{t}\times1_{\{R>0\}}$|-0.01-0.03-0.030.01-0.00-0.10
 (-0.77)(-1.35)(-1.31)(0.35)(-0.03)(-1.20)
|$R^{2}$|0.050.060.050.050.020.00

This table reports the predictive regressions of future cumulative coin market returns on momentum, attention, and the interaction of the two. The indicator variable |$1_{\{Google>0\}}$| equals one if the current Google search measure is above the sample mean and zero otherwise. The indicator variable |$1_{\{R>0\}}$| equals one if the current coin market return is positive and zero otherwise. Results are based on weekly returns. The Newey-West adjusted t -statistics with |$n-1$| lags are reported in parentheses. *, **, and *** denote significance levels at the 10%, 5%, and 1% levels. The data frequency is weekly.

In the second test of Table 11 , we test the performance of the time-series momentum result when investor attention is high. We construct an indicator variable, |$1_{\{Google>0\}}$|⁠ , that equals one if the current Google search measure is above the sample mean and zero otherwise. We regress the cumulative future coin market returns from one-week to eight-week horizons to the current coin market return, the indicator variable, and the interaction term. The interaction term is not significant at any of the eight horizons, suggesting that the magnitude of the time-series momentum effect is similar for high and low investor attention periods. In the third test of Table 11 , we test the performance of the investor attention result when the current coin market return is high. We construct an indicator variable, |$1_{\{R>0\}}$|⁠ , that equals one if the current coin market return is positive and zero otherwise. We regress the cumulative future coin market returns from one-week to eight-week horizons to current Google search measure, the indicator variable, and the interaction term. The interaction term is not significant at any of the eight horizons, suggesting that the magnitude of the investor attention effect is similar for high and low coin market return periods.

Furthermore, we study the cross-section of time-series momentum for high- and low-attention coins. We collect Google attention data for the 10 largest cryptocurrencies from the beginning of 2014 to the end of 2018. The sample period is shorter for this analysis, because before 2014, there are very few cryptocurrencies and the data for alternative coins are hard to get. The list of coins is Bitcoin, Ethereum, Ripple, Litecoin, Tether, Bitcoin-Cash, Tezos, Binance-coin, Monero, and Cardano. At a given point in time, we group the existing coins into two subsamples based on the Google attention data—a group of high-attention coins and a group of low-attention coins. We construct the value-weighted returns of the high-attention group and the low-attention group, separately, and test the time-series momentum strategy effect in each subgroup.

We regress the future cumulative returns on current returns for each of the subsamples and report the results in the Internet Appendix . We find that in this sample, the time-series momentum effect is stronger for the relatively low-attention coins. In particular, the coefficient estimates for both the high-attention and the low-attention subgroups are positive, suggesting that there are time-series momentum effects for both groups. However, the coefficient estimates for the high-attention subgroup is not statistically significant, while the coefficient estimates for the low-attention subgroup is statistically significant up to six weeks out. The magnitudes of the coefficient estimates are also much larger for the low-attention subgroup relative to the high-attention subgroup. The results are consistent with the “underreaction” mechanism of momentum.

2.3.5 Cryptocurrency valuation ratio

Additionally, we test whether the cryptocurrency valuation ratios similar to those in the financial markets can predict future coin market returns. In the equity market, the fundamental-to-market ratios are commonly referred to as valuation ratios and are measured as the ratio of the book value to the market value of equity or some other fundamental value to market value (e.g., dividend-to-price; earnings-to-price). Another value measure used in the literature that has been shown to correlate highly with fundamental-to-market value is the negative of the long-term cumulative past returns (e.g., De Bondt and Thaler 1985 , 1987 ; Fama and French 1996 ; and Moskowitz 2015 ). It is more difficult to define a similar measure of fundamental value for cryptocurrency. However, in their dynamic cryptocurrency asset pricing model, Cong, Li, and Wang (2019) argue that the cryptocurrency fundamental-to-value ratio can be defined as the number of user adoptions over market capitalization, which negatively predicts future cryptocurrency returns.

The market value of cryptocurrency is readily available. However, there is no direct measure of fundamental value for the cryptocurrencies. In its essence, value is a measure of the gap between the market value and the fundamental value of an asset. Because of the lack of a standard “book” value measure of the cryptocurrency market, we use an array of different proxies to capture the idea of fundamental value. We proxy the fundamental-to-market ratio by a number of value measures motivated by the finance literature. The first one is the long-term past performance measure: the negative of the past 100-week cumulative coin market return. The other four measures aim to proxy the cryptocurrency fundamental-to-market value directly: the user-to-market ratio, the address-to-market ratio, the transaction-to-market ratio, and the payment-to-market ratio. The idea of these four measures is to use some measures of the “book” value of the underlying cryptocurrency market and scale by the current market capitalization. The user base of the cryptocurrency market seems to capture the concept of “book” value in the financial markets. This is consistent with the theoretical literature of the cryptocurrency market that emphasizes the notion of the network effect, which can be proxied by the current user base of the cryptocurrencies. On the other hand, the market value of the cryptocurrency provides a market assessment of the current value of the complete cryptocurrency infrastructure. Therefore, the user base-to-market value measure can capture the notion of fundamental-to-market ratio in the financial markets. In panel A of Table 12 , we report the correlations across the different valuation ratios in the cryptocurrency market. The five primary measures are highly correlated with one another, with correlations ranging from 0.73 to 0.91. The first principal component measure for the five fundamental-to-market ratios has correlations of 0.91, 0.91, 0.96, 0.93, and 0.93 with the long-term past returns, the wallet user-to-market ratio, the active address-to-market ratio, the transaction-to-market ratio, and the payment-to-market ratio, respectively.

Cryptocurrency valuation ratio

Panel A. Correlation of fundamental-to-market ratios
 Past100UserAddTransPay 
Past1001.000.900.810.740.78 
User/MCAP 1.000.850.730.74 
Add/MCAP  1.000.910.89 
Trans/MCAP   1.000.90 
Pay/MCAP    1.00 
PC0.910.910.960.930.93 
Panel B. Predictive regressions
 |$R_{t,t+1}$||$R_{t,t+2}$||$R_{t,t+3}$||$R_{t,t+4}$||$R_{t,t+6}$||$R_{t,t+8}$|
 (1)(2)(3)(4)(5)(6)
Past100-0.00-0.00-0.00-0.010.000.01
 (-0.05)(-0.17)(-0.17)(-0.15)(0.01)(0.16)
|$R^{2}$|0.000.000.000.000.000.00
User/MCAP-0.01-0.01-0.01-0.02-0.02-0.00
 (-0.71)(-0.68)(-0.59)(-0.49)(-0.31)(-0.06)
|$R^{2}$|0.000.000.000.000.000.00
Add/MCAP-0.01-0.02-0.03-0.05-0.10-0.13
 (-1.01)(-1.12)(-1.21)(-1.23)(-1.12)(-0.96)
|$R^{2}$|0.000.000.010.010.010.01
Trans/MCAP-0.01-0.02-0.03-0.05-0.07-0.09
 (-0.78)(-0.88)(-0.91)(-0.87)(-0.65)(-0.50)
|$R^{2}$|0.000.000.010.010.010.01
Pay/MCAP-0.01-0.03-0.05-0.08-0.13-0.19
 (-1.39)(-1.59)(-1.51)(-1.42)(-1.19)(-1.01)
|$R^{2}$|0.010.010.020.020.020.02
PC0.000.000.010.010.020.03
 (0.81)(0.59)(0.49)(0.45)(0.62)(0.79)
|$R^{2}$|0.000.000.000.000.000.01
Panel A. Correlation of fundamental-to-market ratios
 Past100UserAddTransPay 
Past1001.000.900.810.740.78 
User/MCAP 1.000.850.730.74 
Add/MCAP  1.000.910.89 
Trans/MCAP   1.000.90 
Pay/MCAP    1.00 
PC0.910.910.960.930.93 
Panel B. Predictive regressions
 |$R_{t,t+1}$||$R_{t,t+2}$||$R_{t,t+3}$||$R_{t,t+4}$||$R_{t,t+6}$||$R_{t,t+8}$|
 (1)(2)(3)(4)(5)(6)
Past100-0.00-0.00-0.00-0.010.000.01
 (-0.05)(-0.17)(-0.17)(-0.15)(0.01)(0.16)
|$R^{2}$|0.000.000.000.000.000.00
User/MCAP-0.01-0.01-0.01-0.02-0.02-0.00
 (-0.71)(-0.68)(-0.59)(-0.49)(-0.31)(-0.06)
|$R^{2}$|0.000.000.000.000.000.00
Add/MCAP-0.01-0.02-0.03-0.05-0.10-0.13
 (-1.01)(-1.12)(-1.21)(-1.23)(-1.12)(-0.96)
|$R^{2}$|0.000.000.010.010.010.01
Trans/MCAP-0.01-0.02-0.03-0.05-0.07-0.09
 (-0.78)(-0.88)(-0.91)(-0.87)(-0.65)(-0.50)
|$R^{2}$|0.000.000.010.010.010.01
Pay/MCAP-0.01-0.03-0.05-0.08-0.13-0.19
 (-1.39)(-1.59)(-1.51)(-1.42)(-1.19)(-1.01)
|$R^{2}$|0.010.010.020.020.020.02
PC0.000.000.010.010.020.03
 (0.81)(0.59)(0.49)(0.45)(0.62)(0.79)
|$R^{2}$|0.000.000.000.000.000.01

This table reports the predictive regressions of coin market returns on proxies for cryptocurrency market fundamental-to-market ratio. The proxies for cryptocurrency valuation ratio include the (negative) past 100-week cumulative coin market returns, the user-to-market ratio, the address-to-market ratio, the transaction-to-market ratio, payment-to-market ratio, and the first principal component of the previous five proxies. The ratios are estimated using the cointegration method. Results are based on weekly returns. The Newey-West adjusted t -statistics with |$n-1$| lags are reported in parentheses. *, **, and *** denote significance levels at the 10%, 5%, and 1% levels. The data frequency is weekly.

We regress the coin market returns on the lagged cryptocurrency fundamental-to-market ratios, and the results are reported in panel B of Table 12 . We document the regression results from one-week to eight-week horizons. Although the coefficient estimates are consistently negative, none of the five standalone fundamental-to-market ratios predict future coin market returns significantly over any horizon. The principal component measure also fails to predict future coin market returns over these horizons. Overall, there is a very weak relationship between the future coin market returns and the current cryptocurrency fundamental-to-value ratio.

Both the cryptocurrency literature and the community have debated the nature of cryptocurrencies. For example, Schilling and Uhlig (2019) show that, in an endowment economy with both fiat money and cryptocurrency, the evolution of cryptocurrency prices is linked to that of the fiat money. Athey et al. (2016) emphasize the importance of fiat money risks of cryptocurrencies. The cryptocurrency community has proposed that cryptocurrencies are “digital gold” and serve the purpose of the traditional precious metal commodity. Moreover, Schilling and Uhlig (2019) argue that cryptocurrency returns can have exposure to macroeconomic risks such as monetary policies. In this section, we evaluate these claims by examining the relationship between cryptocurrency returns and traditional asset returns such as currency, commodity, and equity.

3.1 Currency and commodity factor loadings

In an endowment economy where fiat money and cryptocurrency coexist and compete with each other, Schilling and Uhlig (2019) show that the evolution of cryptocurrency prices is correlated with the that of the fiat money prices. Athey et al. (2016) also emphasize the importance of fiat money risks of cryptocurrencies. We test this prediction by investigating the cryptocurrency exposures to traditional currencies. Columns (1) to (6) of Table 13 show the coin market returns’ exposures to the traditional currency returns. For currency returns, we consider five major currencies: Australian dollar, Canadian dollar, euro, Singaporean dollar, and U.K. pound. The exposures of the coin market returns to these major currencies are not statistically significant, and the alpha estimates barely change. We further test cryptocurrency exposures on currency factors as in Lustig, Roussanov, and Verdelhan (2011) instead of individual major currency returns. 12 Columns (7) to (9) of Table 13 report the coin market returns’ exposures to these currency factors. Consistent with the results on individual currency returns, we find that the coin market returns do not have significant exposures to the currency factors. We conclude that there is no consistent evidence of systematic currency exposures in cryptocurrencies.

Currency loadings of coin market returns

CMKT(1)(2)(3)(4)(5)(6)
ALPHA21.01 21.33 20.98 20.73 21.23 21.09
 (2.88)(2.90)(2.91)(2.87)(2.94)(2.80)
 [2.56][2.53][2.43][2.53][2.46][2.45]
AUSTRALIA1.69    -1.24
 (0.72)    (-0.28)
 [0.54]    [-0.32]
CANADA 2.95   0.42
  (0.71)   (0.09)
  [0.95]   [0.12]
EURO  3.73  1.65
   (1.24)  (0.36)
   [1.21]  [0.47]
SINGAPORE   4.45 2.38
    (1.04) (0.27)
    [0.95] [0.35]
UK    4.212.90
     (1.40)(0.72)
     [1.13][0.55]
|$R^{2}$|0.010.010.020.010.020.02
CMKT (7) (8) (9)
ALPHA 23.16  21.28  22.14
  (3.02) (2.71) (2.79)
  [3.15] [2.67] [2.87]
DOLLAR 4.35   3.92
  (1.00)   (0.88)
  [0.78]   [0.68]
CARRY   3.17 2.47
    (0.72) (0.55)
    [1.39] [1.02]
|$R^{2}$| 0.01 0.01 0.01
CMKT(1)(2)(3)(4)(5)(6)
ALPHA21.01 21.33 20.98 20.73 21.23 21.09
 (2.88)(2.90)(2.91)(2.87)(2.94)(2.80)
 [2.56][2.53][2.43][2.53][2.46][2.45]
AUSTRALIA1.69    -1.24
 (0.72)    (-0.28)
 [0.54]    [-0.32]
CANADA 2.95   0.42
  (0.71)   (0.09)
  [0.95]   [0.12]
EURO  3.73  1.65
   (1.24)  (0.36)
   [1.21]  [0.47]
SINGAPORE   4.45 2.38
    (1.04) (0.27)
    [0.95] [0.35]
UK    4.212.90
     (1.40)(0.72)
     [1.13][0.55]
|$R^{2}$|0.010.010.020.010.020.02
CMKT (7) (8) (9)
ALPHA 23.16  21.28  22.14
  (3.02) (2.71) (2.79)
  [3.15] [2.67] [2.87]
DOLLAR 4.35   3.92
  (1.00)   (0.88)
  [0.78]   [0.68]
CARRY   3.17 2.47
    (0.72) (0.55)
    [1.39] [1.02]
|$R^{2}$| 0.01 0.01 0.01

This table reports the factor loadings of the coin market returns on returns of different currencies and currency factors. The currencies include Australian dollar, Canadian dollar, euro, Singapore dollar, and U.K. pound. The currency factors are based on Lustig, Roussanov, and Verdelhan (2011) . The returns are in percentage. The results are based on monthly returns. The standard t -statistic is reported in parentheses, and the bootstrapped t -statistic is reproted in brackets. *, **, and *** denote significance levels at the 10%, 5%, and 1% levels based on the standard t -statistics. The data frequency is monthly.

Another popular narrative around cryptocurrencies is that cryptocurrencies serve the same purpose as traditional precious metal commodities. That is, cryptocurrencies are “digital gold.” If the investors of cryptocurrencies hold this belief, we would expect to find that the returns of cryptocurrencies comove with the returns of the traditional precious metal commodities. We test the precious metal commodity exposures of the coin market returns and report the results in Table 14 . For precious metal commodities, we consider gold, platinum, and silver. The exposures of the coin market return to these three major commodities are not statistically significant. Overall, we conclude that there is no consistent evidence of systematic precious metal commodity exposures in cryptocurrencies.

Commodity loadings of coin market returns

CMKT(1)(2)(3)(4)
ALPHA20.40 19.83 20.52 20.24
 (2.81)(2.69)(2.83)(2.70)
 [2.37][4.31][2.55][4.62]
GOLD-0.53  -2.55
 (-0.35)  (-0.91)
 [-0.26]  [-1.06]
PLATINUM -0.02 -0.14
  (-0.02) (-0.07)
  [-0.02] [-0.07]
SILVER  0.341.54
   (0.41)(1.10)
   [0.25][0.59]
|$R^{2}$|0.000.000.000.01
CMKT(1)(2)(3)(4)
ALPHA20.40 19.83 20.52 20.24
 (2.81)(2.69)(2.83)(2.70)
 [2.37][4.31][2.55][4.62]
GOLD-0.53  -2.55
 (-0.35)  (-0.91)
 [-0.26]  [-1.06]
PLATINUM -0.02 -0.14
  (-0.02) (-0.07)
  [-0.02] [-0.07]
SILVER  0.341.54
   (0.41)(1.10)
   [0.25][0.59]
|$R^{2}$|0.000.000.000.01

This table reports the factor loadings of the coin market returns on returns of different precious metal commodities. The commodities include gold, platinum, and silver. Returns are in percentage. The standard t -statistic is reported in parentheses and the bootstrapped t -statistic is reproted in brackets. *, **, and *** denote significance levels at the 10%, 5%, and 1% levels based on the standard t -statistics. The data frequency is monthly.

3.2 Equity factor loadings

We document the common stock factor exposures of the coin market returns in the Internet Appendix . For the equity risk factors, we choose the Capital Asset Pricing Model (CAPM), Fama-French three-factor, Carhart four-factor, Fama-French five-factor, and Fama-French six-factor models. 13 The alphas for all of the considered models are statistically significant. The average return of the period is 20.44% per month. The CAPM-adjusted alpha decreases to 17.53% per month—a reduction of about 14%. The CAPM beta is large at 3.15 but not statistically significant. The betas are statistically significant at the 10% level only for the five-factor and six-factor models. The corresponding alphas are 15.32% and 15.00% per month for the five-factor model and six-factor model, respectively. The exposures to the other factors are not statistically significant. The exposures to the SMB (small-minus-big) factor are negative but not stable across the specifications: the magnitude of the coefficient decreases when five-factor and six-factor models are considered. The exposures to the HML (high-minus-low) factor are negative and have consistent magnitudes and signs; this suggests that the coin market returns may comove more with growth rather than with value firms. The exposures to the RMW (robust-minus-weak) factor are positive and are estimated slightly more accurately than other statistically not significant factors; this suggests that the coin market returns comove more with high-profit rather than low-profit firms. The point estimates on the MOM (momentum) and CMA (conservative-minus-aggressive) factors are very inaccurate. 14

3.2.1 Exploring the factor zoo

The finance literature has documented more than a hundred factors for predicting the cross-section of stock returns (see e.g., summarizes in Feng, Giglio, and Xiu 2017 and Chen and Velikov 2017 ). To investigate whether any of those factors may be important in pricing cryptocurrencies, we estimate the loadings of the 155 common factors from Andrew Chen’s website. One caveat is that this data set ends at the end of 2016 and thus does not cover the most recent return experiences. We report the results in the Internet Appendix due to the large number of factors. We find that only four out of the 155 factors are significant, but those four factors do not form any discernible patterns.

3.3 Macroeconomic factors

We further examine the macroeconomic factor exposures of the coin market returns. For macroeconomic factors, we consider the nondurable consumption growth, durable consumption growth, industrial production growth, and personal income growth. We document the results in the Internet Appendix . We find that the coin market returns do not significantly load on these macroeconomic factors. We further investigate the three major cryptocurrencies individually. For Bitcoin and Ripple, all of the exposures are not statistically significant. For Ethereum, notably, the durable consumption growth factor has a significant loading.

4.1 Short sample

We have eight years of coin market return data spanning from the beginning of 2011 to the end of 2018. The short sample is a potential barrier to study cryptocurrency that we cannot avoid. Moreover, there is a great deal of uncertainty and learning about cryptocurrencies during the period. As argued by Pástor and Veronesi (2003) , it takes time for investors to fully learn and understand emerging technologies, which can lead to price bubbles.

One approach we take to partially address these concerns is to break the sample into two halves and check whether our results are stable for these subsamples. During the first half of the sample, there are considerably more uncertainty and learning about cryptocurrency as an asset class. We document these results in the Internet Appendix . We find that the directions of all of the results are the same for the first and second halves of the sample. The magnitudes of the results are also comparable between the two subsamples. There is potentially still a lot of uncertainty and learning about cryptocurrencies today, but the assumption we need for the subsample tests is relatively mild: the uncertainty has decreased from the first half of the sample to the second half of the sample. The analysis on the volatility of the coin market returns also supports this assumption. We find that the standard deviation of coin market returns decreased significantly from the first half to the second half of the sample period. The figure in the Internet Appendix shows a significant decrease in the volatility of the coin market returns over time.

4.2 Time-series momentum and cross-sectional momentum

We study the relationship between time-series momentum and cross-sectional momentum. It is difficult to directly compare the time-series momentum and cross-section momentum results. The time-series momentum is a phenomenon on the aggregate coin market returns, while the cross-sectional momentum results are neutral in terms of the aggregate performance of the coin market. We use two different methods to test the relationships between the time-series momentum and the cross-sectional momentum results. In the first method, we use coin market returns to predict the cross-sectional cryptocurrency momentum. This approach gives us a sense about whether the cross-sectional momentum effect is stronger when the time-series momentum is on a positive trajectory. We report the results in the Internet Appendix . The coin market returns do not significantly predict future cumulative cross-sectional momentum returns. This result suggests that the profitable periods of the cryptocurrency time-series momentum and cross-sectional momentum are different.

In the second method, we follow the approach similar to Moskowitz, Ooi, and Pedersen (2012) and construct a portfolio version of the time-series momentum. For our set of instruments, we use one of the following: largest three coins, largest five coins, and largest ten coins. For each instrument and month, we consider whether the excess return over the past three weeks is positive or negative and go long the instrument if positive and short if negative. We hold the position for one week, so there is no overlapping sample. The unadjusted excess returns are positive and significant at the 1% level for all three of the specifications. The economic magnitudes of the excess returns are large, ranging from 3.17% for the top three coins to 4.62% for the top ten coins. Controlling for the coin market returns, the economic magnitudes of the excess returns barely change. Controlling for the cryptocurrency cross-sectional momentum as constructed in Liu, Tsyvinski, and Wu (2019) , the magnitudes of the spreads decrease but remain highly statistically significant. It is not surprising that the magnitudes of the spreads decrease after controlling for the cross-sectional momentum because the excess returns of the strategy contain information about the cross-sectional momentum by construction. However, there is additional information coming from the construction similar to Moskowitz, Ooi, and Pedersen (2012) , which is evidenced by the fact that the magnitudes of the spreads remain positive and statistically significant after controlling for the cross-sectional momentum. Finally, we also test whether the strategies contain information above and beyond the cryptocurrency three-factor model in Liu, Tsyvinski, and Wu (2019) . After controlling for the three-factor model, the magnitudes of the spreads further decrease but still remain positive and significant at the 5% level for the top five and top ten coins and at the 10% level for the top three coins.

4.3 Regulations

A potentially important determinant of cryptocurrency valuation is regulations. To test whether cryptocurrency regulations are important determinants of cryptocurrency valuations, we follow the method of Auer and Claessens (2018) and Shanaev et al. (2019) and determine 120 regulative events. We further categorize these regulative events into positive and negative events based on Auer and Claessens (2018) . We document the list of regulative events and the results in the Internet Appendix . We find that the contemporaneous cryptocurrency returns are lower during the days of regulative events. However, we find that the cryptocurrency returns respond to negative regulative events but not to positive regulative events.

4.4 Speculative interest and sentiment

In this section, we test whether speculation and investor sentiment may be important drivers of cryptocurrency prices. We extract the speculative shares of cryptocurrency usage from Coindesk.com. We test whether the cryptocurrency returns strongly respond to the contemporaneous and expectations of future speculative share growth. We further control for the network growth rates as discussed earlier to examine whether the results of network effects are driven by variations in speculative interests. We document the results on speculative interests in the Internet Appendix . We find some evidence that the cryptocurrency returns positively load on the contemporaneous speculative share growth, but the coefficient estimates are not significant. In the bivariate regressions, we show that the loadings of the cryptocurrency returns to the contemporaneous network growth remain positive and statistically significant. Furthermore, we show that the coin market returns positively forecast future speculative share growth. The coefficients are significant at the three-month and eight-month horizons. These results show that current coin market returns also contain information about expectations of future speculative share growth.

To test the effect of sentiment, we construct a measure that is directly aimed to capture investor sentiment. 15 The measure of cryptocurrency sentiment is defined as the log ratio between the count of positive and the count of negative phrases of cryptocurrencies in Google searches. The positive and negative phrases are described in the corresponding table in the Internet Appendix . Therefore, when the measure is high, investor sentiment is more positive and vice versa. We test whether the sentiment measure predicts future cryptocurrency returns, and compare that to the measures of investor attention and momentum. We find that the sentiment measure positively and significantly predicts future cryptocurrency returns. However, this result is distinct from the investor attention and cryptocurrency momentum results. All three variables are statistically significant in predicting future cryptocurrency returns in the multivariate regressions.

4.5 Beauty contests

One potential theoretical explanation of high volatility in financial markets may be that they are represented by the Keynesian beauty contest model. In this section, we aim to test the role of beauty contests in the cryptocurrency markets. We need a time-varying measure of the degrees of disagreement among the cryptocurrency investors. Ideally, we would like to have the expectations of individual cryptocurrency investors. Practically, this is not feasible due to data limitation at this time. We take a different route and measure the dispersion of investor expectations using the ratio between cryptocurrency volume and return volatility. This choice is motivated by Biais and Bossaerts (1998) , who show theoretically that the volume-volatility ratio summarizes the degree of disagreement among the investors and discriminates between genuine disagreement and mere Bayesian learning with agreeing agents. We test empirically whether the coin market returns respond to the volume-volatility ratio contemporaneously and whether the volume-volatility ratio predicts future coin market returns. We summarize these results in the Internet Appendix . We find that the coin market return is higher when the current volume-volatility ratio is higher. This result is consistent with the idea that investors tend to bid the price up when there is a lot of disagreement in the cryptocurrency market. The flip side is that the volume-volatility ratio does not predict future cumulative coin market returns over any horizon.

4.6 VAR analysis

One concern about the network factor analysis is that the contemporaneous correlations between the network size/activity factors and coin market returns might be mechanical and not truly capture the value of network externalities. To address the concern, we conduct a bivariate VAR analysis with the coin market returns and different coin network growth measures. The results are documented in the Internet Appendix .

To differentiate the network effects from the potential mechanical effects, we examine how changes in the network factors affect valuations in the future—that is, what is the cumulative permanent return associated with a shock to network size/activity factors. The bottom-left graph of each panel shows the associated impulse response function. We find that a shock to the wallet user growth, active address growth, and transaction count growth factors positively predict the coin market returns in the future and that there is not any reversal effect. The effects tend to concentrate on the first couple of weeks. In particular, the wallet user growth and active address growth factors positively and statistically significantly predict coin market returns in the future. The payment count growth measure is the only exception, but the point estimate is not significant. In terms of the cumulative effect, the cumulative return responses to one standard deviation of network factor shock are about 4% based on the changes in wallet user growth, about 2% based on the active address growth, and about 0.45% based on the transaction count growth.

Moreover, there is a bidirectional relationship between the network factors and the cryptocurrency returns. Consistent with the results in Table 3 in the paper, the VAR shows that the coin market returns positively and significantly predict future network growth based on all four specifications. The top-right graph of each panel shows the associated impulse response function. In the bivariate VAR framework, the approach accounts for this bidirectional effect, that returns may affect trading decisions and therefore affect the network size. Additionally, the bivariate VAR again reveals a coin market momentum effect in all four specifications. The top-left graph of each panel shows the associated impulse response function. The VAR approach also helps account for the momentum effect in the cumulative effect of network size/activity factors on the valuation of cryptocurrencies. Overall, the VAR suggests some evidence that a positive shock to the network size/activity factors leads to a permanent increase in the valuations of the coin market in the future. In terms of the timing of the effects, the impulse response functions suggest that it can take a few weeks for the impulse responses to decay to zero.

4.7 Additional production factor test

When the electricity price increases, the return to mining should decrease. However, the reduction in the return to mining would force some miners to exit, which leads to a higher probability of any given miner receiving the reward plus fees and a reduction of the difficulty of the cryptographic puzzles. These two effects would endogenously restore the profitability of the mining. Therefore, the shocks to electricity prices or computing power do not necessarily affect the marginal cost of mining because a change in these costs would affect the profitability of miners, causing an adjustment in the number of miners and therefore an adjustment in the required computing effort to restore profitability (e.g., Easley, O’Hara, and Basu 2019 ).

To address this effect, we include another set of tests. We regress the coin market returns on the number of Bitcoins given as a block reward, controlling for the price of Bitcoins and the fees paid. The rationale of the test is the following: the price of Bitcoin is endogenous, the fees paid could be endogenous as they are driven by network usage, but the number of Bitcoins given as a block reward is exogenous and deterministically changes through time according to the Bitcoin protocol. Therefore, the exogenous variation, controlling for the price of Bitcoin and the fees, could be used to identify the effects of mining costs.

Column (1) of the table documents the baseline specification. The coefficient of interest is in the changes of the number of Bitcoins given as a block reward, or |$\Delta Gen\ Coin$|⁠ . We find that, although the coefficient estimate is positive, it is not statistically significant. Column (2) uses next-month changes of the number of Bitcoins given as a block reward to test any anticipation effect. The point estimate is again positive but not statistically significant. Column (3) includes both the current and next-month changes in the number of Bitcoins given as a block reward as the independent variables, and both coefficient estimates are not significant. Columns (4) to (6) repeat the exercises of columns (1) to (3) but include the first principal component of the production factor, and the results are similar. Columns (7) to (12) repeat the exercises but control for the level of fees instead of changes in fees. We find that the coefficient estimates of |$\Delta Gen\ Coin$| and |$\Delta Gen\ Coin_{+1}$| are not statistically significant, consistent with results in columns (1) to (6).

Easley, O’Hara, and Basu (2019) argue that fee is not the only endogenous variable in the mining process, and that the confirmation time is also endogenously determined as a function of miner competition. Therefore, we also control for the confirmation time in our analysis and examine the results. Columns (13) to (24) report the results controlling for the confirmation time. In particular, columns (13) to (18) control for the changes of confirmation time, and columns (19) to (24) control for the level of confirmation time. We find that the coefficient estimates of |$\Delta Gen\ Coin$| and |$\Delta Gen\ Coin_{+1}$| remain statistically insignificant. Overall, we do not find a significant effect of the exogenous variation in the number of Bitcoins given as a block reward, controlling for the price of Bitcoin and the fees, on the cryptocurrency valuations.

4.8 Subsample by cryptocurrency characteristics

In this section, we consider a number of cryptocurrency characteristics: (i) whether the cryptocurrency is based on Proof-of-Work (PoW) or Proof-of-Stake (PoS), (ii) whether the cryptocurrency is minable, (iii) whether the cryptocurrency is built on an Ethereum blockchain, (iv) whether the cryptocurrency is a stable coin, and (v) whether the cryptocurrency is a smart contract. Based on each characteristic, we form a value-weighted portfolio of all the underlying cryptocurrencies. In the untabulated results, we look at the loadings of returns for each subgroup on the network factors, production factors, currency factors, commodity factors, equity factors, and macroeconomic factors.

First, we examine the loadings on the network factors. We find that the returns for the subgroups generally load positively on the network factors. Based on the first principal component of the four primary measures, we show that the returns of all six subgroups load positively on the network factors. In particular, the returns of PoW, minable coins, Ethereum blockchain coins, and stable coins positively and statistically significantly expose to the first principal component. On the other hand, the returns of PoS and smart contract coins do not statistically significantly expose to the first principal component. Then, we turn to the loadings on the production factors. We find that the returns for most of the subgroups do not significantly load on the production factors. We conclude that the factor exposures of the subgroup returns are largely consistent with the aggregate coin market returns. Lastly, we turn to the loadings of the returns for subgroups on the currency, commodity, equity, and macroeconomic factors. In general, we find that the returns of the subgroups have low exposures to these factor models. We conclude that the factor exposures of the subgroup returns are largely consistent with the aggregate coin market returns.

We find that cryptocurrency returns strongly respond to cryptocurrency network factors, as suggested by the theoretical literature. However, our empirical results do not support the notion that the evolution of cryptocurrency prices is linked to cryptocurrency production factors. At the same time, the returns of cryptocurrency can be predicted by two factors specific to its markets: momentum and investor attention. In contrast to the equity market, we show that the momentum result and the investor attention result are distinct phenomena and that there is only limited interaction between them. Moreover, cryptocurrency returns have low exposures to traditional asset classes such as currencies, commodities, and stocks, and to macroeconomic factors.

Authors have furnished an Internet Appendix, which is available on the Oxford University Press Web site next to the link to the final published paper online.

We thank Andrew Atkeson, Nicola Borri, Eduardo Davila, Stefano Giglio, William Goetzmann, Andrew Karolyi, Ye Li, Stephen Roach, Robert Shiller, Michael Sockin, and Jessica Wachter for their comments. Colton Conley provided outstanding research assistance. Supplementary data can be found on The Review of Financial Studies web site.

1 See, e.g., Cong, Li, and Wang (2019) , Pagnotta and Buraschi (2018) , and Biais et al. (2018) .

2 See, e.g., Cong, He, and Li (2018) and Sockin and Xiong (2019) .

3 Some coins are not tracked by the website because the coins’ exchanges do not provide accessible APIs.

4 We thank William Goetzmann for kindly sharing the Twitter post count data with us.

5 One of the 156 anomalies does not exist during the sample period. The database ends at December 2016.

6 Because Bitcoin is by far the largest and well-known cryptocurrency available, we use Bitcoin network data. The tests in the paper use coin market returns; in the Internet Appendix , we show that our results are qualitatively similar using Bitcoin returns.

7 See Jasper Pickering and Fraser Moore, “How China Become a Haven for People Looking to Cash in on the Bitcoin Gold Rush,” Business Insider, December 12, 2017.

8 See Shanthi Rexaline, “The Companies Behind the Chips That Power Cryptocurrency Minning,” Benzinga, February 2, 2018.

9 The 3.30% weekly return is calculated by multiplying a one-standard-deviation increase of coin market returns (16.50%) and the coefficient estimate (0.20).

10 Stoffels (2017) documents that a cross-sectional momentum strategy based on 15 cryptocurrencies generates abnormal returns during the period between 2016 and 2017.

11 Wang and Vergne (2017) use the level of newspaper mentions of Bitcoin to proxy for the “buzz” of Bitcoin. They document that high “buzz” predicts low Bitcoin returns in the future. Mai et al. (2016) use the level of Twitter post counts to predict Bitcoin returns.

12 We thank Nicola Borri for providing us with the up-to-date currency factors.

13 The Fama-French three-factor model is based on Fama and French (1993) and Fama and French (1996) . The Carhart four-factor model is based on Carhart (1997) . The Fama-French five-factor model is based on Fama and French (2016) . The Fama-French six-factor model is based on Fama and French (2017) .

14 Stoffels (2017) and Gilbert and Loi (2018) examine cryptocurrency loadings on the CAPM and Fama-French three-factor models.

15 Chen et al. (2019) classify cryptocurrency-related positive and negative words of StockTwits and Reddit.

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Risks and Returns of Cryptocurrency

We establish that the risk-return tradeoff of cryptocurrencies (Bitcoin, Ripple, and Ethereum) is distinct from those of stocks, currencies, and precious metals. Cryptocurrencies have no exposure to most common stock market and macroeconomic factors. They also have no exposure to the returns of currencies and commodities. In contrast, we show that the cryptocurrency returns can be predicted by factors which are specific to cryptocurrency markets. Specifically, we determine that there is a strong time-series momentum effect and that proxies for investor attention strongly forecast cryptocurrency returns. Finally, we create an index of exposures to cryptocurrencies of 354 industries in the US and 137 industries in China.

We thank Andrew Atkeson, Nicola Borri, Eduardo Davila, Stefano Giglio, William Goetzmann, Stephen Roach, and Robert Shiller for their comments. The views expressed herein are those of the authors and do not necessarily reflect the views of the National Bureau of Economic Research.

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Yukun Liu & Aleh Tsyvinski & Itay Goldstein, 2021. " Risks and Returns of Cryptocurrency, " The Review of Financial Studies, vol 34(6), pages 2689-2727.

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Economic estimation of Bitcoin mining’s climate damages demonstrates closer resemblance to digital crude than digital gold

Scientific Reports volume  12 , Article number:  14512 ( 2022 ) Cite this article

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This paper provides economic estimates of the energy-related climate damages of mining Bitcoin (BTC), the dominant proof-of-work cryptocurrency. We provide three sustainability criteria for signaling when the climate damages may be unsustainable. BTC mining fails all three. We find that for 2016–2021: (i) per coin climate damages from BTC were increasing, rather than decreasing with industry maturation; (ii) during certain time periods, BTC climate damages exceed the price of each coin created; (iii) on average, each $1 in BTC market value created was responsible for $0.35 in global climate damages, which as a share of market value is in the range between beef production and crude oil burned as gasoline, and an order-of-magnitude higher than wind and solar power. Taken together, these results represent a set of sustainability red flags. While proponents have offered BTC as representing “digital gold,” from a climate damages perspective it operates more like “digital crude”.

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Introduction.

Given rapidly developing blockchain technology and the use of encryption and decentralized, permission-less public ledgers, today’s evolving internet has allowed the emergence of various digitally scarce goods 1 . This digital economy includes nonfungible assets like tokens for various digital media 2 , as well as fungible, divisible assets like the several thousand cryptocurrencies supported by hundreds of exchange platforms 3 . Select digitally scarce goods use production schemes with intensive energy use 4 , 5 . These include several prominent cryptocurrencies (e.g., Bitcoin, Ether), which to-date are based on highly energy-intensive, competitive tournament-style production schemes known as proof-of-work (POW) mining for providing the encrypted validation in decentralized public ledgers 6 , 7 .

POW-based cryptocurrencies are a slice of the larger set of blockchain technologies that have disruptively entered global marketplaces over the last decade or more 8 . The production of cryptocurrencies has been relatively decentralized and largely unregulated as they have first gained a foothold and then occupied a larger space 9 . Cryptocurrencies are priced and traded in markets, but often exhibit considerable volatility 10 , and financial anomalies like speculative bubbles 11 , or evidence of price manipulation 12 , 13 . Yet, various proponents argue that such innovations provide significant value or are especially needed in the developing world (e.g., from providing sustainable new financial goods or mediums of exchange to the underserved 14 , investment diversification 15 , or routes around government corruption 16 ). Others question the benefit of such disruptions, and especially so if the new technologies (e.g., POW-type technologies) have intensive energy use, with potentially large social costs from associated carbon emissions 17 , 18 . Potentially, there may be significant room for learning 19 and moving to alternative production pathways that use significantly less energy, while still providing the purported benefits 20 . However, achieving net reductions in energy use is inherently challenging, due to redundancies (e.g., number of nodes involved, or the workload of operations) in all types of blockchain technology 21 . Against this backdrop and within broader efforts to mitigate climate change, the policy challenge is creating governance mechanisms for an emergent, decentralized industry, which includes energy-intensive POW cryptocurrencies 22 , 23 . Such efforts would be aided by measurable, empirical signals concerning potentially unsustainable climate damages.

Taking Bitcoin (BTC) as our focus, this analysis estimates climate damages of mining coins and explores several criteria for signaling when these damages might be unsustainable. First, the trend of estimated climate damages per BTC mined should not be increasing, as the industry matures. Second, per BTC mined, its market price should always exceed its estimated climate damages; i.e., BTC mining should not be “underwater” wherein per unit climate damages are greater than coin market prices for any appreciable period. Third, to contextualize the sustainability of BTC over some chosen time frame, estimated climate damages per coin mined should favorably compare to some reference percentage benchmark of the climate damages per unit market value of other sectors and commodities; e.g., ones that we regulate or consider unsustainable. We offer these measurable criteria for consideration as “red flags” of incipient climate damage from an emerging industry. They signal the need for change (e.g., production alternatives). Absent such change, it may be time to forgo a “business-as-usual” approach and consider collective action (e.g., increased regulation).

Energy use for mining cryptocurrencies

The proof-of-work (POW) blockchain technology used by Bitcoin (BTC) is energy intensive 5 , 24 . For context, BTC is a cryptocurrency with a decentralized open-source blockchain whose public ledger began in 2009 25 and is transacted peer-to-peer without any central authority (e.g., bank or government). Through December 2021, BTC had an approximately $960 billion (US$) market capitalization, and a roughly 41% global market share among all cryptocurrencies 26 .

POW blockchain technology is energy intensive because new blocks are added to the blockchain through a competitive consensus-driven verification process carried out by individual or pools of “miners.” Miners verify transactions occurring on the blockchain and compete simultaneously to correctly provide a unique transaction identifier, or “hash,” for a block 27 . Miners who are first to verify a given number of transactions and to provide the correct hash identifier are rewarded with new cryptocurrency and a new block is added to the chain 28 .

Providing the correct hash identifier employs enormous amounts of energy due to the decentralized production process, which encourages competition and creates a “winner-take-all” game 27 . As miners across the globe compete, as quickly as possible, to add new blocks to the chain (i.e., by generating guesses of the target hash identifier [“hash rate”]), they employ highly specialized computer equipment and machinery (known as “mining rigs”) that uses significant amounts of electricity to operate competitively 4 . As miners compete with ever more computing power (e.g., as more miners participate in the network, or, as more efficient mining rigs are employed, or both), the overall network hash rate increases, endogenously raising the computational difficulty required to correctly guess the target hash, thereby increasing the overall energy use of mining activity 29 .

Bitcoin’s global electricity usage

Using network hash rate data from January 2016 through December 2021 and data on mining equipment power consumption and efficiency 5 , 30 , Fig.  1 presents global electricity usage of mining BTC and prices per coin. On the basis of these estimates, in 2020 BTC mining used 75.4 TWh yr −1 of electricity, which is more energy than used by Austria (69.9 TWh yr −1 in 2020) or Portugal (48.4 TWh yr −1 in 2020) 31 . There is a general upward time trend in BTC electricity use and a close correlation between BTC prices and mining energy usage. The decline in BTC exchange prices and mining energy use in the summer of 2021 is likely due in part to China’s banning of financial institutions and payment companies from providing cryptocurrency-related transactions 32 .

figure 1

Global 7-days averaged daily electricity usage of mining activity (right axis) and coin exchange price in US$ (left axis) for Bitcoin (BTC). Data from January 1, 2016 to December 31, 2021 shown. Electricity usage is calculated based on network hash rate data downloaded from Blockchain Charts ( https://www.blockchain.com/charts ) and mining rig efficiency (see Methods  section). Prices downloaded from Yahoo! Finance ( https://finance.yahoo.com/cryptocurrencies/ ). All network hash rate and price data are supplied in the Supplementary Data.

Estimates from Cambridge University suggest the majority of electricity used to mine POW cryptocurrencies comes from coal and natural gas, though hydropower use was likely prominent in China until cryptocurrency mining was banned there 32 , 33 . Globally, it is estimated that 39% of POW mining is powered by renewable energy, meaning that non-renewables, such as fossil fuels, power the majority (~ 61%) 33 . Due to its considerable fossil fuel energy use, cryptocurrency mining contributes to global carbon emissions 30 , 34 with associated environmental damages 35 . Goodkind et al. 29 estimated that in 2018 each $1 (US$) of BTC market value created through mining was associated with $0.49 (US$) in combined health and climate damages in the US and $0.37 (US$) in China. Krause and Tolaymat 5 estimated that BTC, Ether, Litecoin, and Monero coins were responsible for 3–15 million tonnes of CO 2 emissions over January 2016 to June 2018. For comparison, in 2018, similar amounts of CO 2 were emitted from Afghanistan (7.44 million tonnes), Slovenia (14.1 million tonnes), and Uruguay (6.52 million tonnes) 36 .

Climate damages associated with bitcoin mining

As mining efforts have increased over time, we estimate steeply increasing CO 2 e (carbon dioxide equivalent) emissions per coin created. Using a global estimate of the location of BTC miners and the local electricity mix, and regional CO 2 e emission coefficients by generation type 37 , a BTC mined in 2021 is responsible for emitting 126 times the CO 2 e as a BTC mined in 2016—increasing from 0.9 to 113 tonnes (t) CO 2 e per coin from 2016 to 2021 (Fig.  2 A).

figure 2

Global estimates of Bitcoin (BTC) mining’s climate damages, CO 2 e emissions, and climate damages as a share of coin price. ( A ) Estimated climate damages ($/coin mined) and CO 2 e emissions (t/coin mined; bar chart) of BTC. A non-linear trend line has been fit to the damages per coin data to illustrate time trends (dotted line). ( B ) Climate damages as a share of the coin’s price for BTC. Values displayed are the 7-days running average. Climate damages per coin mined in ( A ) were divided by the daily market price of the coin and multiplied by 100 to put into percentage terms for calculation in ( B ). $100 t −1 damage coefficient used for CO 2 e emissions based on ranges in the peer-reviewed literature. Damages are in US$. Estimates span January 1, 2016 to December 31, 2021. See the Supplementary Data for emissions factors used and the climate damages data.

With increasing CO 2 e emissions per coin created, climate damages of producing BTC increased over time (Fig.  2 A). Using a $100 t −1 damage coefficient for CO 2 e emissions (dollar values in US dollars (US$) unless otherwise noted), commonly referred to as the social cost of carbon (SCC), each BTC created in 2021 resulted in $11,314 in climate damages, on average, with total global damages of all coins mined in 2021 exceeding $3.7 billion. Between 2016 and 2021, total global BTC climate damages are estimated at $12 billion. With rapid price increases in BTC at the end of 2020, climate damages of mining represented 25% of market prices for 2021 (Fig.  2 B). This percentage is useful to normalize the scale of externalities to the market price of the product. We offer two potential ranges of concern in Fig.  2 B—when the climate damages as a share of the coin price are between 50 and 100% (shown in amber), and when they are > 100% (shown in red). The former would be above those found on average in Goodkind et al. 29 , while the latter represents times when BTC was “underwater” on a per coin basis (i.e., climate damages exceeding the coin’s market price). With much lower prices in 2019 and 2020, BTC climate damages were 64% of market price, on average. For more than one-third of the days in 2020, BTC climate damages exceeded the price of the coins sold. Damages peaked at 156% of coin price in May 2020, suggesting each $1 of BTC market value created in that month was responsible for $1.56 in global climate damages.

By our first sustainability criterion that “the trend of the estimated climate damages per BTC mined should not be increasing, as the industry matures,” BTC fails. There is a clear upward trajectory in per coin estimated climate damages, as seen from the non-linear trend line in Fig.  2 A. Rather than declining as the industry matures, each new BTC coin mined is, on average, associated with increasing climate damages.

BTC also fails our second sustainability criterion that “per BTC mined, its market price should always exceed its estimated climate damages.” From Fig.  2 B, at multiple periods of time in 2020, BTC climate damages as a share of the coin’s price were greater than 100% (areas indicated in red). BTC was “underwater” at these intervals, meaning that each coin mined produced climate damages exceeding the market price of the coin. Over 2016–2021, BTC was underwater on 6.4% of days, and the damages exceeded 50% of coin price on 30.6% of days.

What if the social cost of carbon is varied?

One key parameter where we assume a range of values from available evidence is the SCC. For our baseline estimate, we follow Pindyck 38 in choosing $100 t −1 . SCC is the estimated present value of monetary damages from emitting an additional tonne of carbon today and monetizes the negative social externalities of carbon emissions 38 . From a policy and regulatory perspective, SCC is a key parameter for evaluating the social costs (i.e., those not considered in the market price) of a high-energy use product or service. Carleton and Greenstone 39 note the central role of the United States (US) Government’s official SCC estimate in both domestic US and international climate policy. SCC estimation has extensive history in economics 40 , 41 , 42 , and such values are widely used 39 .

However, while analyses that use SCC estimates must make assumptions on its value or range, there is no consensus 38 . There is a growing literature on both estimating the SCC and modeling the optimal SCC for pricing the externality 43 . The current US Government estimated SCC value is $51 t −1 CO 2 e in 2020 inflation-adjusted dollars 44 . However, President Biden’s Executive Order #13,990 (January 20, 2021) directed an updating of this value 45 .

Even a select review of recent SCC estimation studies encompasses a broad range of values 38 , 40 , 43 . Depending on varying assumptions and approaches, recent empirical studies can easily support a range of values around our SCC baseline coefficient of $100 t −1 CO 2 e, from + /−$50 t −1 on either side. Thus, to represent some of this variability we use two alternative SCC values to augment the $100 t −1 baseline: (i) $50 t −1 CO 2 e (essentially equivalent to the 2020 value of the 2010 US Government estimate), and; (ii) $150 t −1 CO 2 e.

We re-estimate climate damages of BTC using these alternative SCC values (Supplementary Table 1 ). The high and low values of the SCC adjust the estimated climate damages proportionally to the baseline value of $100 t −1 CO 2 e, and greatly impact the magnitude of the estimated damages. At $150 t −1 CO 2 e, BTC climate damages per coin mined averaged $4632 over 2016–2021, compared to $1544 at $50 t −1 CO 2 e, versus $3088 at $100 t −1 CO 2 e from the results in Fig.  2 A. With the high SCC, the climate damages were underwater 17% of the time between 2016 and 2021 (69% of days in 2020), whereas with the low SCC the climate damages were never underwater. Regardless of SCC value, climate damages of BTC mining increased substantially from 2016 to 2021, with a continuing upward trajectory.

What if mining used more renewable energy?

The CO 2 e emission estimates and climate damages depend, critically, on assumptions of the share of renewable electricity sources used in cryptocurrency mining. Due to the decentralized and anonymized nature of cryptocurrency mining, determining actual energy sources is a challenge and no primary data sources exist 30 . This has led to a range of estimates in the literature. Prior work suggests the share of renewables (e.g., solar, wind, hydropower) used by POW mining processes may vary considerably, from 25.1% of mining’s total electricity use 37 , to 39% 33 and even up to 73% 46 . Some of the differences in estimates are due to the time periods studied. China, once a large source of global Bitcoin mining that likely used significant amounts of renewable hydropower 30 , banned all cryptocurrency mining in 2021 32 . This appears to have drastically altered the global share of renewables used by Bitcoin miners, resulting in an increased use of fossil fuels 37 . Thus, renewable share estimates before and after the China ban would be expected to be different, and perhaps considerably so. Other differences, such as the methods used to locate miners, assumptions on mining rig efficiency and cooling needs, and assumptions on electricity sources can also drive differences in the range of estimates found in prior work 30 , 37 .

Given the large ranges found, we expand our analysis with an alternative higher renewable electricity scenario. In this scenario, we increase the share of renewable generation used to mine cryptocurrencies from the baseline of 38.5% (plus 5.2% nuclear power) to a scenario with 50% more renewables (to 57.8% in total plus 5.2% nuclear). This scenario represents a hypothetical situation in which cryptocurrency miners use substantially more renewables than the baseline and a large majority (63%) of electricity from directly carbon free sources (renewables and nuclear combined).

Compared to the baseline renewable share, increasing use of renewables in BTC mining reduces associated climate damages per coin mined (Supplementary Table 2 ). With a 50% increase in the renewable share, BTC climate damages are approximately two-thirds of the baseline magnitude. Yet, even for this high renewable scenario the climate damages still average 23% of the coin’s price (2016–2021), despite miners only using 37% of their electricity from fossil fuels. Thus, even if BTC miners obtained the majority of their electricity from renewables and directly carbon free sources, there are still large and growing climate damages.

Comparison to other commodities

Recall from Fig.  2 B, which showed climate damages per coin market price, that the ratio of BTC damages to price declined from 2020 to 2021. This does not necessarily imply that the POW mining process is sustainable. To contextualize these ratios, we make climate damage comparisons against some other relevant commodities and economic products: (i) electricity generation by source (hydropower, wind, solar, nuclear, natural gas, and coal), (ii) crude oil processed and burned as gasoline, (iii) automobile use and manufacturing (sport utility vehicles (SUVs) and mid-sized sedans), (iv) agricultural meat production (chicken, pork, and beef), and; (v) precious metals mining (rare earth oxides (REOs), copper, platinum group metals (PGMs), and gold). Figure  3 shows climate damages per unit market price (% of price) for BTC compared to lifecycle climate damages of these 16 other commodities.

figure 3

Bitcoin (BTC) mining’s climate damages as a share of coin market price (2016–2021), compared with full lifecycle analysis climate damages as a share of market price for other commodities (for a single year). Damages are expressed in percentage terms (% of market price). BTC climate damages only include energy use and emissions from running mining rigs, and do not include climate damages associated with cooling and manufacturing of mining rigs or other potential sources of carbon equivalent emissions. This makes estimated BTC damages a lower bound compared to the full lifecycle damages for the other commodities shown. Climate damages for the other commodities and economic products shown are calculated using lifecycle estimates from the peer-reviewed literature and US government agencies combined with publicly available price data. All commodity prices and lifecycle climate damage data are in the Supplementary Data.

Climate damages of BTC averaged 35% of its market value (2016–2021), and 58% (2020–2021). This places BTC in the category of other energy intensive or heavily-polluting commodities such as beef production, natural gas electricity generation, or gasoline from crude oil, and substantially more damaging than what we might consider to be more sustainable commodities like chicken and pork production and renewable electricity sources like solar and wind. For solar and wind specifically, their full lifecycle climate damages as a share of their market prices are an order-of-magnitude below those of BTC over 2016–2021. BTC mining also generates climate damages per unit price that are an order-of-magnitude above those generated from the mining of precious metals such as gold, copper, PGMs, and REOs, which all average < 10% per unit market value compared to BTC’s 35% average over 2016–2021. For the specific case of gold, which is considered by some to be an important store of value and a hedge against volatility in stocks, bonds, and the US dollar 47 , BTC’s climate damages are a relative outlier. As a share of gold’s market price, its climate damages average 4%; BTC’s 2016–2021 average climate damages are 8.75 times greater.

Given the high share of climate damages to BTC market price, we ask: “What utilization share of renewable electricity sources would make BTC production similar in climate damage impact to more sustainable commodities?” Our results suggest that if the share of renewable electricity sources for 2016–2021 increased from 38.5 to 88.4% (with additional 5.2% from nuclear)—a 129% increase—the climate damages as a share of coin price for BTC would drop from 35 to 4.0%; similar in magnitude to the climate damages of solar power or gold.

Absent such an extreme increase in the share of renewable electricity used in mining, BTC’s climate damages will remain an outlier compared to more sustainable commodities. Thus, BTC mining presently fails our third sustainability criterion that “estimated climate damages per coin mined should favorably compare to some reference percentage benchmark of the climate damages per unit market value of other sectors and commodities.” Though not as climate damaging as coal electricity generation, BTC mining generates similar damages as gasoline, natural gas generation and beef production, as a share of market prices; none of which would generally be considered sustainable 48 , 49 .

Digitally scarce goods are likely here to stay, and will bring innovation to a variety of economic dimensions generating value to people. It is important to sort this broader context from the elements of this digital economy that may have particularly significant sustainability and climate concerns (see President Biden’s March 2022 Executive Order on cryptocurrencies for the US 50 ). Our focus is on the dominant cryptocurrency, BTC, which uses a highly energy-intensive, competitive POW mining scheme. While society and nations weigh the benefits and costs of various digitally scarce goods, we provide an empirical approach for evaluating BTC sustainability concerns.

We find that for 2016–2021: (i) per coin climate damages from BTC were increasing; (ii) as a share of its market price, BTC climate damages were underwater 6.4% of days, and damages exceeded 50% of the coin price 30.6% of days; and (iii) the average BTC climate damage share was 35% over the period, which falls in the range between beef production and gasoline consumption (as processed from crude oil), but is less than coal electricity generation. BTC’s climate damages per unit market price are roughly an order-of-magnitude higher than wind and solar generation; i.e., it is operating far above any renewable benchmark that might be offered. Taken together, the results represent a set of red flags for any consideration as a sustainable sector (investment or otherwise). While proponents regularly offer BTC as representing a kind of “digital gold” 51 , 52 , from a climate damages perspective BTC operates more like “digital crude.”

There are a number of important caveats about our offered criteria. First, as to our second criterion, the meaningfulness of our “underwater” benchmark (where the ratio of per coin climate damages as a share of market price not exceed 100%) could be called into question. This exceedance occurs 6.4% of the study period for BTC. While this might be a clear alarm threshold, might it be too weak? Why not 50%, or even staying below 25%? To help consider this, we turn to our third criterion, where we make comparisons to other commodities and sectors. In doing so, staying under a 10% share for an emergent technology might be a preferable sustainability criterion—a level exceeded by BTC 96% of the days in our study.

We highlight that for our comparison commodities, the shares all represent full lifecycle damage estimates, but not for BTC. Thus, BTC shares are deflated in this initial research, ignoring carbon emissions from cooling of mining rigs, rig manufacturing, electronic waste, building construction, etc., where only very preliminary impact estimates are emerging in the literature 35 . A further caveat, with respect to our second and third criteria, relates to accumulating evidence that some cryptocurrency prices may be inflated by significant speculation, and even manipulation (referred to as “crypto washing”) 13 . Naturally, an inflated price will artificially decrease the estimated climate damages to price ratio. To the extent that artificial price inflation is occurring, the damage ratio with a not-manipulated price may be higher than those presented here. Finally, we have focused strictly on climate damages, but many technology assessments also include health damages from emissions. Thus, for several reasons our sustainability evaluations for BTC are highly conservative.

While not the focus of this paper, an alternative cryptocurrency production process to POW, known as proof-of-stake (POS), could be used to lower the energy use of cryptocurrency mining. POS works by requiring validators to hold and stake coins, with the next block writer on the blockchain being selected at random, with higher odds being assigned to those with larger stake positions 53 . POS, by relying on randomization and validation sharing, does not require significant computational power and therefore uses a fraction of the electricity as POW mining. Ethereum, the second largest cryptocurrency by market capitalization 26 , is scheduled to switch from POW to POS sometime in 2022, lowering its estimated energy use by 99.95% 54 . If Bitcoin, the dominant global cryptocurrency, could also switch from POW to POS, its energy use, and, by extension, its climate damages estimated in this work, would likely become negligible. However, the likelihood of BTC switching to POS seems low at present 55 .

There is no shortage of advocates for digitally scarce goods, and the innovation they offer. Even in the pages of Nature Climate Change , Howson 20 argues: “Remaining overly fixated on the inefficiency of some cryptocurrencies is likely to encourage throwing the blockchain baby out with Bitcoin’s bathwater.” But the danger of path dependence and technological lock-in with an emergent industry 56 , 57 supports the argument that POW-based cryptocurrencies, which dominate market share, do indeed merit special attention. Our counterfactuals show that extreme changes would be required to make BTC sustainable (e.g., on the renewable mix). POW-based cryptocurrencies are on an unsustainable path. If the industry doesn’t shift its production path away from POW, or move towards POS, then this class of digitally scarce goods may need to be regulated, and delay will likely lead to increasing global climate damages.

Climate damages of Bitcoin mining

Estimates of climate damages from Bitcoin mining follow methods described in the existing literature in this space 5 , 29 . The primary estimate of interest is electricity consumption per BTC coin mined (in kWh per coin), as derived from the daily network hash rate of the BTC blockchain 58 ; this is the number of calculations on the network in gigahashes per second (GH/s). Using an estimate of average efficiency of BTC mining rigs, in joules (J) per GH, we calculated total electricity consumption (in kWh/day) of the network in Eq. ( 1 ), after converting J/s to kilowatts (kW) and multiplying by 24 h per day:

We calculated total BTC coins mined per day in Eq. ( 2 ) using average time in minutes for a block to be added to the blockchain per day 59 and the miner reward in BTC coins per block:

Dividing electricity consumption of the network by the number of coins yields the electricity per coin in Eq. ( 3 ):

Multiplying electricity per coin by a global average estimate of the greenhouse gas emission factor (EF) for electricity in the BTC network (in kg CO 2 e/kWh) produces our estimate of emissions per coin in Eq. ( 4 ). The emission factors used are provided in the Supplementary Data.

Climate damages per coin are calculated as emissions per coin times the SCC (in $/t CO 2 e) in Eq. ( 5 ):

Damages as a share of coin price takes the damages per coin and divides by the daily market price of BTC 60 . All estimates of annual or multi-year damages per coin or damages per share of coin price take a daily-coin-generated weighted average across days (i.e., weighted by number of coins generated each day).

Mining rigs improved the efficiency of hash calculations per unit of energy over our study period. For BTC, we calculated annual average rig efficiency from sales data in 30 for 2016–2018, and then used the efficiency of the popular ANTminer s15 for rig efficiency for 2021. We fit a non-linear relationship (Eq.  6 ) between this data to compute a declining but flattening rig energy usage per hash for any day in our study period:

where days is the number of days since 1/1/1900.

Greenhouse gas emissions of electricity generation of the BTC network of miners comes from 37 . We averaged their monthly estimates of global emission factors (kg CO2e/kWh) from September 2019 through August 2021, and applied this average across our study period. The emission factors in 37 are based on mining pool locations and country and sub-country (China and US) electricity mixes and generation-source-specific emission factors. As sensitivity analyses, we used emission factors from two other sources: (i) from 30 , and; (ii) the US average electricity mix by year using electricity source and generation mix estimates from various US government agencies 61 , 62 . Results from these analyses are provided Supplementary Table 3 and are qualitatively similar to our baseline results.

Comparison commodities climate damages

Climate damages from 16 comparison commodities are calculated: electricity generation by source (hydropower, wind, solar, nuclear power, natural gas, and coal); crude oil processed and burned as gasoline; automobile use and manufacturing (sport utility vehicles (SUVs) and mid-sized sedans); agricultural meat production (chicken, pork, and beef), and; precious metals mining (rare earth oxides (REOs), copper, platinum group metals (PGMs), and gold). For each commodity we use estimates of full lifecycle CO 2 e emissions per unit of production, and multiply this by the SCC to obtain climate damages per unit. Climate damages per unit are divided by market price to get damages as a share of commodity value. All commodity price and CO 2 e emissions data per unit production are provided in the Supplemental Data.

For the electricity sector, we used the average lifecycle CO 2 e emissions per kWh electricity generated for the US from the NREL 61 , by source type, and the electricity generation mix by source type for each year from the US EIA 62 . For the market price of electricity, we use the 2016–2021 average retail price across the residential, commercial, industrial, and transportation sectors from the US EIA 63 .

For the agricultural meat sector, we obtained estimates of the lifecycle CO 2 e emissions per head from the FAO 64 , 65 ; for North America (pork), for North America (broilers), for North America (beef). We adjusted for average quantity of meat per carcass to get emissions per kg of meat (pork: 65%, beef: 65%, chicken: 100%) using data from university state extension services 66 , 67 . The chicken price is per carcass (not per kg of meat) and thus 100% of the carcass is used. Price data are averaged from 2016 to 2020, obtained from the USDA Economic Research Service for pork, beef, and chicken 68 .

For gasoline from crude oil, we use an estimate of the well-to-wheel lifecycle emissions from the literature 69 and the 2016–2021 average retail price of gasoline from the US EIA 70 .

For vehicles, over a 15-years lifetime, we use estimates of the total cost of ownership and vehicle operation emissions, assuming 14,263 miles annually 71 based on a 2019 Ford Explorer for a sport utility vehicle (SUV) and a 2019 Toyota Camry for a mid-sized sedan. We add vehicle emissions from fabrication and materials production and extraction using data from the peer-reviewed literature 72 .

For precious metals, annual prices (US$ per troy ounce, US$ per lb, or US$ per kg) for rare earth oxides (REOs), copper, platinum group metals (PGMs), and gold were obtained from the 2021 USGS Mineral Commodity Summaries for 2016–2020 73 . Full lifecycle CO 2 e emissions per unit mass come from 74 for gold, from the International Platinum Group Metals Association 75 for PGMs, from 76 for copper, and from 77 for REOs.

Data availability

All data used in this paper are included in the article and in the Supplementary I nformation file or are publicly available online as noted.

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Conceptualization: B.A.J., A.L.G., R.P.B.; methodology: B.A.J., A.L.G., R.P.B.; investigation: B.A.J, A.L.G., R.P.B.; visualization: A.L.G.; writing original draft: B.A.J., R.P.B.; writing, review, and editing: B.A.J., A.L.G., R.P.B.

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Jones, B.A., Goodkind, A.L. & Berrens, R.P. Economic estimation of Bitcoin mining’s climate damages demonstrates closer resemblance to digital crude than digital gold. Sci Rep 12 , 14512 (2022). https://doi.org/10.1038/s41598-022-18686-8

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research paper cryptocurrency

Cryptocurrencies under climate shocks: a dynamic network analysis of extreme risk spillovers

Financial Innovation volume  10 , Article number:  54 ( 2024 ) Cite this article

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Systematic risks in cryptocurrency markets have recently increased and have been gaining a rising number of connections with economics and financial markets; however, in this area, climate shocks could be a new kind of impact factor. In this paper, a spillover network based on a time-varying parametric-vector autoregressive (TVP-VAR) model is constructed to measure overall cryptocurrency market extreme risks. Based on this, a second spillover network is proposed to assess the intensity of risk spillovers between extreme risks of cryptocurrency markets and uncertainties in climate conditions, economic policy, and global financial markets. The results show that extreme risks in cryptocurrency markets are highly sensitive to climate shocks, whereas uncertainties in the global financial market are the main transmitters. Dynamically, each spillover network is highly sensitive to emergent global extreme events, with a surge in overall risk exposure and risk spillovers between submarkets. Full consideration of overall market connectivity, including climate shocks, will provide a solid foundation for risk management in cryptocurrency markets.

Introduction

In recent years, the cryptocurrency market has witnessed a significant surge in trading volume and market capitalization, which can be attributed to the proliferation of numerous cryptocurrencies following the 2017 bull market. With the market capitalization of the cryptocurrency industry exceeding $1 trillion at the start of 2021, the cryptocurrency market has attracted a wide range of institutional and retail investors. However, in the expansion path of the cryptocurrency market, investors have experienced a series of bubbles and crashes (Chowdhury et al. 2022 ). There is a possibility of a complete collapse in cryptocurrency prices (Fry 2018 ). For example, Bitcoin's value plummeted by 99% in a single day in June 2011, and the global cryptocurrency market experienced the evaporation of one trillion dollars in market value within one week in May 2021. The complex dynamics between the main elements in the cryptocurrency market (Ji et al. 2019a ; Antonakakis et al. 2020 ) have drawn public and academic attention to the systemic risk of various cryptocurrencies and the overall cryptocurrency market (Canh et al. 2019 ; Akhtaruzzaman et al. 2022 ). Bitcoin, the largest cryptocurrency based on market capitalization, is often viewed as an important safe haven asset and portfolio diversifier (Bouri et al. 2017 ). However, as cryptocurrencies become increasingly intertwined with other markets, the volatility and uncertainty in these markets or economic systems can be rapidly contagious within the cryptocurrency market. Consequently, Bitcoin’s effectiveness as a safe haven during risk contagion has come under scrutiny (Klein et al. 2018 ; Conlon and McGee 2020 ).

As the economic and social impacts of climate change expand, climate shocks will also have a series of profound impacts on financial markets, including cryptocurrency markets (Martinez-Diaz and Keenan 2020 ; Fernando et al. 2021 ). Hasselmann ( 1997 ) noted the significant uncertainty present in both climate and economic systems, requiring appropriate climate policies. These policies should address a range of possible scenarios, developed with full consideration of such uncertainty. In global climate mitigation and adaptive actions, socioeconomic and climate scenarios are often examined together to analyze vulnerability to climate change (Berkhout et al. 2014 ). However, uncertainties in socioeconomic systems and their interactions with the climate system are more complex than those in the climate system itself (Schelling 2009 ; Giupponi et al. 2013 ). Cryptocurrency markets are interconnected with financial and economic systems, and shocks to financial markets from climate risk can spill over into cryptocurrency markets. Especially when considering the association between cryptocurrency properties and climate risk, climate risk can impact cryptocurrency markets through these mechanisms. Specifically, because of the production nature of cryptocurrencies, proof-of-work (PoW) algorithms for cryptocurrencies, such as Bitcoin, are designed to incentivize electricity consumption. Not all mining practices use low-carbon electricity, and greenhouse gas emissions from the attendant massive increase in fossil fuel power generation contribute to climate change (Stoll et al. 2019 ; Schinckus et al. 2020 ; Milunovich 2022 ). The embedded carbon footprint of cryptocurrency transactions in relation to environmental sustainability is of great concern (Corbet et al. 2021 ). Globally, increased cryptocurrency-related activities have been shown to have negative externalities and are environmentally unsustainable (Vranken 2017 ; Mora et al. 2018 ). For example, carbon mitigation actions in countries such as China and the United States may be affected (Jiang et al. 2021a ). Research on the interconnections between cryptocurrency markets and other financial markets as well as economic policies has gained academic attention. Previous studies have focused on the interconnections and risk spillovers within cryptocurrency markets or between cryptocurrency markets and traditional financial markets. However, less attention has been paid to the importance of climate shocks. When the risk connectedness between cryptocurrencies and other markets has been examined in previous studies, Bitcoin volatility has been used mostly as a proxy for cryptocurrency market volatility, with less consideration of the overall extreme risk of the cryptocurrency market. However, the embedded carbon footprint of cryptocurrency trading and the close connection of cryptocurrency markets to other markets also enable climate shocks to be transmitted to cryptocurrency markets through both direct and indirect channels. Therefore, this study first measures the extreme risk of different cryptocurrencies using the value at risk (VaR) method. The time-varying parameter-vector autoregression (TVP-VAR) model is then employed to construct extreme spillover networks for cryptocurrency markets based on upside and downside risks, respectively. The overall connectedness risk of cryptocurrency markets can be measured from the network. Then, the second TVP-VAR-DY connectedness network is built, here considering climate risk as a new uncertainty, along with uncertainties in policy and in the capital, financial, oil, and gold markets.

The rest of this paper is structured as follows: Sect. " Literature Review " presents a literature review; Sect. " Methodology and Data " introduces the methodology and data; Sects. " Empirical Analysis " and " Robustness Tests " provide the empirical analysis and robustness tests, respectively; and Sect. " Conclusion " concludes the paper.

Literature review

Research on cryptocurrency markets and traditional uncertainties.

With the rapid integration of various cryptocurrencies into traditional financial markets, considerable effort has been expended on the factors of cryptocurrency volatility, including endogenous factors, exogenous influences such as exchange rate markets, stock markets, bond markets, gold markets, and economic policy uncertainty.

Endogenous factors, which involve the interaction of cryptocurrencies (Ji et al. 2019b ) and exchanges (Ji et al. 2018 ) could not be ignored. Soylu et al. ( 2020 ) studied the long-memory property of three major cryptocurrencies—Bitcoin, Ethereum, and Ripple—and found that their squared returns all had long memory and could be fitted using a family of GARCH models. Regarding the volatility dynamics of the cryptocurrency market, scholars have applied different estimation methods to study spillover effects among digital currencies. Koutmos ( 2018 ) investigated the interdependence of 18 major cryptocurrencies, such as Bitcoin, based on the volatility spillover framework of vector autoregression (VAR) with variance decomposition proposed by Diebold and Yilmaz ( 2009 ). The results indicated that Bitcoin was the main risk dominating the connectedness network and that the strength of the spillover effect of cryptocurrency returns and volatility, which gradually increased over time, increased the risk of contagion.

Although there are essential differences between cryptocurrencies and sovereign currencies of leading countries, especially treasury bonds which are often perceived as safe havens, they are still inextricably linked (Ji et al. 2018 ). Aharon et al. ( 2021 ) showed the dynamics between the historical volatility of exchange rates of the main fiat currencies in Canada, Switzerland, the European Union, Japan, the UK, and Bitcoin. Hsu et al. ( 2021 ) used a diagonal BEKK model to investigate the risk spillovers of three major cryptocurrencies to traditional currencies and found significant volatility spillover effects between cryptocurrencies and traditional currencies, especially during the COVID-19 pandemic. Other researchers arrived at similar conclusions (Peng et al. 2018 ; Andrada-Félix et al. 2020 ). In response to the surge in cryptocurrencies, numerous central banks have introduced central bank digital currencies (CBDCs) to tackle the challenges posed by the potential impacts of cryptocurrencies (Wang et al. 2022 ). Wang et al. ( 2023 ) established the TVP-VAR-DY and TVP-VAR-BK models to examine the risk spillovers between the Central Bank Digital Currency Attention Index (CBDCAI) and the cryptocurrency market. They found that CBDCAI has a significant risk spillover effect on the cryptocurrency market, thereby impacting its prices. The relationship between cryptocurrencies and the financial market has been analyzed in detail over the past decade. Regarding the stock market, Gil-Alana et al. ( 2020 ) provided evidence of the significant role of cryptocurrencies in investor portfolios, which have served as a diversification option. Cryptocurrencies and stock markets have remained correlated throughout the COVID-19 pandemic (Caferra and Vidal-Tomás 2021 ) in various countries (Jiang et al. 2021b ). In terms of bonds, comparing three bond markets (BBGT, SPGB, and SKUK), Karim et al. ( 2022 ) measured the hedge and safe haven characteristics of three cryptocurrency indices (UCRPR, UCRPO, and ICEA), revealing that SPGB outperformed other bonds and provided effective diversification for cryptocurrency indices. Even in developing countries, cryptocurrencies have hedging potential (Hartono and Robiyanto 2021 ).

Moreover, considering investment substitutions, both cryptocurrencies (e.g., Bitcoin) and gold have shown diversification (Brière et al. 2015 ), as well as hedging capabilities (Dyhrberg 2016 ), with the return and volatility connectedness among the cryptocurrency and gold markets analyzed in the literature. Ozturk ( 2020 ) showed that there was a correlation between Bitcoin and the gold market, and that medium and high frequencies are the main influences on the correlation of returns and volatility, respectively. Intriguingly, energy markets (Ji et al. 2019a , b ), oil markets (Okorie and Lin 2020 ; Ozturk 2020 ) and carbon prices (Pham et al. 2022 ), among other factors, have been found to play a role in cryptocurrency volatility.

Macroeconomic and policy uncertainties have been well established in the literature as greatly impacting the volatility of traditional financial markets as well as cryptocurrency markets. Ghosh et al. ( 2022 ) employed the DCC-GJR-GARCH and quantile cross-spectral models to investigate the impact of uncertainty in economic and trade policies on the stock markets of China and the United States. This study revealed that the economic and trade policy uncertainty between the two countries resulted in a pronounced clustering effect of high volatility in their respective stock markets. Moreover, changes in China’s cryptocurrency policy have been negatively associated with Bitcoin and Litecoin volatility (Yen and Cheng 2021 ). Kwon ( 2021 ) found that a 1% VaR for Bitcoin had a positive relationship with the US economic policy uncertainty index. In the cryptocurrency market, informed and institutional investors demonstrate greater sensitivity to changes in both price and policy uncertainty, as opposed to solely reacting to price fluctuations (Lucey et al. 2022 ). Other macroeconomic uncertainties, including global economic policy uncertainty (Fang et al. 2020 ), cryptocurrency policy uncertainty (Elsayed et al. 2022 ), systemic risks in the global financial market (Li and Huang 2020 ), and global geopolitical risks (Aysan et al. 2019 ; Bouri et al. 2021a , b ; Kyriazis 2020 ; Su et al. 2020 ) also influence the volatility of cryptocurrencies.

Behavioral finance factors such as internet attention (Zhang et al. 2021 ) and investor attractiveness (Al Guindy 2021 ; Bouri et al. 2021a , b ; das Neves, 2020 ), have also been included when analyzing the factors influencing cryptocurrency markets. Zhang et al. ( 2021 ) employed a time-varying causality method to examine the relationship between trading volume, returns, and internet attention in the global Bitcoin market. They found that Bitcoin internet attention had a strong Granger causality relationship with trading volume and that Bitcoin returns had a strong impact on internet attention but not vice versa, which was shown to increase with extreme price fluctuations.

Research on cryptocurrency markets and climate shocks

The interaction of the climate system with the financial system has introduced new uncertainties into the entire system (Giupponi et al. 2013 ). Climate shocks can weigh on capital markets (e.g., stocks, bonds, commodities, and crude oil). Global warming has placed pressure on policymakers to develop green economies, with financial resources and capital being encouraged to increasingly flow away from fossil fuels and towards non-fossil energy sources (OECD 2017 ). This accelerated energy transition and economic electrification pose price risks to energy companies (Fernandes et al. 2021 ). Similarly, stock market returns depend on climate change-related risks and are subject to higher-intensity shock spillovers in depressed and booming market states (Khalfaoui et al. 2022 ). However, as an alternative investment, cryptocurrency market prices are correlated with prices in these markets and may be accompanied by risk spillovers from climate shocks to cryptocurrency markets.

Furthermore, the increasingly active cryptocurrency market will impact global electricity consumption, the environment, and climate (Stoll et al. 2019 ; Schinckus et al. 2020 ). Specifically, because PoW is the consensus algorithm that underpins cryptocurrencies such as Bitcoin, cryptocurrency transactions consume large amounts of electricity (Milunovich 2022 ). Cryptocurrencies such as Bitcoin operate on decentralized computer networks, employing algorithms that involve solving hash function puzzles to verify transactions and provide rewards to successful validators known as cryptocurrency miners. The surge in cryptocurrency prices has resulted in substantial mining rewards, attracting a growing amount of computational power to participate in mining processes. However, this trend also results in significant energy consumption and a notable increase in the carbon footprint (Wendl et al. 2023 ). Empirical findings have demonstrated the impact of cryptocurrency energy use on the pricing of large electricity markets (Corbet et al. 2021 ). The significant growth in the carbon footprint caused by such mechanisms within blockchain networks, coupled with the industry’s lack of a proactive attitude towards technological adjustments for energy reduction, poses a severe threat to achieving the net-zero carbon emissions goal by 2050, as proposed at COP26 Footnote 1 (Truby et al. 2022 ). To mitigate the environmental impact of the energy-intensive mining mechanism associated with cryptocurrencies, Ethereum has adopted a lower-energy-demanding consensus mechanism called the “proof of stake” (PoS) as a replacement for the traditional PoW. However, extending this alternative solution to other cryptocurrencies presents several challenges (De Vries 2023 ). Energy consumption and the associated carbon footprint growth inherent in the development of the cryptocurrency market have raised concerns about the environmental risks associated with this market and its underlying technologies (Ren and Lucey 2022 ). Thus, climate shocks may generate risk spillovers to the cryptocurrency market through mechanisms such as changes in investor attention, information transmission between markets, and regulatory policies. Although many scholars have studied the relationship between cryptocurrency markets and financial markets, climate risk, and economic systems, few have comprehensively examined risk transmission between economic and financial systems, including cryptocurrency markets and climate risk, in an integrated manner.

Hence, this study has constructed two spillover networks. The first network examines the extreme risks of cryptocurrencies, whereas the second encompasses a spectrum of uncertainties in climate conditions, economic policy, and the global financial market. The objective is to analyze the transmission of risks between these diverse uncertainties and the extreme risks associated with cryptocurrencies.

Previous research has predominantly examined the cryptocurrency market through the lens of returns, volatility, trading volume, realized volatility, and implied volatility (Aalborg et al. 2019 ; Akyildirim et al. 2020 ; Bonaparte 2023 ). The prices of cryptocurrencies such as Bitcoin have experienced significant volatility in recent years, highlighting the need for investors to be vigilant about extreme risk (Bouri et al. 2019 ; Naeem et al. 2022 ). Accordingly, our study explores the interrelationships among cryptocurrencies from the perspective of extreme risk. Moreover, when investigating the dynamic connectedness between extreme risk and other sources of uncertainty within the cryptocurrency market, our analysis extends beyond solely employing Bitcoin as a representative of the cryptocurrency market because we encompass five other prominent cryptocurrencies within our analytical framework.

In addition, we deviate from conventional examinations of the factors influencing the cryptocurrency market, which typically include financial markets, energy markets, and policy uncertainty. Instead, we introduce an innovative factor, namely, climate risk. Climate risk affects the cost of currency issuance through its influence on the fuel prices that power cryptocurrencies, holding the potential to transmit risks to the cryptocurrency market via climate shocks that can reverberate across financial markets. Notably, in terms of characterizing climate risk, previous studies have commonly employed physical risk as a measure (Hong et al. 2019 ; Addoum et al. 2020 ). Conversely, our study has adopted an approach that utilized Google Trends data encompassing the terms “climate risks,” “climate change,” and “global warming.” By selecting these three keywords from Google Trends, we gauged climate risk from the perspective of societal concerns, thereby introducing a new dimension to our analysis.

Methodology and data

Methodology, tvp-var-dy approach.

In this study, we utilized the vector autoregressive method with time-varying parameters (TVP-VAR) combined with the generalized variance decomposition-based spillover index method to build overall risk spillover networks (Diebold and Yilmaz 2009 ; Antonakakis et al. 2020 ). The TVP-VAR method overcomes the limitations of the traditional rolling-window VAR method in terms of sample loss, window width selection, and outlier effects. It also incorporates time-varying intercept terms and stochastic volatility (SV), making volatility spillover estimates comparable across periods and insensitive to outliers (Antonakakis et al. 2020 ). Based on the volatility series of each market return, the TVP-VAR model is first constructed and then transformed into a vector moving average (VMA) model. This is followed by the variance decomposition correlation matrix obtained by H-step prediction variance decomposition, on which the dynamic correlation index of market risk spillover in each period is calculated.

We define the daily return volatility of market i as \({y}_{i,t}\) , here considering the total volatility vector for m markets \({y}_{t}={({y}_{1,t},...,{y}_{m,t})}{\prime}\) ; Hence, the TVP-VAR(p) model with \({y}_{t}\) series satisfied is constructed as follows:

where \({\Omega }_{t-1}\) represents all known information up to period t-1. To estimate the generalized impulse response functions (GIRF) and generalized forecast error variance decompositions (GFEVD), it is essential to compute them in a generalized linkage estimation (Koop et al. 1996 ; Pesaran and Shin 1998 ; Diebold and Yılmaz 2014 ). Following Koop and Korobils ( 2013 ), we integrate a Kalman filter with a forgetting factor into the TVP-VAR model, allowing for the differential weighting of historical estimates and recent observations. This adaptive mechanism enhances the responsiveness of the model to changes resulting from high-dimensional data. Based on the seminal works, benchmark values for the forgetting factor, specifically \({\kappa }_{1}\) =0.99 and \({\kappa }_{2}\) =0.96, are chosen to guide the analysis. Based on the time-varying parameters and matrix results of the Kalman filter estimation model with forgetting factors and the Wold representation theorem, the TVP-VAR model is transformed into the corresponding VMA model:

where \({B}_{jt}\) is an \(m\times m\) dimensional matrix. The generalized error variance decomposition of H-step that forecasts GFEVD( \({\widetilde{\phi }}_{ij,t}(H)\) ) is performed based on the VMA model to obtain the \(m\times m\) dimensional generalized variance decomposition matrix. Each element of the matrix reflects the proportion of the H-step forecast variance of the total volatility of market i which is contributed by the market j disturbance. The pairwise directional connectedness \({\widetilde{\phi }}_{ij,t}(H)\) from j to i is calculated by the following:

with \({\sum }_{j=1}^{m}{\widetilde{\phi }}_{ij,t}\left(H\right)=1\) and \({\sum }_{i,j=1}^{m}{\widetilde{\phi }}_{ij,t}\left(H\right)=m\)

where \({\Psi }_{ij,t}(H)\) is the GIRF, representing the responses of all other markets j to the shock in market i . The dynamic correlation index (DY) of the risk spillover can be calculated based on the results of the variance decomposition of the total volatility of each market.

The total connectedness index (TCI) illustrates the overall risk spillover within the network of risk spillovers constructed by all markets:

The directional spillover index reflects the spillover relationship between a given market and all other markets, including the spillover, spill-in, and net spillover indices. Among them, the total directional connectedness to others (TO) indicates the total spillover effect of market i in period t to all other markets:

The total directional connectedness from others (FROM) denotes the total spillover to market i in period t from all other markets:

The total directional connectedness TO minus the total directional connectedness from others (FROM) yields the net total directional connectedness (NET), which represents the influence of market i on all other markets:

To examine bilateral directional relationships, the net pairwise directional connectedness (NPDC) between two markets indicates the net spillover effect of market i on market j :

We built upside and downside risk spillover networks for the overall cryptocurrency market and constructed a cryptocurrency market time-varying TCI to estimate extreme risks for the cryptocurrency markets (CRYPTOVU and CRYPTOVD for the upside and downside risks, respectively). For the second TVP-VAR-DY connectedness network, various types of uncertainties, including climate, financial, policy, international capital market, oil, gold, and bond risks, are considered to study the spillover effects between each type of uncertainty and the overall extreme risk of the cryptocurrency market. EViews software and R language were utilized for data analysis, and R language was used for model construction.

Data and indicators

Measurement of extreme risk in the cryptocurrency market.

To measure extreme risk in the cryptocurrency market, the price data of representative cryptocurrencies are used to estimate the volatility VAR of various currencies. JPMorgan and Reuters created the VAR risk metric in 1994, after which VAR began to be applied to market extreme risk calculations in many other industries, such as banking. Based on this, we have established the first layer of the dynamic risk spillover network and constructed the total cryptocurrency market risk spillover indexes CRYPTOVU and CRYPTOVD as proxy variables for extreme upside and downside risks in the cryptocurrency market.

VAR is used to measure the extreme risk of various cryptocurrency assets and to calculate volatility connectedness to measure the volatility of various cryptocurrency markets. Cryptocurrency returns \({r}_{i,t}\) are calculated as log changes of the closing price for each currency, which can be denoted as follows:

where \({r}_{i,t}\) represents the returns of cryptocurrency i in period t and \({P}_{i,t}\) denotes the closing price of cryptocurrency i in period t .

The upside risk and downside risk are calculated as follows:

where \({VaR}_{i,t}^{U,\alpha }\mathrm{ and }{VaR}_{i,t}^{D,\alpha }\) represent the upside and downside risk of asset i in period t , respectively; \({\upmu }_{{\text{it}}}\) and \({\upsigma }_{{\text{it}}}\) represent the conditional mean and normalized residuals of the return series, respectively; and \({t}_{i,t}^{-1}(1-\mathrm{\alpha })\) represents the quantile of the skewed t-distribution at \(\mathrm{\alpha }\) level.

The Autoregressive Moving Average (ARMA) model, ARMA(m,n), is employed to describe the mean equation of the return series as follows:

where \({{\text{r}}}_{{\text{t}}}\) denotes the return on the asset in period t and m and n are the lagged orders of the autoregressive and moving average terms of the ARMA(m,n) model, respectively.

Referring to Bollerslev ( 1986 ), we use the generalized autoregressive conditional heteroskedasticity model GARCH(p,q) to estimate the conditional variance of the return series:

where \({\sigma }_{t}^{2}\) denotes conditional variance \(, {\varepsilon }_{t}^{2}\) is a disturbance term, and q and p are the lag order of \({\varepsilon }_{t}^{2}\) and autoregressive order of \({\sigma }_{t}^{2}\) , respectively.

Measurement of uncertainties

Referring to Ji et al. ( 2019a , b ), we classify the uncertainties that may influence cryptocurrency markets into four categories: climate, policy, global financial, and investment substitution uncertainties. For climate risk (CLM), “climate change,” “climate risk,” and “global warming” are selected as keywords to construct Google Search Volume Index (GSVI). Second, the logarithm of the GSVI at each time point is subtracted from the logarithm of the median GSVI of the previous 60 days to calculate the abnormal GSVI (AGSVI) to represent climate uncertainty. The median of the selected longer time window captures the normal level of GSVI (DA et al. 2011 ), and the AGSVI constructed based on this can provide a more direct indication of additional concerns from the internet (Zhang et al. 2021 ). For policy uncertainty, the US economic policy uncertainty index—EPU—is chosen as a proxy. For global financial uncertainty, we consider international capital market risk and financial risk. The S&P 500 panic index (VIX) measures the international capital market risk. Additionally, the global financial stress index (OFR FSI is chosen as a measure of financial risk. For investment substitution uncertainty, we consider the following four market aspects: oil risk (OVX), gold risk (GVZ), exchange rate risk (DXY), and bond risk (BT). The CBOE Crude Oil Volatility Index and CBOE Gold ETF Volatility Index are used as proxies for oil risk and gold risk, respectively. For exchange rate risk (DXY), according to Garman and Klass (1980), we calculate the daily extreme volatility (RV) of the US Dollar Index to represent the exchange rate risk (DXY) using the following formula:

where h, l, o, and c represent the daily high, low, open, and closed prices, respectively. The daily RV is further converted into a percentage of daily annualized volatility using the formula \({\delta }_{t}=100\sqrt{365\times RV}\) , which reflects the USDI volatility of the exchange rate market at each time point. For the bond market index (S&P US Treasury Bond Index), here referring to Corbet (2018), we define the yield as the daily log change and calculate the five-day standard deviation as representing volatility to reflect the volatility of the bond market (BT) at each time point.

Data and descriptive statistics in cryptocurrency markets

Data on cryptocurrencies are obtained from CoinMarketCap, Footnote 2 a comprehensive source providing daily high, low, opening and closing prices, along with trading volume and market capitalization of the sampled cryptocurrencies. Price data from CoinMarketCap is calculated based on the weighted average of the prices of all exchange markets for cryptocurrencies, representing the total price of each exchange. As Koutmos ( 2018 ) demonstrated, this methodology ensures the validity of the price data used in the empirical analysis. Our analysis focuses on six large cryptocurrencies: Bitcoin (BTC), Ethereum (ETH), Binance Coin (BNB), XRP, Dogecoin (DOGE), and Litecoin (LTC), whose total market capitalization of these six cryptocurrencies exceeded 1,500 billion USD, accounting for approximately 70% of the total cryptocurrency market capitalization as of January 2, 2022. To capture the expanding diversity and quantity of cryptocurrencies since 2017, our sample period begins on July 28, 2017. This interval encompasses comprehensive data on the six selected cryptocurrencies. After aligning the sample interval with other market data, we obtain a dataset comprising 1,115 observations on cryptocurrency networks spanning July 28, 2017 to December 30, 2021.

The corresponding variable descriptions are shown in Table  1 .

The price trends, correlation figure, and descriptive statistics of the cryptocurrencies are shown in Figs.  1 and 2 and Table  2 , respectively. According to the cryptocurrency price data in Fig.  1 , there are some similarities in price trends among the various markets, which is also revealed in the correlation depiction in Fig.  2 . Among them, Bitcoin and Ethereum had the most similar price volatility characteristics between July 2017 and January 2021. Except for XRP and Litecoin, the rest of the markets experienced a relatively flat price change before January 2021. Specifically, the Binance Coin and Dogecoin prices did not change significantly. The Bitcoin and Ethereum market prices experienced some degree of slow growth and retreat from November 2017 to January 2018. Although XRP and Litecoin experienced more significant growth in November 2017 and oscillated back down from December 2017 to February 2018, the price change trends in both markets were similar. All six digital currency prices showed relatively significant growth around the node of January 2021, with greater volatility after that node.

figure 1

Daily prices of cryptocurrencies

figure 2

Cryptocurrency price correlation Note: The diagonal line shows the distribution, the lower-left panel shows the bivariate scatter plot with fitted lines, and the upper-right panel shows the correlation coefficient and significance level

Table 2 presents descriptive data for the six cryptocurrencies. During the sample period, various cryptocurrencies experienced substantial price appreciation, reflecting the volatility of cryptocurrency prices. For example, Bitcoin had a minimum price of $2,710.67 and a maximum price of $67,566.83, and Ethereum had a minimum price of $84.31 and a maximum price of $4,812.09.

Tables 3 and 4 provide the results of the descriptive statistics and correlation matrix for each market volatility (upside risk and downside risk) of cryptocurrencies at the 5% significance level, respectively. As shown in Table  3 , in terms of the mean, Dogecoin had the largest upside and downside volatility among the six virtual currencies (0.1469 and -0.1492, respectively). Bitcoin had relatively less volatility in both directions (0.0807 and -0.0803, respectively). According to the results presented in Table  4 A and B , Bitcoin had the highest volatility correlation with Ethereum at both upside and downside risk levels (0.7578 and 0.7573, respectively). This was followed by Ethereum and Litecoin (0.6765 and 0.6602, respectively). The volatility correlations between cryptocurrencies are consistent with the changes in the price trend graph.

Fig.  3 shows the correlations of extreme risks for each type of cryptocurrency. As shown in Fig.  3 , for both types of risk, BTC and ETC have the highest correlation, which corresponds to the strong price volatility correlation shown in Fig.  2 . BNB and DOGE have the lowest volatility correlation for upside and downside risks, and although they show a high correlation in price trends, the spreads of extreme risk changes in the two markets are less consistent.

figure 3

Correlation description of the upside risk and downside risk in cryptocurrency markets

Data and descriptive statistics of uncertainties

After excluding non− trading day data, a complete set of 1,115 observations is obtained, encompassing the networks that encompassed extreme risks in the cryptocurrency market and various market uncertainties. The data collection period spans from July 28, 2017 to December 30, 2021. The sample data interval covers events that had a significant impact on the stability of each market, such as the US–China trade war in 2018, the sharp decline in oil prices in 2019, the global COVID− 19 pandemic in 2020, and the subsequent global supply chain crisis in 2021. As shown in Table  5 , the crude oil market (OVX), climate shocks (CLM), and policy (EPU) had the highest volatility from a standard deviation over the mean perspective, followed by the gold market (GVZ), international capital markets (VIX), and financial markets (FSI). The exchange rate (USDI) and bonds (BT) markets are less volatile.

Empirical analysis

Connectedness network analysis in cryptocurrency markets, augmented dickey fuller (adf) and box test.

First, we established a dynamic risk spillover network for cryptocurrency markets based on TVP-VAR. According to the results of the unit root test in Table  6 , the time series of the six cryptocurrency volatilities (upside and downside risks) are all stationary at the 1% confidence level. The results of the Ljung–Box and Pierce–Box tests show that all series are significantly autocorrelated at the 1% level and that the series are not white noise series, as shown in Table  7 . Therefore, a TVP-VAR model with time-varying variances can be used to effectively model the dynamic connectivity between the two types of risks in the cryptocurrency market.

Dynamic connectedness network

Based on the daily upside and downside volatility data series of six cryptocurrencies (Bitcoin, Ethereum, Binance Coin, XRP, Dogecoin, and Litecoin) for a total of 1,115 observations from July 28, 2017 to September 20, 2022, dynamic connectivity networks of upside and downside risks based on TVP-VAR models were established. According to the HQ and SC information criteria, the lag orders of the upside and downside risk VAR models were both six, and the variance decomposition period H = 7 (i.e., seven-day forward prediction) was chosen to obtain the results.

Considering the temporal scale of our model, we consider long- and short-term risk transmission and their economic and financial implications. The static results obtained from the complete sample are more suitable for long-term risk management, whereas the dynamic results are more applicable for short-term risk management.

Static Analysis of Risk Spillover Effect

Statically, Table  8 A and B provide a complete sample analysis of the upside and downside volatility spillovers predicted for the previous seven periods. Column i represents the shock of cryptocurrency i to other currencies (TO) and row j represents the shock of cryptocurrency j to other currencies (FROM). The spillover index, TCI, is provided in the lower-right corner of the upside volatility (Panel A) and downside volatility (Panel B).

Table 8 A shows that the TCI for upside risk in the six cryptocurrency markets was 51.8%, indicating that 51.8% of the extreme risk in the cryptocurrency markets came from volatility spillovers between the respective markets, except for the individual submarkets themselves, whereas the remaining 48.2% came from shocks in the respective markets themselves. The downside risk spillover in Table  8 B provides findings consistent with those of the upside risk. First, the spillover index was 51.57% (0.23% lower than the upside risk). Second, the XRP, Dogecoin, Binance Coin, and Bitcoin markets had large directional spillovers to other markets, with all showing a net spillover effect. However, for the Ethereum and Litecoin markets, the net spillover indices were negative, indicating that these two markets were more exposed to risk spillover from the other markets (Bitcoin, Binance Coin, XRP, and Dogecoin).

In terms of the total directional connectedness from others (FROM), Ethereum received the highest spillover from others (60.1% for upside and 62.1% for downside), while Dogecoin had the lowest FROM (39.87% for upside and 38.59% for downside). This indicates that the Dogecoin market itself had a strong ability to process and obtain information, and the adjustment speed was faster after being disturbed by external market information. Dogecoin’s transaction process is based on the Scrypt algorithm, which has a faster confirmation time than Bitcoin transactions. Viewed from the total directional connectedness TO, Bitcoin was the main contributor to the remaining cryptocurrencies’ shocks, with 61.51% and 56.52% of the upside and downside spillover indexes, respectively, and with both the net directional connectedness indexes being positive. As the earliest issued cryptocurrency with the largest trading volume and market capitalization, Bitcoin’s market is more developed and has more information-processing power relative to other cryptocurrencies. It is in a dominant position in terms of risk transmission and can generate risk spillovers to other markets through changes in the market environment and information transmission. Bitcoin’s dominant role was followed by XRP, with upside and downside spillovers to others reaching 58.04% and 60.87%, respectively, showing positive net total directional connectedness. However, the Litecoin market is more influenced by other markets relative to itself, despite its small trading volume(Ji et al. 2019a ). The upside risk and downside risk spillovers were both minimal (42.93% and 39.16%, respectively) and were more subject to risk spillover from other markets.

Figure  4 shows the NPDC of the six cryptocurrency markets. The size of the nodes indicates the magnitude of the net spillover index, and the blue and yellow nodes represent markets with positive and negative net spillover indices, respectively. The arrows of the two markets point to markets with a lower spillover than another market’s spillover to them. The market with more arrows pointing toward it possesses less self-explanatory power than other markets and behaves as a net recipient of spillover effects. The thickness of the arrows represents the strength of the net pairwise risk spillover.

figure 4

Cryptocurrency directional volatility connectedness network over the full sample

As illustrated in Fig.  4 , the markets of XRP, Dogecoin, and Bitcoin are characterized by blue nodes, signifying their position as net transmitters within the network. In contrast, the Binance Coin market has undergone a notable transformation from being a net risk recipient in upward risk to assuming the role of a net risk transmitter in downward risk. The Ethereum and Litecoin markets are represented by yellow nodes, with the highest number of arrows pointing towards them in upside and downside risks, indicating that these two cryptocurrencies had weaker explanatory power relative to other currencies and were more susceptible to risk spillovers from other markets. Furthermore, as the largest yellow node in the network, the Litecoin market exhibits a negative and minimal net spillover index, indicating that it serves as a net recipient of risk spillover and has a relatively weaker explanatory power of its own. These results correspond to the spillover results for extreme cryptocurrency risks shown in Table  8 . Taking upside risk as an example, Bitcoin’s spillover index value to Ethereum alone was 17.43%, and Ethereum’s spillover index value to Bitcoin was 18.46%, indicating that there was a clear two-way risk spillover effect between the two markets, that is, Bitcoin and Ethereum, with consistent results for downside risk. Similarly, there was a significant two-way risk spillover between the Litecoin and Bitcoin markets (18.39% and 19.42%, respectively). However, there was some asymmetry in the risk spillover between Bitcoin and Litecoin (16.6% for Bitcoin to Litecoin and 9.35% for the reverse). In addition, when analysing the spillover indices of volatility between the Ethereum market and any other market, the Ethereum market showed that the risk spillover from other markets was stronger than its own risk spillover to other markets.

Dynamic Analysis of Risk Spillover Effects

Figure  5 shows how the interdependence among the six cryptocurrencies changed over time, which has been done by using the constructed TCIs, which represent the cryptocurrency extreme risks (CRYPYPVU and CRYPTOVD represent upside risk and downside risk, respectively). The two indices will be used in the second TVP-VAR-DY connectedness network as the uncertainties in cryptocurrency markets. Here, the TCI of the upside risk and downside risk had similar spillover magnitudes within the overall sample and maintained a narrow spread (i.e., they exhibited more synchronized movement overall). This result was consistent with those for both risks, as shown in Table  8 . Specifically, the total spillover index for both extreme risks increased sharply in response to an extreme global event. After the COVID-19 pandemic outbreak in 2020, the overall exposure across markets showed a rapid expansion trend, with the TCI growing to 80%.

figure 5

Dynamic total connectedness index of cryptocurrency upside and downside risk networks based on a TVP-VAR model

Figure  6 shows the net pairwise transmission of the cryptocurrency market, illustrating the number of sequences that dominate the other sequences in the network. The number of other markets dominated by Bitcoin, XRP, and Dogecoin was higher throughout the entire sample period, while quantitatively, the dominant role of the Litecoin market in other markets was weaker. Binance Coin had a certain variation for risk transmission to other markets in the interval—specifically, the dominant role was stronger between September 2019 and January 2021 up to five sequences. During the remaining period, the XRP market played a weaker role in risk transmission to other markets.

figure 6

Net pairwise transmission (NPT) in cryptocurrency markets Note: This figure summarizes the net transmission mechanisms for each series. The cryptocurrency market risk spillover network comprises six series, each of which dominates up to five

Connectedness network analysis of the cryptocurrency market and other uncertainties

Time-varying volatility characteristics of each market.

Excluding non-trading daily data, a total of 1,115 observations were obtained for the period of July 28, 2017, to December 30, 2021. Figure  7 presents a time trend graph of the volatility for each market.

figure 7

Dynamic volatility of each market

Figure  7 shows some similarities in the volatility characteristics between the various markets. The volatility characteristics of the cryptocurrency market were relatively similar to the financial market (FSI) and international capital market (VIX), and the cryptocurrency market was somewhat like the gold market (GVZ) and crude oil market (OVX). In addition, each market had more dramatic volatility (spikes and plunges) after the COVID-19 outbreak in 2020, reflecting its impact of the COVID-19 outbreak on the stability of each market.

Table 9 presents the results of the descriptive statistics and correlation matrix for each market volatility. The cryptocurrency market had the highest correlation (0.93) for upside risk and downside risk because of the calculation method. The volatility correlation between the international capital market (VIX) and financial market (FSI) was significant at 0.74. In addition, the volatility correlation between the financial market (FSI), crude oil market (OVX) and gold market (GVZ) was significant. For the cryptocurrency market, its volatility was highly correlated with the volatility of the bond market (BT), and the fluctuations were strongly influenced by climate change, with a negative relationship with the volatility of the financial market (FSI) and international capital market (VIX).

ADF and box test

All series were stationary at the 5% confidence level, according to the ADF test (Table  10 ). The Ljung–Box and Pierce–Box test results show that all series were significantly autocorrelated at the 1% level, and the series were not white noise. Table 11 presents the autocorrelation test results. The sequences were all stationary and could be modelled using a TVP-VAR model with time-varying variances (TVP-VAR).

Dynamic connectedness network analysis

A total of 1115 observations of cryptocurrency market extreme risk volatility (upside and downside) with daily volatility data series of climate shocks and other uncertainties from the trading days of July 28, 2017 to December 30, 2021 were included in the analysis to build a dynamic connectedness network based on the TVP-VAR model.

Static Analysis of Risk Spillover Effects

As shown in Table  12 , the results of static connectedness suggested that the TCI for all markets was 43.25%. In addition to each variable itself, 43.25% of the overall market’s risk came from the spillover effect between each individual market. Among them, cryptocurrency upside risk and downside risk showed positive net total directional connectedness (4.14% and 0.05%, respectively), with the dominant effect of upside risk being stronger than the downside risk. Overall, the climate risk exhibited a net spillover effect. In addition, four markets—finance, international capital, crude oil, and gold—had large outward spillovers and showed net total directional connectedness (15.02%, 8.21%, 3.55%, and 0.29%, respectively). For the three uncertainties—policy, exchange rate, and bonds—the impact of the shocks on the other markets was weak, and the net spillover index was negative (− 5.23%, − 5.3%, and − 23.48%, respectively).

According to Table  12 , the total directional connectedness FROM others indicates that financial markets were exposed to the largest risk spillover (56.24%) and that climate shocks were affected by the smallest risk spillover (20.92%) of the whole interval. The larger the FROM value, the slower the price adjustment to the deviations from the expected market value after being disturbed by external market information, indicating that the market itself had a relatively weak capacity to acquire and process information. From the total directional connectedness TO others, the financial market (71.26%) and international capital market (60.25%) had the strongest risk spillover effects, indicating that these two markets were strongly correlated with the global economic cycle and could generate risk spillover to other markets through changes in the economic environment.

Figure  8 represents the pairwise directional volatility connectedness network. Based on the color and size of the nodes, the bond, exchange rate, and policy market nodes are characterized by yellow, denoting their status as net risk recipients within the network. Among these, the bond market has the largest node size, indicating a relatively weak explanatory power. Conversely, the uncertainty nodes of other markets are represented in blue, signifying their roles as net risk transmitters in the network. Notably, the financial market displays the highest net spillover index and possesses the largest node size. In addition, most arrows point towards policy factors, exchange rate markets, and bond markets. These three markets had weaker explanatory strengths relative to other markets and were more susceptible to risk spillovers from other markets. For the cryptocurrency market, the volatility of both the upside and downside risks pointed to policy factors: the exchange rate, bond, and gold markets. However, downside risk had greater spillover to the gold market, with the downside risk of unsupported cryptocurrency prices affecting the volatility of the gold market more. The NPDC of climate shocks to downside risk in the cryptocurrency market was greater, with the arrow pointing to the cryptocurrency market, indicating the dominance of climate risk in the risk transmission between the two markets, and the more significant impact of climate shocks on cryptocurrency price declined.

figure 8

Directional volatility connectedness network over the full sample (threshold = 0.01) Note: The blue nodes represent markets with positive net spillover indices, indicating their role as net risk transmitters. The yellow nodes represent markets with negative net spillover indices, indicating their role as net risk recipients. The node size reflects the magnitude of the absolute value of the net spillover index. The arrows of the two markets point to markets with a lower spillover than another market’s spillover to them. A market with more arrows pointing toward it possesses less self-explanatory power than other markets and behaves as a net recipient of spillover effects. The thickness of the arrows represents the strength of net pairwise risk spillovers

Figure  9 shows the risk spillovers “FROM” other markets and “TO” other markets for cryptocurrency upside risks and cryptocurrency downside risks. Figure  10 shows the risk spillovers from climate risk “TO” other markets. For the cryptocurrency market, the total directional connectedness from others for upside risk and downside risk reached 48.52% and 51.15%, respectively, and the risk spillover to others reached 52.66% and 51.19%, respectively. The directional connectedness in both directions (FROM and TO) ranked in the middle of each market, and the influence of the cryptocurrency’s upside and downside risks on the analyzed network were both positive (4.14% and 0.05%, respectively). First, regarding upside risk, the cryptocurrency market was the most sensitive to changes in climate risk volatility (2.1%), followed by the financial and international capital markets (1.31% and 1.31%, respectively), except for downside risk. The cryptocurrency market was relatively less sensitive to changes in exchange rate volatility and policy factors (1.05% and 1.09% for spill-in risk, respectively). In terms of risk spillover TO, the cryptocurrency market had the highest intensity of risk spillover to the bond market (3.2%), reflecting the fact that the cryptocurrency market affected the volatility of the bond market to some extent. For the cryptocurrency market downside risk, the directional connectedness results were consistent with the upside risk. It is also notable that the downside risk was subject to a larger risk spillover from the crude oil market (1.57%), and the volatility of the crude oil market affected the cryptocurrency market price’s downside risk to a greater extent.

figure 9

Risk spillover “FROM” and “TO” others for upside risks CRYPTOVU and downside risks CRYPTOVD Note: This figure shows the risk spillover FROM and TO other markets in the network for the cryptocurrency markets’ upside and downside risks, excluding the cryptocurrency markets themselves. The first and second columns present the risk spillovers from other markets for cryptocurrency upside and downside risks, respectively. The third and fourth columns present the risk spillovers to other markets for cryptocurrency upside and downside risks, respectively

figure 10

Risk spillover from climate risks “TO” other markets Note: This figure shows risk spillovers from climate risk to other markets

As shown in Figs.  9 and 10 , there was an exposure correlation between cryptocurrency markets and climate risk but with slight differences in both directions of cryptocurrency market upside risk and downside risk. Specifically, the risk spillover from climate risk to downside risk (2.83%) was slightly higher than the shock to upside risk (2.1%), and the risk transmission from climate shocks to the cryptocurrency market downside risks (i.e., unsupported declines) was stronger than the risk transmission to cryptocurrency market upside risks (i.e., uncertain increases). In terms of the intensity of risk spillovers from climate risk to other markets, as shown in Fig.  10 , climate shocks had the largest spillover effects on policy uncertainty, as well as exchange rate markets (3.72% and 3.48%, respectively), which may be interpreted as climate risk generating risk transmission to other markets through its impacts on investor attention and policy changes. Climate risk also affected the bond, gold, and cryptocurrency market downside risk, as well as the cryptocurrency market upside and crude oil market volatility to a great extent. In contrast, climate shocks have a relatively low risk correlation with financial and international capital markets. The corresponding strength of total directional connectedness from others (FROM) reflects the sensitivity of climate risk to volatility in other markets. In addition to the risk spillover from policy uncertainty (3.26%), climate risk was also more sensitive to volatility in the crude oil market uncertainty (2.91%). The volatility of the crude oil market, on the one hand, affected public expectations and concerns about climate change; on the other hand, the large amount of greenhouse gases generated by energy-related economic activities had a direct impact on climate change. In this study, climate risk was also affected by gold market volatility, which bore a risk spillover intensity of 2.74%.

When examining the strength of risk spillovers between the various submarkets, the financial and international capital markets exhibited high risk connectedness, with the two taking each other’s risk spillover, accounting for approximately 50% of their total risk spillover based on the analyzed network. Moreover, the financial and gold markets were more sensitive to each other’s volatility changes, and the intensity of the risk premium from each other’s market was 12.24% and 10.09%, respectively. The risk spillover was somewhat asymmetric, and the risk spillover from the financial market to the gold market was greater (more than 2.15%). As gold tends to be regarded as a common liquidity reserve and hedge asset, when the stock market was more volatile, the flow of funds into the gold market to the hedge increased, and there was a stronger risk spillover between the two markets. In addition, the risk connectedness between the financial market and crude oil market was also greater and slightly lower than that of the gold market, and the strength of the risk spillover that the two markets bore from one another was 10.53% and 8.23%, respectively. Specifically, the strength of risk spillovers from financial market uncertainty to policy uncertainty, exchange rate market uncertainty, and bond market uncertainty was higher (3.92%, 3.41%, and 6.28%, respectively), while the strength of risk spillovers from policy uncertainty, exchange rate market uncertainty and bond market uncertainty to financial market uncertainty was smaller (1.61%, 2.22%, and 1.22%, respectively). The risk spillover effects of international capital market uncertainty on policy uncertainty, exchange rate market uncertainty, and bond market uncertainty corresponded to those of the financial markets. Policy uncertainty, exchange rate market uncertainty and bond market uncertainty were reflected as being mainly influenced by the financial market and the international capital market in the process of risk transmission, bearing more information shocks from the external market.

Time-Varying Fluctuation Spillover Effect Analysis

Because a static spillover analysis entails the value obtained by averaging the spillover indices over the entire interval, it is difficult to reflect the fluctuations and changes in different phases. Furthermore, the time-varying volatility analysis of the risk spillover effects was more applicable to risk management over shorter periods. According to the TCI shown in Fig.  11 , the total spillover effects of the overall market varied in a range of 30% to 50% from July 2017 to January 2020. On January 30, 2020, the World Health Organization (WHO) issued the highest-level alert, officially declaring COVID-19 as a public health emergency of international concern (PHEIC). The TCI increased significantly under the impact of the extreme event, showing a surge from January 2020 to March 2020 and a peak of 78.41% during this period on March 9, 2020.

figure 11

Dynamics of the total connectedness index of the markets based on the TVP-VAR model

From March 2020 to September 2020, the total risk connectedness showed an oscillating downward trend, with some fluctuations, but an overall downward trend. In this phase of relatively stable global economic, political, and COVID-19 pandemic normalization, investors’ risk aversion decreased and risk spillovers gradually fell. The index has maintained a smaller rate of change since October 2020, largely fluctuating in the 30%–50% range. During this period, cryptocurrency, crude oil and financial markets were affected by real economic shock events, climate change actions, etc., and the overall market showed ups and downs. In August 2021, the surge in cryptocurrency prices prompted global regulators to intensify regulatory pressure on the cryptocurrency market; however, cross-continent regulatory collaboration was limited. In the same month, the COVID-19 Delta variant broke out in emerging markets with low vaccination rates, disrupting production and supply chains. In October 2021, US crude oil and natural gas prices surged, with crude oil closing above $80 per barrel for the first time. A climate change agreement was signed at the United Nations Climate Summit (COP26) on November 13, 2021. More than 190 countries worldwide have agreed to strengthen their carbon emissions reduction targets, making progress in global climate governance. However, there was a small increase in the index in November 2021, from approximately 40% on November 23, 2021 to approximately 60% on November 26, 2021. The surge in total volatility spillovers corresponded to the global panic over the designation of Omicron, a new variant of the coronavirus, as a global “variant of concern” by the WHO on November 26, 2021. Yields in the stock, oil, and bond markets plunged and cryptocurrency markets were trending lower as investors sought shelter from shocks.

Dynamic directional spillover indices have been used to study the temporal characteristics of directional spillover between various markets, as shown in Fig.  12 A and B . Among these, Fig.  12 A represents the dynamic spillover effects of each market FROM others, and Fig.  12 B represents the dynamic spillover effects of each market TO others. Generally, markets with lower exposure to risk spillovers were more dominant in the risk transmission process and had higher risk spillovers to other markets. After the COVID-19 pandemic outbreak in 2020, the level of risk spillover exposure of various markets, such as the crude oil market, increased dramatically from February 2020, and the shock of extreme events led to an expansionary trend in the overall risk exposure of various markets. After March 2020, the global pandemic was brought under control to some extent, and the level of risk spillover in each market diminished. Concerns about health and global health policies may further evolve into concerns about health and environmental climate policies, with climate governance-related biodiversity and low pollution playing key roles in infectious pandemics.

figure 12

A Dynamics of total directional connectedness “FROM” other markets B Dynamics of total directional connectedness “TO” other markets

Figure  13 presents the dynamics of directional net connectedness (NET) across markets with variability in the risk transmission active–passive scenario across markets. For the cryptocurrency market, the net spillover index of the upside and downside risks fluctuated alternately (positively and negatively) throughout the interval, reflecting the time-varying characteristics of risk spillovers in both directions in the cryptocurrency market. The fluctuations in upside risk and downside risk were more consistent, maintaining a relatively small spread. However, in the interval from February 2018 to May 2018, the cryptocurrency downside risk was more sensitive to fluctuations in other markets, and the net total directional connectedness was negative. In addition, the cryptocurrency market downside risk was largely positive in the interval from August 2020 to August 2021, with a net risk spillover.

figure 13

Dynamics of directional net connectedness (NET) across markets

For climate risk, the level of net risk spillover from climate risk was largely above the axis until 2020, while in the interval from February 2020 to June 2020, climate risk was subject to greater risk spillover from other markets than from other markets. The impact of global extreme events led to dramatic effects on markets such as equities, crude oil, and bonds, with increased overall intermarket volatility and a negative level of net spillover from climate risk.

Throughout the sample period, the net spillover indices of the financial, international capital, and crude oil markets were predominantly positive, indicating that the spillover effects of these three markets on other markets were greater than those brought by other markets, with the three markets mainly acting as transmitters of risk spillover. In contrast, policy factors, exchange rate markets, and bond markets showed a net risk spillover effect during the overall sample period, all in a passive position of risk transmission. Finally, the gold market showed alternating positive and negative fluctuations, but the interval in the net spillover level accounted for more than 50% of the full sample interval, and the average level mainly showed the market characteristics of the risk-dominant factor.

Directional Spillover of volatility spillover between markets

Figure  14 illustrates climate risk spillovers to other markets from July 28, 2017, to December 30, 2022. The risk spillover from climate risk to other markets had time-varying characteristics. Climate change could lead to more frequent extreme events, such as floods, high temperatures and storms, which often have a large impact on a region in a short period of time. Coupled with slow environmental changes, such as sea level rise in the long term, climate change would have a significant impact on global economic life in the short and long terms, especially in countries and regions with high vulnerability to climate change. Climate risk would impact on all sectors and economies, which would be further transmitted to various markets and even global financial markets. The high level of risk spillover from climate risk to exchange rate markets, bond markets, crude oil markets and policy uncertainty can be seen in Fig.  13 . Climate-related financial risks could spill over further into the cryptocurrency market across sectors, so there is the potential for extreme weather to impact the infrastructure of cryptocurrencies. The spillover of climate risk to cryptocurrency market extremes was at a high level across the range, as shown in Fig.  14 , but the risk spillover to cryptocurrency market upside risk was slightly different from downside risk. The spillover from climate risk to the downside risk of the cryptocurrency market was more significant before 2020, reaching a peak risk spillover of 20.33 on June 8, 2018. The uncertainty impact of climate risk on the financial system poses the risk of asset price declines in the short term. Between 2020 and 2021, the cryptocurrency market upside risk is subject to more risk spillover from climate risk, with a maximum value of 13.00 occurring on July 10, 2020.

figure 14

Climate Risks Dynamic Directional Connectedness TO Others

Figure  15 represents the NPDC between different markets, showing risk spillovers at a bilateral level. For the two markets that include the cryptocurrency market, the cryptocurrency market exhibited more of a risk-receiving position compared with the uncertainties of the financial, international capital and crude oil markets. Consistent with the analysis above, the prices of cryptocurrencies were more prone to surge and plunge with the price volatility of these markets in terms of oscillatory changes. Relative to the exchange rate, gold market and bond market, the cryptocurrency market exhibited more as a transmitter of volatility spillovers. It is worth noting that spillovers between cryptocurrency markets, financial markets and international capital markets rose significantly between 2020 and 2021 compared with 2017 and 2019, indicating the growing linkages and spillover effects between cryptocurrency markets and equity markets. The cryptocurrency market was no longer seen as a marginal market in the overall system, and the rise in risk transmission with other markets posed a greater uncertainty factor for the stability of the overall market. The dynamic results of the pairwise directional connectedness in Fig.  15 shows that there was a difference in the directional connectedness of climate risk to the upside and downside of extreme risk in the cryptocurrency market. Specifically, climate shocks had a slightly larger impact on downside risk than upside risk. Corresponding to the total connectedness table, the risk spillover of climatic factors to the upside of the cryptocurrency market was 2.1%, and that of the cryptocurrency market was 2.83%. The risk spillover results for the climate risk and cryptocurrency markets corresponded to each other at the overall interval-wide level and at the dynamic change level. In addition to dynamic risk spillovers to cryptocurrency market downside risk, climate risk also played a major role as a risk transmitter to policy uncertainty, bond markets, and exchange rate markets in our sample interval. This has been reflected by the weak information processing capacity of these markets themselves and their vulnerability to external risk contagion, showing the vulnerability of the stability of these markets to climate risks such as extreme weather events and the uncertainty of low-carbon transition.

figure 15

Dynamic net pairwise directional connectedness (NPDC) Note: At the bilateral level, the net pairwise directional connectedness measure (NPDC) captured the comparison of the magnitude of impact between the two markets. For the market i–market j plot, when the NPDC is above the horizontal axis, market i has a stronger influence on market j, and the former has a higher level of risk spillover than the latter

Robustness tests

Tvp-var and var connectedness networks.

Referring to Antonakakis et al. ( 2020 ), we first construct a connectedness network for the upward risk of cryptocurrencies using the traditional sliding-window VAR model, following the methodology of Diebold and Yilmaz ( 2012 ). Three different window sizes are chosen, namely 100, 150, and 200 days, to establish the models and compare their results with those of the TVP-VAR model. A comparison between the VAR model results with the sliding window and the TVP-VAR model results is shown in Fig.  16 . As shown in Fig.  16 , the TCI of the networks constructed using the four different models exhibited a certain level of consistency in terms of overall trends and magnitudes. Moreover, in 2020, the VAR model with a sliding window displayed a lower frequency of variations and larger fluctuations in the TCI than the TVP-VAR model. This can be attributed to the substantial impact of extreme events on the cryptocurrency market in 2020, which may have reduced the effectiveness of the sliding-window VAR model. In the other periods within the sample, the results of the four models were consistent.

figure 16

Dynamic total connectedness index of cryptocurrency upside risk network based on a TVP-VAR model and three VAR models. Note: The black line corresponds to the total connectedness index of the upward cryptocurrency risk network established based on the TVP-VAR model in Fig.  5 . The other three lines represent the total connectedness index of the upward risk network of cryptocurrencies established using the traditional sliding-window VAR model with window widths of 50, 150, and 200, respectively

TVP-VAR and VAR connectedness networks using different forecast steps

Next, we construct an upward risk network for cryptocurrencies based on the TVP-VAR-DY model. We introduce a modification by adjusting the forward forecasting horizon and selecting H-steps = 10, 15, and 30, representing forecasting periods of 15, 30, and 60 days, respectively, to establish a connectedness network. A comparison between the obtained dynamic results and the original TVP-VAR model, which results in a forecasting horizon of seven days, is shown in Fig.  17 . The dynamic changes in the TCI for different forecasting horizons exhibit consistency, with minimal differences observed among the indices. This demonstrates the robustness of the model.

figure 17

Dynamic total connectedness index of cryptocurrency upside risk network based on a TVP-VAR model and three VAR models. Note: The black line corresponds to the total connectedness index of the upward risk network of cryptocurrencies established based on the TVP-VAR model with a forward forecasting horizon of seven days, as shown in Fig.  5 . The other three lines represent the total connectedness index of the upward risk network of cryptocurrencies established using the TVP-VAR model with forward forecasting horizons of 10, 15, and 30 days

In this study, we first measured the extreme risks (upside risks and downside risks) of six different cryptocurrencies using the VaR method. Subsequently, extreme spillover networks for cryptocurrency markets upside and downside risks were constructed employing the TVP-VAR-DY method, with the overall extreme risk of the cryptocurrency markets measured by the connectedness indexes in the networks. Then, the second TVP-VAR-DY spillover network was built to examine the risk spillover of cryptocurrency markets’ extreme risks and other uncertainties. By considering climate risk as a new uncertainty, along with uncertainties in economic policy and financial markets, some key findings were uncovered. First, the six cryptocurrencies examined exhibited interconnectedness, with more than 50% of extreme risk stemming from volatility spillovers across markets. Specifically, Bitcoin, Binance Coin, XRP and Dogecoin markets displayed a prominent external spillover effect, assuming a dominant role as transmitters within the cryptocurrency system. Second, in the second spillover network, the overall financial market uncertainty and uncertainties of international capital, crude oil, and gold markets acted as risk transmitters, while policy uncertainty and uncertainties of exchange rates and bond markets acted as risk receivers. Notably, climate shocks emerged as an overall risk transmitter, displaying a greater risk spillover to downside than upside risks. Moreover, the spillover effect of the cryptocurrency market from other markets increased significantly during 2020–2021 compared with 2017–2019. Extreme global events (e.g., COVID-19) exerted a significant impact on the risk spillover network within the cryptocurrency market and between the cryptocurrency market and uncertainties of other markets.

Based on the research findings, several policy implications can be drawn, highlighting the importance of proactive risk management, comprehensive regulatory frameworks, climate risk assessment and crisis preparedness to uphold the stability and resilience of the cryptocurrency market. First, market participants should implement robust risk-diversification strategies in response to the increasing risk linkages and diminished asset diversification in cryptocurrencies. This involves diversifying investments across varied asset classes and geographical regions to reduce reliance on a single cryptocurrency. Furthermore, given the observed interconnectedness and risk spillovers observed in the cryptocurrency market, it is crucial for governments and regulatory bodies to establish comprehensive regulatory frameworks. These frameworks should consider the links and potential risks associated with cryptocurrencies and include effective oversight and risk mitigation measures. International regulatory coordination is recommended to address the cross-border nature of cryptocurrencies and minimize the risk transmission from the cryptocurrency market to the broader financial system. Moreover, our research emphasizes the role of climate risk as a significant transmitter of overall risk in the cryptocurrency market, particularly concerning downside risks. Policymakers should closely monitor climate-related events and their impacts on cryptocurrency prices. Integrating climate risk assessment and monitoring mechanisms into regulatory frameworks can provide valuable insights for risk management and ensure the resilience of the cryptocurrency market. Additionally, policymakers should develop contingency plans and stress-testing mechanisms to evaluate the market’s resilience during extreme global events, such as the COVID-19 pandemic, which includes assessing the effectiveness of risk management tools and ensuring sufficient liquidity to mitigate potential systemic risks.

The present paper acknowledges several limitations that can be addressed in future research. Although the TVP-VAR model exhibits the capability to capture the time-varying characteristics of vectors, in contrast to the traditional VAR model, it is not exempt from its own inherent limitations. The TVP-VAR model assumes that parameter changes occur in every period, which often leads to an underestimation of the error covariance matrix in the estimated state equation and, consequently, a closer proximity among the various state values. Regarding risk measurement, this study employed a widely used VaR method. Future research could explore alternative risk measurement methods, such as the expected shortfall (ES) method, marginal and systemic expected shortfall (MES), parametric generalized Pareto distribution (GPD), the skewed generalized error distribution (SGED), and nonparametric estimation. Additionally, future studies could consider utilizing higher-frequency intraday data to investigate the intraday risk spillover and connectedness between the cryptocurrency market and various sources of uncertainty. This approach would provide valuable insights into the dynamics of risk transmission and connectedness in the cryptocurrency market throughout the trading period.

Availability of data and materials

The authors confirm that datasets used and analyzed during the current study will be made available on reasonable request.

UN Climate Change Conference UK 2021  https://ukcop26.org/ , accessed 20 June 20, 2023.

http://coinmarketcap.com

Abbreviations

The directional total connectedness from others

The net directional total connectedness

The net pairwise directional connectedness

Total connectedness index

The directional total connectedness to others

Time-varying parameters Vector-autoregressive model

Value-at-Risk

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Acknowledgements

The authors are grateful to Daojuan Wang, associate professor of Aalborg University ([email protected]) for her helpful discussions and comments on this work.

The authors would like to thank the support of a financial grant from the National Natural Science Foundation of China No. 72348003, 72022020, 71974159, 71974181, the Fundamental Research Funds for the Central Universities and MOE Social Science Laboratory of Digital Economic Forecasts and Policy Simulation at UCAS.

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Guo, K., Kang, Y., Ji, Q. et al. Cryptocurrencies under climate shocks: a dynamic network analysis of extreme risk spillovers. Financ Innov 10 , 54 (2024). https://doi.org/10.1186/s40854-023-00579-y

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This chapter highlights the swift expansion of digital payments, with China leading in cumulative transaction value and India’s Unified Payment Interface (UPI) changing the nation's payment landscape. Central Bank Digital Currencies (CBDCs) have appeared as a global trend, with different issuance models and numerous countries vigorously exploring or launching their CBDCs. Additionally, this chapter explores the multifaceted effects of digital currencies. These digital currencies aim to improve financial system efficiency and secure transactions. The impact on financial stability is a crucial consideration, as CBDCs offer central banks new tools for managing monetary policy and systemic risk, compelling careful regulation. Digital currency, encompassing CBDCs and cryptocurrencies, also holds promise for financial inclusion by providing accessible financial services and addressing barriers to both demand and supply. Furthermore, digital currency simplifies international trade, benefiting small and medium-sized enterprises and reducing currency exchange risks.

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