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Zero-Knowledge Optimal Monetary Policy under Stochastic Dominance

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  • David Cerezo S'anchez

Abstract

Optimal simple rules for the monetary policy of the first stochastically dominant crypto-currency are derived in a Dynamic Stochastic General Equilibrium (DSGE) model, in order to provide optimal responses to changes in inflation, output, and other sources of uncertainty. The optimal monetary policy stochastically dominates all the previous crypto-currencies, thus the efficient portfolio is to go long on the stochastically dominant crypto-currency: a strategy-proof arbitrage featuring a higher Omega ratio with higher expected returns, inducing an investment-efficient Nash equilibrium over the crypto-market. Zero-knowledge proofs of the monetary policy are committed on the blockchain: an implementation is provided.

Suggested Citation

  • David Cerezo S'anchez, 2022. "Zero-Knowledge Optimal Monetary Policy under Stochastic Dominance," Papers 2210.06139, arXiv.org.
  • Handle: RePEc:arx:papers:2210.06139
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    References listed on IDEAS

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    1. Jordi Galí & Tommaso Monacelli, 2005. "Monetary Policy and Exchange Rate Volatility in a Small Open Economy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(3), pages 707-734.
    2. Conlon, Thomas & Corbet, Shaen & McGee, Richard J., 2021. "Inflation and cryptocurrencies revisited: A time-scale analysis," Economics Letters, Elsevier, vol. 206(C).
    3. Karau, Sören, 2021. "Monetary policy and Bitcoin," Discussion Papers 41/2021, Deutsche Bundesbank.
    4. Xu Guo & Xuejun Jiang & Wing-Keung Wong, 2017. "Stochastic Dominance and Omega Ratio: Measures to Examine Market Efficiency, Arbitrage Opportunity, and Anomaly," Economies, MDPI, vol. 5(4), pages 1-16, October.
    5. Gary Anderson, 2008. "Solving Linear Rational Expectations Models: A Horse Race," Computational Economics, Springer;Society for Computational Economics, vol. 31(2), pages 95-113, March.
    6. Neil Gandal & Hanna Halaburda, 2016. "Can We Predict the Winner in a Market with Network Effects? Competition in Cryptocurrency Market," Games, MDPI, vol. 7(3), pages 1-21, July.
    7. Barrdear, John & Kumhof, Michael, 2016. "The macroeconomics of central bank issued digital currencies," Bank of England working papers 605, Bank of England.
    8. Bennett T. McCallum & Edward Nelson, 1999. "Performance of Operational Policy Rules in an Estimated Semiclassical Structural Model," NBER Chapters, in: Monetary Policy Rules, pages 15-56, National Bureau of Economic Research, Inc.
    9. Belongia, Michael T. & Ireland, Peter N., 2022. "A reconsideration of money growth rules," Journal of Economic Dynamics and Control, Elsevier, vol. 135(C).
    10. William Poole, 1969. "Optimal choice of monetary policy instruments in a simple stochastic macro model," Special Studies Papers 2, Board of Governors of the Federal Reserve System (U.S.).
    11. Sangyup Choi & Junhyeok Shin, 2020. "Brave New World? Bitcoin is not the New Gold: Understanding Cryptocurrency Price Dynamics," Working papers 2020rwp-167, Yonsei University, Yonsei Economics Research Institute.
    12. Ireland, Peter N, 2000. "Interest Rates, Inflation, and Federal Reserve Policy since 1980," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(3), pages 417-434, August.
    13. Denuit, Michel M. & Huang, Rachel J. & Tzeng, Larry Y. & Wang, Christine W., 2014. "Almost marginal conditional stochastic dominance," Journal of Banking & Finance, Elsevier, vol. 41(C), pages 57-66.
    14. Choi, Sangyup & Shin, Junhyeok, 2022. "Bitcoin: An inflation hedge but not a safe haven," Finance Research Letters, Elsevier, vol. 46(PB).
    15. Collard, Fabrice & Dellas, Harris, 2005. "Poole in the New Keynesian model," European Economic Review, Elsevier, vol. 49(4), pages 887-907, May.
    16. Marco Patacca & Sergio Focardi, 2021. "The Quantitative Easing Bursts Bitcoin Price," Accounting and Finance Research, Sciedu Press, vol. 10(3), pages 1-65, August.
    17. Jarrow, Robert, 1986. "The Relationship between Arbitrage and First Order Stochastic Dominance," Journal of Finance, American Finance Association, vol. 41(4), pages 915-921, September.
    18. Alejandro Justiniano & Bruce Preston, 2010. "Monetary policy and uncertainty in an empirical small open-economy model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(1), pages 93-128.
    19. Levy, Haim, 1973. "Stochastic Dominance, Efficiency Criteria, and Efficient Portfolios: The Multi-Period Case," American Economic Review, American Economic Association, vol. 63(5), pages 986-994, December.
    20. Gil Cohen, 2021. "Trading Cryptocurrencies Using Second Order Stochastic Dominance," Mathematics, MDPI, vol. 9(22), pages 1-10, November.
    21. David Cerezo S'anchez, 2021. "Pravuil: Global Consensus for a United World," Papers 2105.10464, arXiv.org.
    22. Blau, Benjamin M. & Griffith, Todd G. & Whitby, Ryan J., 2021. "Inflation and Bitcoin: A descriptive time-series analysis," Economics Letters, Elsevier, vol. 203(C).
    23. Barrdear, John & Kumhof, Michael, 2022. "The macroeconomics of central bank digital currencies," Journal of Economic Dynamics and Control, Elsevier, vol. 142(C).
    24. Takeshi Yagihashi, 2020. "DSGE Models Used by Policymakers: A Survey," Discussion papers ron333, Policy Research Institute, Ministry of Finance Japan.
    25. William Poole, 1970. "Optimal Choice of Monetary Policy Instruments in a Simple Stochastic Macro Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 84(2), pages 197-216.
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