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A Simple Model of a Central Bank Digital Currency

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  • Bineet Mishra
  • Eswar S. Prasad

Abstract

We develop a general equilibrium model that highlights the trade-offs between physical and digital forms of retail central bank money. The key differences between cash and central bank digital currency (CBDC) include transaction efficiency, possibilities for tax evasion, and, potentially, nominal rates of return. We establish conditions under which cash and CBDC can co-exist and show how government policies can influence relative holdings of cash, CBDC, and other assets. We illustrate how a CBDC can facilitate negative nominal interest rates and helicopter drops, and also how a CBDC can be structured to prevent capital flight from other assets.

Suggested Citation

  • Bineet Mishra & Eswar S. Prasad, 2023. "A Simple Model of a Central Bank Digital Currency," NBER Working Papers 31198, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:31198
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    1. Allen, Sarah & Capkun, Srdjan & Eyal, Ittay & Fanti, Giulia & Ford, Bryan & Grimmelmann, James & Juels, Ari & Kostiainen, Kari & Meiklejohn, Sarah & Miller, Andrew & Prasad, Eswar & Wüst, Karl & Zhang, 2020. "Design Choices for Central Bank Digital Currency: Policy and Technical Considerations," IZA Discussion Papers 13535, Institute of Labor Economics (IZA).
    2. Lotz, Sébastien & Zhang, Cathy, 2016. "Money and credit as means of payment: A new monetarist approach," Journal of Economic Theory, Elsevier, vol. 164(C), pages 68-100.
    3. Michiel Bijlsma & Carin van der Cruijsen & Nicole Jonker & Jelmer Reijerink, 2021. "What triggers consumer adoption of CBDC?," Working Papers 709, DNB.
    4. Williamson, Stephen D., 2022. "Central bank digital currency and flight to safety," Journal of Economic Dynamics and Control, Elsevier, vol. 142(C).
    5. Agur, Itai & Ari, Anil & Dell’Ariccia, Giovanni, 2022. "Designing central bank digital currencies," Journal of Monetary Economics, Elsevier, vol. 125(C), pages 62-79.
    6. William J. Baumol, 1952. "The Transactions Demand for Cash: An Inventory Theoretic Approach," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 66(4), pages 545-556.
    7. Feenstra, Robert C., 1986. "Functional equivalence between liquidity costs and the utility of money," Journal of Monetary Economics, Elsevier, vol. 17(2), pages 271-291, March.
    8. 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.
    9. Eun Young Oh & Shuonan Zhang, 2022. "Informal economy and central bank digital currency," Economic Inquiry, Western Economic Association International, vol. 60(4), pages 1520-1539, October.
    10. Markus K. Brunnermeier & Harold James & Jean-Pierre Landau, 2019. "The Digitalization of Money," Working Papers 2019-13, Princeton University. Economics Department..
    11. David Andolfatto, 2021. "Assessing the Impact of Central Bank Digital Currency on Private Banks," The Economic Journal, Royal Economic Society, vol. 131(634), pages 525-540.
    12. 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.
    13. Davoodalhosseini, Seyed Mohammadreza, 2022. "Central bank digital currency and monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 142(C).
    14. 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.
    15. Barrdear, John & Kumhof, Michael, 2022. "The macroeconomics of central bank digital currencies," Journal of Economic Dynamics and Control, Elsevier, vol. 142(C).
    16. Raphael Auer & Stijn Claessens, 2018. "Regulating cryptocurrencies: assessing market reactions," BIS Quarterly Review, Bank for International Settlements, September.
    17. Cong, Lin William & Mayer, Simon, 2022. "The Coming Battle of Digital Currencies," Applied Economics and Policy Working Paper Series 320020, Cornell University, Department of Applied Economics and Management.
    18. Schmitt-Grohe, Stephanie & Uribe, Martin, 2007. "Optimal simple and implementable monetary and fiscal rules," Journal of Monetary Economics, Elsevier, vol. 54(6), pages 1702-1725, September.
    19. 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.
    20. Stephen Williamson, 2022. "Central Bank Digital Currency: Welfare and Policy Implications," Journal of Political Economy, University of Chicago Press, vol. 130(11), pages 2829-2861.
    21. Ahnert, Toni & Hoffmann, Peter & Monnet, Cyril, 2022. "Payments and privacy in the digital economy," CEPR Discussion Papers 17313, C.E.P.R. Discussion Papers.
    22. 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.
    23. Kumhof, Michael & Noone, Clare, 2021. "Central bank digital currencies — Design principles for financial stability," Economic Analysis and Policy, Elsevier, vol. 71(C), pages 553-572.
    24. Li, Jiaqi, 2023. "Predicting the demand for central bank digital currency: A structural analysis with survey data," Journal of Monetary Economics, Elsevier, vol. 134(C), pages 73-85.
    25. Todd Keister & Daniel Sanches, 2023. "Should Central Banks Issue Digital Currency?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 90(1), pages 404-431.
    26. Brock, W.A., 1990. "Overlapping generations models with money and transactions costs," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 7, pages 263-295, Elsevier.
    27. Itai Agur & Mario Bergara & Michael D. Bordo & Alessandra Cillo & Walter Engert & Santiago Fernandez de Lis & Ben S.C. Fung & Ernest Gnan & Andrew T. Levin & Dirk Niepelt & Ruth Judson & Donato Mascia, 2018. "Do We Need Central Bank Digital Currency? Economics, Technology and Institutions," SUERF Studies, SUERF - The European Money and Finance Forum, number 2018/2 edited by Ernest Gnan and Donato Masciandaro, May.
    28. Kahn, Charles M. & Roberds, William, 2009. "Why pay? An introduction to payments economics," Journal of Financial Intermediation, Elsevier, vol. 18(1), pages 1-23, January.
    29. Rodney J. Garratt & Maarten R. C. van Oordt, 2021. "Privacy as a Public Good: A Case for Electronic Cash," Journal of Political Economy, University of Chicago Press, vol. 129(7), pages 2157-2180.
    30. Stockman, Alan C., 1981. "Anticipated inflation and the capital stock in a cash in-advance economy," Journal of Monetary Economics, Elsevier, vol. 8(3), pages 387-393.
    31. Katrin Assenmacher & Signe Krogstrup, 2018. "Monetary Policy with Negative Interest Rates: Decoupling Cash from Electronic Money," IMF Working Papers 2018/191, International Monetary Fund.
    32. Fried, Joel & Howitt, Peter, 1983. "The Effects of Inflation on Real Interest Rates," American Economic Review, American Economic Association, vol. 73(5), pages 968-980, December.
    33. Jonathan Chiu & Seyed Mohammadreza Davoodalhosseini & Janet Jiang & Yu Zhu, 2023. "Bank Market Power and Central Bank Digital Currency: Theory and Quantitative Assessment," Journal of Political Economy, University of Chicago Press, vol. 131(5), pages 1213-1248.
    34. Svensson, Lars E O, 1999. "Price-Level Targeting versus Inflation Targeting: A Free Lunch?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(3), pages 277-295, August.
    35. Remo Nyffenegger, 2022. "Central bank digital currency and bank intermediation: medium of exchange vs. savings vehicle," ECON - Working Papers 409, Department of Economics - University of Zurich, revised Aug 2023.
    36. Kiyotaki, Nobuhiro & Wright, Randall, 1993. "A Search-Theoretic Approach to Monetary Economics," American Economic Review, American Economic Association, vol. 83(1), pages 63-77, March.
    37. 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.
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    3. Zhang, Runze & Li, Zhijun & Xiao, Chunqu & You, Jiwang, 2023. "New engines of economic growth: How digital currencies lead the way to growth in the era of digital economy," Economic Analysis and Policy, Elsevier, vol. 80(C), pages 1597-1617.
    4. Son, Jaemin & Ryu, Doojin & Webb, Robert I., 2023. "Central bank digital currency: Payment choices and commercial bank profitability," International Review of Financial Analysis, Elsevier, vol. 90(C).

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    JEL classification:

    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
    • E5 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination

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