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Money and Banking with Reserves and CBDC

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  • Dirk Niepelt

Abstract

We analyze retail central bank digital currency (CBDC) in a two-tier monetary system with bank deposit market power and externalities from liquidity transformation. Resource costs of liquidity provision determine the optimal monetary architecture and modified Friedman (1969) rules the optimal monetary policy. Optimal interest rates on reserves and CBDC differ. A calibration for the U.S. suggests a weak case for CBDC in the baseline but a much clearer case when too-big-to-fail banks, tax distortions or instrument restrictions are present. Depending on central bank choices CBDC raises U.S. bank funding costs by up to 1.5 percent of GDP

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  • Dirk Niepelt, 2022. "Money and Banking with Reserves and CBDC," Diskussionsschriften dp2212, Universitaet Bern, Departement Volkswirtschaft.
    • Handle: RePEc:ube:dpvwib:dp2212
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    1. Pulley, Lawrence B & Humphrey, David B, 1993. "The Role of Fixed Costs and Cost Complementarities in Determining Scope Economies and the Cost of Narrow Banking Proposals," The Journal of Business, University of Chicago Press, vol. 66(3), pages 437-462, July.
    2. Buiter, Willem H., 2009. "Negative nominal interest rates: Three ways to overcome the zero lower bound," The North American Journal of Economics and Finance, Elsevier, vol. 20(3), pages 213-238, December.
    3. Jeremy C. Stein, 2012. "Monetary Policy as Financial Stability Regulation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(1), pages 57-95.
    4. 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.
    5. Shleifer, Andrei & Vishny, Robert W, 1992. "Liquidation Values and Debt Capacity: A Market Equilibrium Approach," Journal of Finance, American Finance Association, vol. 47(4), pages 1343-1366, September.
    6. Arvind Krishnamurthy & Annette Vissing-Jorgensen, 2012. "The Aggregate Demand for Treasury Debt," Journal of Political Economy, University of Chicago Press, vol. 120(2), pages 233-267.
    7. Itamar Drechsler & Alexi Savov & Philipp Schnabl, 2017. "The Deposits Channel of Monetary Policy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(4), pages 1819-1876.
    8. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
    9. Thomas Philippon, 2015. "Has the US Finance Industry Become Less Efficient? On the Theory and Measurement of Financial Intermediation," American Economic Review, American Economic Association, vol. 105(4), pages 1408-1438, April.
    10. Ricardo Lagos & Shengxing Zhang, 2020. "The Limits of onetary Economics: On Money as a Latent Medium of Exchange," NBER Working Papers 26756, National Bureau of Economic Research, Inc.
    11. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
    12. Douglas W. Diamond & Raghuram G. Rajan, 2011. "Fear of Fire Sales, Illiquidity Seeking, and Credit Freezes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(2), pages 557-591.
    13. Marvin Goodfriend & Robert G. King, 1997. "The New Neoclassical Synthesis and the Role of Monetary Policy," NBER Chapters, in: NBER Macroeconomics Annual 1997, Volume 12, pages 231-296, National Bureau of Economic Research, Inc.
    14. Mauricio Ulate, 2021. "Going Negative at the Zero Lower Bound: The Effects of Negative Nominal Interest Rates," American Economic Review, American Economic Association, vol. 111(1), pages 1-40, January.
    15. Cúrdia, Vasco & Woodford, Michael, 2016. "Credit Frictions and Optimal Monetary Policy," Journal of Monetary Economics, Elsevier, vol. 84(C), pages 30-65.
    16. Croushore, Dean, 1993. "Money in the utility function: Functional equivalence to a shopping-time model," Journal of Macroeconomics, Elsevier, vol. 15(1), pages 175-182.
    17. 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.
    18. Sebastian Di Tella, 2020. "Risk Premia and the Real Effects of Money," American Economic Review, American Economic Association, vol. 110(7), pages 1995-2040, July.
    19. Adrien Auclert & Bence Bardóczy & Matthew Rognlie & Ludwig Straub, 2021. "Using the Sequence‐Space Jacobian to Solve and Estimate Heterogeneous‐Agent Models," Econometrica, Econometric Society, vol. 89(5), pages 2375-2408, September.
    20. Hanson, Samuel G. & Shleifer, Andrei & Stein, Jeremy C. & Vishny, Robert W., 2015. "Banks as patient fixed-income investors," Journal of Financial Economics, Elsevier, vol. 117(3), pages 449-469.
    21. Agur, Itai & Ari, Anil & Dell’Ariccia, Giovanni, 2022. "Designing central bank digital currencies," Journal of Monetary Economics, Elsevier, vol. 125(C), pages 62-79.
    22. Kurlat, Pablo, 2019. "Deposit spreads and the welfare cost of inflation," Journal of Monetary Economics, Elsevier, vol. 106(C), pages 78-93.
    23. Gersbach, Hans & Faure, Salomon, 2018. "Money Creation in Different Architectures," CEPR Discussion Papers 13156, C.E.P.R. Discussion Papers.
    24. 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.
    25. 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.
    26. Andrei Shleifer & Robert Vishny, 2011. "Fire Sales in Finance and Macroeconomics," Journal of Economic Perspectives, American Economic Association, vol. 25(1), pages 29-48, Winter.
    27. Mr. Michael Kumhof & Mr. Jaromir Benes, 2012. "The Chicago Plan Revisited," IMF Working Papers 2012/202, International Monetary Fund.
    28. 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.
    29. Dirk Niepelt, 2020. "Reserves for All? Central Bank Digital Currency, Deposits, and Their (Non)-Equivalence," International Journal of Central Banking, International Journal of Central Banking, vol. 16(3), pages 211-238, June.
    30. Gersbach, Hans & Böser, Florian, 2020. "Monetary Policy with a Central Bank Digital Currency: The Short and the Long Term," CEPR Discussion Papers 15322, C.E.P.R. Discussion Papers.
    31. Divino, José Angelo & Orrillo, Jaime, 2017. "Failure of the Ricardian Equivalence Theory in Economies with Incomplete Markets," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 37(1), May.
    32. Patrick Bolton & Ye Li & Neng Wang & Jinqiang Yang, 2020. "Dynamic Banking and the Value of Deposits," NBER Working Papers 28298, National Bureau of Economic Research, Inc.
    33. 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.
    34. Anil K. Kashyap & Raghuram Rajan & Jeremy C. Stein, 2002. "Banks as Liquidity Providers: An Explanation for the Coexistence of Lending and Deposit‐taking," Journal of Finance, American Finance Association, vol. 57(1), pages 33-73, February.
    35. John B. Taylor, 1999. "A Historical Analysis of Monetary Policy Rules," NBER Chapters, in: Monetary Policy Rules, pages 319-348, National Bureau of Economic Research, Inc.
    36. Bernanke, Ben S & Blinder, Alan S, 1988. "Credit, Money, and Aggregate Demand," American Economic Review, American Economic Association, vol. 78(2), pages 435-439, May.
    37. 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.
    38. Bryant, John, 1983. "Government Irrelevance Results: A Simple Exposition," American Economic Review, American Economic Association, vol. 73(4), pages 758-761, September.
    39. Barrdear, John & Kumhof, Michael, 2022. "The macroeconomics of central bank digital currencies," Journal of Economic Dynamics and Control, Elsevier, vol. 142(C).
    40. Stefan Nagel, 2016. "The Liquidity Premium of Near-Money Assets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(4), pages 1927-1971.
    41. Schmiedel, Heiko & Kostova, Gergana & Ruttenberg, Wiebe, 2012. "The social and private costs of retail payment instruments: a European perspective," Occasional Paper Series 137, European Central Bank.
    42. Itamar Drechsler & Alexi Savov & Philipp Schnabl, 2021. "Banking on Deposits: Maturity Transformation without Interest Rate Risk," Journal of Finance, American Finance Association, vol. 76(3), pages 1091-1143, June.
    43. Nobuhiro Kiyotaki & John Moore, 2019. "Liquidity, Business Cycles, and Monetary Policy," Journal of Political Economy, University of Chicago Press, vol. 127(6), pages 2926-2966.
    44. 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.
    45. Woodford, Michael, 2001. "Fiscal Requirements for Price Stability," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 33(3), pages 669-728, August.
    46. Van den Heuvel, Skander J., 2008. "The welfare cost of bank capital requirements," Journal of Monetary Economics, Elsevier, vol. 55(2), pages 298-320, March.
    47. 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.
    48. Benigno, Pierpaolo & Schilling, Linda M. & Uhlig, Harald, 2022. "Cryptocurrencies, currency competition, and the impossible trinity," Journal of International Economics, Elsevier, vol. 136(C).
    49. Yun, Tack, 1996. "Nominal price rigidity, money supply endogeneity, and business cycles," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 345-370, April.
    50. Chari, V.V. & Phelan, Christopher, 2014. "On the social usefulness of fractional reserve banking," Journal of Monetary Economics, Elsevier, vol. 65(C), pages 1-13.
    51. Skander Van den Heuvel, 2019. "The Welfare Effects of Bank Liquidity and Capital Requirements," 2019 Meeting Papers 325, Society for Economic Dynamics.
    52. Schmiedel, Heiko & Kostova, Gergana & Ruttenberg, Wiebe, 2012. "The social and private costs of retail payment instruments: a European perspective," Occasional Paper Series 137, European Central Bank.
    53. Christine A. Parlour & Uday Rajan & Johan Walden, 2022. "Payment System Externalities," Journal of Finance, American Finance Association, vol. 77(2), pages 1019-1053, April.
    54. Tobin, James, 1969. "A General Equilibrium Approach to Monetary Theory," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 1(1), pages 15-29, February.
    55. Yifei Wang & Toni M. Whited & Yufeng Wu & Kairong Xiao, 2022. "Bank Market Power and Monetary Policy Transmission: Evidence from a Structural Estimation," Journal of Finance, American Finance Association, vol. 77(4), pages 2093-2141, August.
    56. Wallace, Neil, 1981. "A Modigliani-Miller Theorem for Open-Market Operations," American Economic Review, American Economic Association, vol. 71(3), pages 267-274, June.
    57. 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.
    58. Raphael Auer & Rainer Boehme, 2020. "The technology of retail central bank digital currency," BIS Quarterly Review, Bank for International Settlements, March.
    59. Zhiguo He & Arvind Krishnamurthy, 2018. "Intermediary Asset Pricing and the Financial Crisis," Annual Review of Financial Economics, Annual Reviews, vol. 10(1), pages 173-197, November.
    60. Robert G. King & Alexander L. Wolman, 2013. "Inflation Targeting in a St. Louis Model of the 21st Century," Review, Federal Reserve Bank of St. Louis, issue Nov, pages 543-574.
    61. Jackson, Timothy & Pennacchi, George, 2021. "How should governments create liquidity?," Journal of Monetary Economics, Elsevier, vol. 118(C), pages 281-295.
    62. Bindseil, Ulrich, 2020. "Tiered CBDC and the financial system," Working Paper Series 2351, European Central Bank.
    63. Saving, Thomas R, 1971. "Transactions Costs and the Demand for Money," American Economic Review, American Economic Association, vol. 61(3), pages 407-420, June.
    64. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1, March.
    65. Lucas, Robert E. & Nicolini, Juan Pablo, 2015. "On the stability of money demand," Journal of Monetary Economics, Elsevier, vol. 73(C), pages 48-65.
    66. Wang, Ping & Yip, Chong K, 1992. "Alternative Approaches to Money and Growth," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 24(4), pages 553-562, November.
    67. Christophe Chamley & Herakles Polemarchakis, 1984. "Assets, General Equilibrium and the Neutrality of Money," Review of Economic Studies, Oxford University Press, vol. 51(1), pages 129-138.
    68. Gertler, Mark & Karadi, Peter, 2011. "A model of unconventional monetary policy," Journal of Monetary Economics, Elsevier, vol. 58(1), pages 17-34, January.
    69. Begenau, Juliane, 2020. "Capital requirements, risk choice, and liquidity provision in a business-cycle model," Journal of Financial Economics, Elsevier, vol. 136(2), pages 355-378.
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    Cited by:

    1. Philippe Bacchetta & Elena Perazzi, 2021. "CBDC as Imperfect Substitute for Bank Deposits: A Macroeconomic Perspective," Swiss Finance Institute Research Paper Series 21-81, Swiss Finance Institute.

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    More about this item

    Keywords

    Central bank digital currency; reserves; two-tier system; bank; liquidity; equivalence;
    All these keywords.

    JEL classification:

    • E42 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Monetary Sytsems; Standards; Regimes; Government and the Monetary System
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E51 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Money Supply; Credit; Money Multipliers
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation

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