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Valuing cryptocurrencies: A model of price and hashrate

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  • Johnson, William C.

Abstract

We utilize a simplified framework exploiting the technological relationship between cryptocurrency prices and network mining inputs to develop a dynamic stochastic model for the pricing of cryptocurrencies. We test the model for Bitcoin, Ethereum, Monero, and Bitcoin Cash and find support for its major implications. While prices and hashrate for proof-of-work cryptocurrencies are non-stationary, they are cointegrated as suggested by the model. Prices are consistently higher than predicted by the discounted hashrate model, suggesting fixed costs for installing hardware mining capacity ranging from $23,970 for Monero to $385,840 for Bitcoin. Our approach allows miners to make value-maximizing decisions when installing and utilizing mining hardware.

Suggested Citation

  • Johnson, William C., 2025. "Valuing cryptocurrencies: A model of price and hashrate," Finance Research Letters, Elsevier, vol. 86(PA).
  • Handle: RePEc:eee:finlet:v:86:y:2025:i:pa:s1544612325016009
    DOI: 10.1016/j.frl.2025.108346
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    References listed on IDEAS

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    1. Huang, Guan-Ying & Gau, Yin-Feng & Wu, Zhen-Xing, 2022. "Price discovery in fiat currency and cryptocurrency markets," Finance Research Letters, Elsevier, vol. 47(PA).
    2. Robert Engle & Clive Granger, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    3. Campbell, John Y & Shiller, Robert J, 1987. "Cointegration and Tests of Present Value Models," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1062-1088, October.
    4. Lashkaripour, Mohammadhossein, 2024. "Some stylized facts about bitcoin halving," Finance Research Letters, Elsevier, vol. 69(PB).
    5. Diba, Behzad T & Grossman, Herschel I, 1988. "Explosive Rational Bubbles in Stock Prices?," American Economic Review, American Economic Association, vol. 78(3), pages 520-530, June.
    6. Michael Sockin & Wei Xiong, 2023. "A Model of Cryptocurrencies," Management Science, INFORMS, vol. 69(11), pages 6684-6707, November.
    7. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    8. McMillan, David G., 2007. "Bubbles in the dividend-price ratio? Evidence from an asymmetric exponential smooth-transition model," Journal of Banking & Finance, Elsevier, vol. 31(3), pages 787-804, March.
    9. Lin William Cong & Zhiguo He & Jiasun Li & Wei Jiang, 2021. "Decentralized Mining in Centralized Pools [Concentrating on the fall of the labor share]," The Review of Financial Studies, Society for Financial Studies, vol. 34(3), pages 1191-1235.
    10. Behzad T. Diba & Herschel I. Grossman, 1984. "Rational Bubbles in the Price of Gold," NBER Working Papers 1300, National Bureau of Economic Research, Inc.
    11. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    12. Emiliano S Pagnotta, 2022. "Decentralizing Money: Bitcoin Prices and Blockchain Security," The Review of Financial Studies, Society for Financial Studies, vol. 35(2), pages 866-907.
    13. Yukun Liu & Aleh Tsyvinski, 2021. "Risks and Returns of Cryptocurrency," The Review of Financial Studies, Society for Financial Studies, vol. 34(6), pages 2689-2727.
    14. Guo, Weiwei & Intini, Silvia & Jahanshahloo, Hossein, 2025. "Bitcoin arbitrage and exchange default risk," Finance Research Letters, Elsevier, vol. 71(C).
    15. Cong, Lin William & Li, Ye & Wang, Neng, 2022. "Token-based platform finance," Journal of Financial Economics, Elsevier, vol. 144(3), pages 972-991.
    16. Pedro Bordalo & Nicola Gennaioli & Rafael La Porta & Andrei Shleifer, 2024. "Belief Overreaction and Stock Market Puzzles," Journal of Political Economy, University of Chicago Press, vol. 132(5), pages 1450-1484.
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    1. Hamoon Soleimani, 2025. "The Endogenous Constraint: Hysteresis, Stagflation, and the Structural Inhibition of Monetary Velocity in the Bitcoin Network (2016-2025)," Papers 2512.07886, arXiv.org.

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