Radwanski, Juliusz (2021): The Equilibrium Value of Bitcoin.
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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.
Item Type: | MPRA Paper |
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Original Title: | The Equilibrium Value of Bitcoin |
English Title: | The Equilibrium Value of Bitcoin |
Language: | English |
Keywords: | Bitcoin, cryptocurrency, equilibrium, expectations, money, sunspots. |
Subjects: | E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates > E40 - General E - Macroeconomics and Monetary Economics > E5 - Monetary Policy, Central Banking, and the Supply of Money and Credit > E50 - General G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing ; Trading Volume ; Bond Interest Rates |
Item ID: | 110746 |
Depositing User: | Dr. Juliusz Radwanski |
Date Deposited: | 25 Nov 2021 14:23 |
Last Modified: | 25 Nov 2021 14:23 |
References: | Altug, Sumru and Pamela Labadie (2008), Asset pricing for dynamic economies. Cambridge University Press. Aoyagi, Jun and Takahiro Hattori (2019), The empirical analysis of bitcoin market in the general equilibrium framework. http://dx.doi.org/10.2139/ssrn.3433833. Bariviera, Aurelio F, Maria Josse Basgall, Waldo Hasperue, and Marcelo Naiouf (2017), Some stylized facts of the bitcoin market. Physica A: Statistical Mechanics and its Applications, 484, 82-90. Benigno, Pierpaolo, Linda M Schilling, and Harald Uhlig (2019), Cryptocurrencies, currency competition, and the impossible trinity. Technical report, National Bureau of Economic Research. Berge, Claude (1963), Topological spaces. Oliver and Boyd. Bhambhwani, Siddharth, Stefanos Delikouras, and George M. Korniotis (2019), Do fundamentals drive cryptocurrency prices? Biais, Bruno, Christophe Bisiere, Matthieu Bouvard, Catherine Casamatta, and Albert J. Menkveld (2020), Equilibrium bitcoin pricing. http://dx.doi.org/10.2139/ssrn.3261063. Boud, John H. III (1990), Recursive utility and the Ramsey problem. Journal of Economic Theory, 50, 326-345. Brock, William A. (1974), Money and growth: The case of long run perfect foresight. International Economic Review, 750-777. Cheah, Eng-Tuck and John Fry (2015), Speculative bubbles in bitcoin markets? An empirical investigation into the fundamental value of bitcoin. Economics Letters, 130, 32-36. Choi, Michael and Guillaume Rocheteau (2020), More on money mining and price dynamics: Competing and divisible currencies. http://dx.doi.org/10.2139/ssrn.3632646. Choi, Michael and Guillaume Rocheteau (2021), Money mining and price dynamics. American Economic Journal: Macroeconomics, 13, 246-94. Corbet, Shaen, Brian Lucey, and Larisa Yarovaya (2018), Datestamping the bitcoin and Ethereum bubbles. Finance Research Letters, 26, 81-88. Fernandez-Villaverde, Jesus and Daniel Sanches (2019), Can currency competition work? Journal of Monetary Economics, 106, 1-15. Fisher, Irving (1911), The purchasing power of money. Macmillan. Assisted by H.G. Brown. Fry, John (2018), Booms, busts and heavy-tails: The story of bitcoin and cryptocurrency markets? Economics Letters, 171, 225-229. Garratt, Rodney and NeilWallace (2018), Bitcoin 1, bitcoin 2,....: An experiment in privately issued outside monies. Economic Inquiry, 56, 1887-1897. Hahn, Frank H. (1965), On some problems of proving the existence of an equilibrium in a monetary economy. Macmillan. Hicks, John R. (1935), A suggestion for simplifying the theory of money. Economica, 2, 1-19. Kang, Kee-Youn and Seungduck Lee (2019), Money, cryptocurrency, and monetary policy. http://dx.doi.org/10.2139/ssrn.3303595. Kiyotaki, Nobuhiro and Randall Wright (1989), On money as a medium of exchange. Journal of Political Economy, 97, 927-954. Kocherlakota, Narayana R. (1998), Money is memory. Journal of Economic Theory, 81, 232-251. Lagos, Ricardo, Guillaume Rocheteau, and Randall Wright (2017), Liquidity: A new monetarist perspective. Journal of Economic Literature, 55, 371-440. Lagos, Ricardo and Randall Wright (2005), A unified framework for monetary theory and policy analysis. Journal of Political Economy, 113, 463-484. Lotz, Sebastien and Francoise Vasselin (2019), A new monetarist model of fiat and e-money." Economic Inquiry, 57, 498-514. Lucas, Robert E. (1978), Asset prices in an exchange economy. Econometrica, 1429-1445. Lucas, Robert E. (1980), Equilibrium in a pure currency economy. Economic Inquiry, 18, 203-220. Pagnotta, Emiliano and Andrea Buraschi (2018), An equilibrium valuation of bitcoin and decentralized network assets. http://dx.doi.org/10.2139/ssrn.3142022. Patinkin, Don (1965), Money, interest, and prices; an integration of monetary and value theory. Radwanski, Juliusz F. (2021), The purchasing power of money in an exchange economy. http://dx.doi.org/10.2139/ssrn.3729256. Saleh, Fahad (2019), Volatility and welfare in a crypto economy. http://dx.doi.org/10.2139/ssrn.3235467. Samuelson, Paul A. (1958), An exact consumption-loan model of interest with or without the social contrivance of money. Journal of Political Economy, 66, 467-482. Schilling, Linda and Harald Uhlig (2019), Some simple bitcoin economics. Journal of Monetary Economics, 106, 16-26. Shi, Shouyong (1995), Money and prices: A model of search and bargaining. Journal of Economic Theory, 67, 467-496. Sidrauski, Miguel (1967), Rational choice and patterns of growth in a monetary economy. American Economic Review, 57, 534-544. Tirole, Jean (1985), Asset bubbles and overlapping generations. Econometrica, 1499-1528. Tobin, James (1980), Discussion. In: Models of Monetary Economies (Kareken J. H. and Wallace N., eds.), Federal Reserve Bank of Minneapolis. Townsend, Robert M. (1980), Models of money with spatially separated agents. In: Models of Monetary Economies (Kareken J. H. and Wallace N., eds.), 265-303, Federal Reserve Bank of Minneapolis. Trejos, Alberto and Randall Wright (1995), Search, bargaining, money, and prices. Journal of Political Economy, 103, 118-141. Wallace, Neil (1980), The overlapping generations model of fiat money. In: Models of Monetary Economies (Kareken J. H. and Wallace N., eds.), 49-82, Federal Reserve Bank of Minneapolis. Williamson, Stephen and Randall Wright (2010), New monetarist economics: Models. In: Handbook of Monetary Economics, volume 3, 25-96, Elsevier. Yu, Zhixiu (2021), On the coexistence of cryptocurrency and fiat money. http://dx.doi.org/10.2139/ssrn.3776097. Zhu, Yu and Scott Hendry (2018), A framework for analyzing monetary policy in an economy with e-money. http://dx.doi.org/10.2139/ssrn.3318915. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/110746 |