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The Equilibrium Value of Bitcoin

Author

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  • Radwanski, Juliusz

Abstract

Can the value of a cryptocurrency be uniquely determined by the fundamentals, such as the rule for money growth implicit in the design of the protocol? To answer this question, we construct a recursive asset-pricing model for a single fiat cryptocurrency, similar to actual Bitcoin. We think of our model as an ideal laboratory, in which equilibria correspond to model solutions that can generate actual data. Our approach stresses the role of the value function as an object of rational choice and hence rests on solid micro-foundations. By imposing enough economically motivated restrictions on that choice, we are able to pin down unique equilibrium and hence demonstrate that the value of our cryptocurrency is immune to self-fulfilling expectations. This result depends only on the design of the cryptocurrency protocol.

Suggested Citation

  • Radwanski, Juliusz, 2021. "The Equilibrium Value of Bitcoin," MPRA Paper 110746, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:110746
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    References listed on IDEAS

    as
    1. Schilling, Linda & Uhlig, Harald, 2019. "Some simple bitcoin economics," Journal of Monetary Economics, Elsevier, vol. 106(C), pages 16-26.
    2. Michael Choi & Guillaume Rocheteau, 2021. "Money Mining and Price Dynamics," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(4), pages 246-294, October.
    3. Bruno Biais & Christophe Bisière & Matthieu Bouvard & Catherine Casamatta & Albert J. Menkveld, 2023. "Equilibrium Bitcoin Pricing," Journal of Finance, American Finance Association, vol. 78(2), pages 967-1014, April.
    4. Fernández-Villaverde, Jesús & Sanches, Daniel, 2019. "Can currency competition work?," Journal of Monetary Economics, Elsevier, vol. 106(C), pages 1-15.
    5. Ricardo Lagos & Randall Wright, 2005. "A Unified Framework for Monetary Theory and Policy Analysis," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 463-484, June.
    6. Altug,Sumru & Labadie,Pamela, 2008. "Asset Pricing for Dynamic Economies," Cambridge Books, Cambridge University Press, number 9780521875851, January.
    7. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66(6), pages 467-467.
    8. Corbet, Shaen & Lucey, Brian & Yarovaya, Larisa, 2018. "Datestamping the Bitcoin and Ethereum bubbles," Finance Research Letters, Elsevier, vol. 26(C), pages 81-88.
    9. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
    10. Fry, John, 2018. "Booms, busts and heavy-tails: The story of Bitcoin and cryptocurrency markets?," Economics Letters, Elsevier, vol. 171(C), pages 225-229.
    11. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
    12. Sébastien Lotz & Françoise Vasselin, 2019. "A New Monetarist Model Of Fiat And E‐Money," Economic Inquiry, Western Economic Association International, vol. 57(1), pages 498-514, January.
    13. Brock, William A, 1974. "Money and Growth: The Case of Long Run Perfect Foresight," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(3), pages 750-777, October.
    14. Rodney Garratt & Neil Wallace, 2018. "Bitcoin 1, Bitcoin 2, ....: An Experiment In Privately Issued Outside Monies," Economic Inquiry, Western Economic Association International, vol. 56(3), pages 1887-1897, July.
    15. Benigno, Pierpaolo & Schilling, Linda M. & Uhlig, Harald, 2022. "Cryptocurrencies, currency competition, and the impossible trinity," Journal of International Economics, Elsevier, vol. 136(C).
    16. Williamson, Stephen & Wright, Randall, 2010. "New Monetarist Economics: Models," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 2, pages 25-96, Elsevier.
    17. Radwanski, Juliusz, 2020. "On the Purchasing Power of Money in an Exchange Economy," MPRA Paper 104244, University Library of Munich, Germany.
    18. Lucas, Robert E, Jr, 1980. "Equilibrium in a Pure Currency Economy," Economic Inquiry, Western Economic Association International, vol. 18(2), pages 203-220, April.
    19. Zhixiu Yu, 2023. "On the Coexistence of Cryptocurrency and Fiat Money," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 49, pages 147-180, July.
    20. Kocherlakota, Narayana R., 1998. "Money Is Memory," Journal of Economic Theory, Elsevier, vol. 81(2), pages 232-251, August.
    21. Bariviera, Aurelio F. & Basgall, María José & Hasperué, Waldo & Naiouf, Marcelo, 2017. "Some stylized facts of the Bitcoin market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 484(C), pages 82-90.
    22. Cheah, Eng-Tuck & Fry, John, 2015. "Speculative bubbles in Bitcoin markets? An empirical investigation into the fundamental value of Bitcoin," Economics Letters, Elsevier, vol. 130(C), pages 32-36.
    23. Ricardo Lagos & Guillaume Rocheteau & Randall Wright, 2017. "Liquidity: A New Monetarist Perspective," Journal of Economic Literature, American Economic Association, vol. 55(2), pages 371-440, June.
    24. Korniotis, George & Bhambhwani, Siddharth & Delikouras, Stefanos, 2019. "Blockchain Characteristics and the Cross-Section of Cryptocurrency Returns," CEPR Discussion Papers 13724, C.E.P.R. Discussion Papers.
    25. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    26. Trejos, Alberto & Wright, Randall, 1995. "Search, Bargaining, Money, and Prices," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 118-141, February.
    27. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    28. Boud, John III, 1990. "Recursive utility and the Ramsey problem," Journal of Economic Theory, Elsevier, vol. 50(2), pages 326-345, April.
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    More about this item

    Keywords

    Bitcoin; cryptocurrency; equilibrium; expectations; money; sunspots.;
    All these keywords.

    JEL classification:

    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
    • E50 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - General
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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