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Money and Banking with Reserves and CBDC

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  • DIRK NIEPELT

Abstract

We analyze the role of retail central bank digital currency (CBDC) and reserves when banks exert deposit market power and liquidity transformation entails externalities. Optimal monetary architecture minimizes the social costs of liquidity provision, and optimal monetary policy follows modified Friedman rules. Interest rates on reserves and CBDC should differ. Calibrations robustly suggest that CBDC provides liquidity more efficiently than deposits unless the central bank must refinance banks and this is very costly. Accordingly, the optimal share of CBDC in payments tends to exceed that of deposits.

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  • Dirk Niepelt, 2024. "Money and Banking with Reserves and CBDC," Journal of Finance, American Finance Association, vol. 79(4), pages 2505-2552, August.
  • Handle: RePEc:bla:jfinan:v:79:y:2024:i:4:p:2505-2552
    DOI: 10.1111/jofi.13357
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    1. Cúrdia, Vasco & Woodford, Michael, 2016. "Credit Frictions and Optimal Monetary Policy," Journal of Monetary Economics, Elsevier, vol. 84(C), pages 30-65.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Woodford, Michael, 2001. "Fiscal Requirements for Price Stability," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 33(3), pages 669-728, August.
    7. Wallace, Neil, 1981. "A Modigliani-Miller Theorem for Open-Market Operations," American Economic Review, American Economic Association, vol. 71(3), pages 267-274, June.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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..
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
    22. 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.
    23. 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.
    24. 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.
    25. 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.
    26. Schilling, Linda & Fernández-Villaverde, Jesús & Uhlig, Harald, 2024. "Central bank digital currency: When price and bank stability collide," Journal of Monetary Economics, Elsevier, vol. 145(C).
    27. 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.
    28. 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.
    29. Skander Van den Heuvel, 2019. "The Welfare Effects of Bank Liquidity and Capital Requirements," 2019 Meeting Papers 325, Society for Economic Dynamics.
    30. Bindseil, Ulrich, 2020. "Tiered CBDC and the financial system," Working Paper Series 2351, European Central Bank.
    31. 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.
    32. 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.
    33. Kurlat, Pablo, 2019. "Deposit spreads and the welfare cost of inflation," Journal of Monetary Economics, Elsevier, vol. 106(C), pages 78-93.
    34. Benigno, Pierpaolo & Schilling, Linda M. & Uhlig, Harald, 2022. "Cryptocurrencies, currency competition, and the impossible trinity," Journal of International Economics, Elsevier, vol. 136(C).
    35. 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.
    36. Christine A. Parlour & Uday Rajan & Johan Walden, 2022. "Payment System Externalities," Journal of Finance, American Finance Association, vol. 77(2), pages 1019-1053, April.
    37. Agur, Itai & Ari, Anil & Dell’Ariccia, Giovanni, 2022. "Designing central bank digital currencies," Journal of Monetary Economics, Elsevier, vol. 125(C), pages 62-79.
    38. Saving, Thomas R, 1971. "Transactions Costs and the Demand for Money," American Economic Review, American Economic Association, vol. 61(3), pages 407-420, June.
    39. 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.
    40. 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.
    41. 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.
    42. Gersbach, Hans & Faure, Salomon, 2018. "Money Creation in Different Architectures," CEPR Discussion Papers 13156, C.E.P.R. Discussion Papers.
    43. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1.
    44. 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.
    45. 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.
    46. Mr. Michael Kumhof & Mr. Jaromir Benes, 2012. "The Chicago Plan Revisited," IMF Working Papers 2012/202, International Monetary Fund.
    47. 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.
    48. Lucas, Robert E. & Nicolini, Juan Pablo, 2015. "On the stability of money demand," Journal of Monetary Economics, Elsevier, vol. 73(C), pages 48-65.
    49. 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.
    50. 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.
    51. 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.
    52. 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.
    53. Christophe Chamley & Herakles Polemarchakis, 1984. "Assets, General Equilibrium and the Neutrality of Money," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(1), pages 129-138.
    54. 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.
    55. 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.
    56. 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.
    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. 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.
    59. 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.
    60. Raphael Auer & Rainer Boehme, 2020. "The technology of retail central bank digital currency," BIS Quarterly Review, Bank for International Settlements, March.
    61. Gertler, Mark & Karadi, Peter, 2011. "A model of unconventional monetary policy," Journal of Monetary Economics, Elsevier, vol. 58(1), pages 17-34, January.
    62. 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.
    63. 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.
    64. 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.
    65. Bryant, John, 1983. "Government Irrelevance Results: A Simple Exposition," American Economic Review, American Economic Association, vol. 73(4), pages 758-761, September.
    66. 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.
    67. Barrdear, John & Kumhof, Michael, 2022. "The macroeconomics of central bank digital currencies," Journal of Economic Dynamics and Control, Elsevier, vol. 142(C).
    68. Jackson, Timothy & Pennacchi, George, 2021. "How should governments create liquidity?," Journal of Monetary Economics, Elsevier, vol. 118(C), pages 281-295.
    69. 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.
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    Cited by:

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    More about this item

    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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