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Central Bank Digital Currency: When price and bank stability collide

Author

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  • Schilling, Linda
  • Fernandez-Villaverde, Jesus
  • Uhlig, Harald

Abstract

When a central bank introduces a central bank digital currency, it may lead to an erosion of deposits as the stable funding base of banks and result in challenges regarding the asset side of the central bank. We study the resulting economy and tradeoffs in a stylized nominal version of the Diamond-Dybvig (1983) model. The central bank is now involved in maturity transformation, if it so chooses. We posit that the central bank pursues three objectives: price stability, economic efficiency and financial stability. We demonstrate that a CBDC Trilemma arises: out of these three objectives, the central bank can achieve at most two. In particular, a commitment to price stability can cause a run on the central bank. Implementation of the socially optimal allocation requires a commitment to inflation.

Suggested Citation

  • Schilling, Linda & Fernandez-Villaverde, Jesus & Uhlig, Harald, 2020. "Central Bank Digital Currency: When price and bank stability collide," MPRA Paper 113248, University Library of Munich, Germany, revised 01 May 2022.
  • Handle: RePEc:pra:mprapa:113248
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    as
    1. Schilling, Linda & Uhlig, Harald, 2019. "Some simple bitcoin economics," Journal of Monetary Economics, Elsevier, vol. 106(C), pages 16-26.
    2. Jonathan Chiu & Mohammad Davoodalhosseini & Janet Hua Jiang & Yu Zhu, 2019. "Bank Market Power and Central Bank Digital Currency: Theory and Quantitative Assessment," Staff Working Papers 19-20, Bank of Canada.
    3. Michael Choi & Guillaume Rocheteau, 2021. "Money Mining and Price Dynamics," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(4), pages 246-294, October.
    4. Fernández-Villaverde, Jesús & Sanches, Daniel, 2019. "Can currency competition work?," Journal of Monetary Economics, Elsevier, vol. 106(C), pages 1-15.
    5. Aleksander Berentsen, 1998. "Monetary Policy Implications of Digital Money," Kyklos, Wiley Blackwell, vol. 51(1), pages 89-118, February.
    6. Julien Prat & Benjamin Walter, 2021. "An Equilibrium Model of the Market for Bitcoin Mining," Journal of Political Economy, University of Chicago Press, vol. 129(8), pages 2415-2452.
    7. 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.
    8. Julien Prat & Vincent Danos & Stefania Marcassa, 2019. "Fundamental Pricing of Utility Tokens," Working Papers hal-03096284, HAL.
    9. Douglas W. Diamond & Raghuram G. Rajan, 2006. "Money in a Theory of Banking," American Economic Review, American Economic Association, vol. 96(1), pages 30-53, March.
    10. Obstfeld, Maurice, 1986. "Rational and Self-fulfilling Balance-of-Payments Crises," American Economic Review, American Economic Association, vol. 76(1), pages 72-81, March.
    11. Dirk Niepelt, 2020. "Monetary Policy with Reserves and CBDC: Optimality, Equivalence, and Politics," CESifo Working Paper Series 8712, CESifo.
    12. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 24(Win), pages 14-23.
    13. Brunnermeier, Markus K. & Niepelt, Dirk, 2019. "On the equivalence of private and public money," Journal of Monetary Economics, Elsevier, vol. 106(C), pages 27-41.
    14. Calvo, Guillermo A, 1988. "Servicing the Public Debt: The Role of Expectations," American Economic Review, American Economic Association, vol. 78(4), pages 647-661, September.
    15. Allen, Franklin & Gu, Xian & Jagtiani, Julapa, 2022. "Fintech, Cryptocurrencies, and CBDC: Financial Structural Transformation in China," CEPR Discussion Papers 16977, C.E.P.R. Discussion Papers.
    16. Ferrari Minesso, Massimo & Mehl, Arnaud & Stracca, Livio, 2022. "Central bank digital currency in an open economy," Journal of Monetary Economics, Elsevier, vol. 127(C), pages 54-68.
    17. Pierpaolo Benigno, 2019. "Monetary Policy in a World of Cryptocurrencies," EIEF Working Papers Series 1905, Einaudi Institute for Economics and Finance (EIEF), revised Apr 2019.
    18. David Andolfatto & Aleksander Berentsen & Fernando M Martin, 2020. "Money, Banking, and Financial Markets," Review of Economic Studies, Oxford University Press, vol. 87(5), pages 2049-2086.
    19. Michael D. Bordo & Andrew T. Levin, 2017. "Central Bank Digital Currency and the Future of Monetary Policy," NBER Working Papers 23711, National Bureau of Economic Research, Inc.
    20. Gauti B. Eggertsson & Michael Woodford, 2003. "The Zero Bound on Interest Rates and Optimal Monetary Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 34(1), pages 139-235.
    21. Morten Linnemann Bech & Rodney Garratt, 2017. "Central bank cryptocurrencies," BIS Quarterly Review, Bank for International Settlements, September.
    22. repec:zbw:bofrdp:2017_027 is not listed on IDEAS
    23. Raphael A. Auer & Giulio Cornelli & Jon Frost, 2020. "Rise of the Central Bank Digital Currencies: Drivers, Approaches and Technologies," CESifo Working Paper Series 8655, CESifo.
    24. Lucas, Robert E, Jr & Stokey, Nancy L, 1987. "Money and Interest in a Cash-in-Advance Economy," Econometrica, Econometric Society, vol. 55(3), pages 491-513, May.
    25. Todd Keister, 2016. "Bailouts and Financial Fragility," Review of Economic Studies, Oxford University Press, vol. 83(2), pages 704-736.
    26. Harald Uhlig, 1996. "A law of large numbers for large economies (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 41-50.
    27. Obstfeld, Maurice, 1996. "Models of currency crises with self-fulfilling features," European Economic Review, Elsevier, vol. 40(3-5), pages 1037-1047, April.
    28. Jesus Fernandez-Villaverde & Daniel Sanches & Linda Schilling & Harald Uhlig, 2021. "Central Bank Digital Currency: Central Banking For All?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 41, pages 225-242, July.
    29. Bruno Biais & Christophe Bisière & Matthieu Bouvard & Catherine Casamatta, 2019. "The Blockchain Folk Theorem," Review of Financial Studies, Society for Financial Studies, vol. 32(5), pages 1662-1715.
    30. Stephen Williamson, 2019. "Central Bank Digital Currency: Welfare and Policy Implications," 2019 Meeting Papers 386, Society for Economic Dynamics.
    31. Allen, Franklin & Carletti, Elena & Gale, Douglas, 2014. "Money, financial stability and efficiency," Journal of Economic Theory, Elsevier, vol. 149(C), pages 100-127.
    32. Benigno, Pierpaolo & Schilling, Linda M. & Uhlig, Harald, 2022. "Cryptocurrencies, currency competition, and the impossible trinity," Journal of International Economics, Elsevier, vol. 136(C).
    33. Charles M. Kahn & Francisco Rivadeneyra & Tsz-Nga Wong, 2018. "Should the Central Bank Issue E-money?," Staff Working Papers 18-58, Bank of Canada.
    34. Skeie, David R., 2008. "Banking with nominal deposits and inside money," Journal of Financial Intermediation, Elsevier, vol. 17(4), pages 562-584, October.
    35. Krugman, Paul, 1979. "A Model of Balance-of-Payments Crises," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 11(3), pages 311-325, August.
    36. Lin William Cong & Ye Li & Neng Wang, 2021. "Tokenomics: Dynamic Adoption and Valuation [The demand of liquid assets with uncertain lumpy expenditures]," Review of Financial Studies, Society for Financial Studies, vol. 34(3), pages 1105-1155.
    37. Raphael Auer & Rainer Boehme, 2020. "The technology of retail central bank digital currency," BIS Quarterly Review, Bank for International Settlements, March.
    38. Schiller, Jonathan & Gross, Jonas, 2021. "A Model for Central Bank Digital Currencies: Implications for Bank Funding and Monetary Policy," VfS Annual Conference 2021 (Virtual Conference): Climate Economics 242350, Verein für Socialpolitik / German Economic Association.
    39. Rivero Leiva, David & Rodríguez Mendizábal, Hugo, 2019. "Self-fulfilling runs and endogenous liquidity creation," Journal of Financial Stability, Elsevier, vol. 45(C).
    40. Barrdear, John & Kumhof, Michael, 2016. "The macroeconomics of central bank issued digital currencies," Bank of England working papers 605, Bank of England.
    41. Allen, Franklin & Gu, Xian & Jagtiani, Julapa, 2022. "Fintech, Cryptocurrencies, and CBDC: Financial Structural Transformation in China," Journal of International Money and Finance, Elsevier, vol. 124(C).
    42. Mohammad Davoodalhosseini & Francisco Rivadeneyra & Yu Zhu, 2020. "CBDC and Monetary Policy," Staff Analytical Notes 2020-4, Bank of Canada.
    43. Svensson, Lars E O, 1985. "Money and Asset Prices in a Cash-in-Advance Economy," Journal of Political Economy, University of Chicago Press, vol. 93(5), pages 919-944, October.
    44. Jacob D. Leshno & Philipp Strack, 2020. "Bitcoin: An Axiomatic Approach and an Impossibility Theorem," American Economic Review: Insights, American Economic Association, vol. 2(3), pages 269-286, September.
    45. Velasco, Andres, 1996. "Fixed exchange rates: Credibility, flexibility and multiplicity," European Economic Review, Elsevier, vol. 40(3-5), pages 1023-1035, April.
    46. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
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    More about this item

    Keywords

    CBDC; currency crises; monetary policy; bank runs; financial intermediation; central bank digital currency; inflation targeting;
    All these keywords.

    JEL classification:

    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

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