IDEAS home Printed from https://ideas.repec.org/p/szg/worpap/2005.html
   My bibliography  Save this paper

Monetary Policy with Reserves and CBDC: Optimality, Equivalence, and Politics

Author

Abstract

We analyze policy in a two-tiered monetary system. Noncompetitive banks issue deposits while the central bank issues reserves and a retail CBDC. Monies differ with respect to operating costs and liquidity. We map the framework into a baseline business cycle model with "pseudo wedges" and derive optimal policy rules: Spreads satisfy modified Friedman rules and deposits must be taxed or subsidized. We generalize the Brunnermeier and Niepelt (2019) result on the macro irrelevance of CBDC but show that a deposit based payment system requires higher taxes. The model implies annual implicit subsidies to U.S. banks of up to 0.8 percent of GDP during the period 1999-2017.

Suggested Citation

  • Dirk Niepelt, 2020. "Monetary Policy with Reserves and CBDC: Optimality, Equivalence, and Politics," Working Papers 20.05, Swiss National Bank, Study Center Gerzensee.
  • Handle: RePEc:szg:worpap:2005
    as

    Download full text from publisher

    File URL: http://www.szgerzensee.ch/fileadmin/Dateien_Anwender/Dokumente/working_papers/wp-2005.pdf
    File Function: Full text
    Download Restriction: None
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Fischer, Stanley, 1972. "Keynes-Wicksell and Neoclassical Models of Money and Growth," American Economic Review, American Economic Association, vol. 62(5), pages 880-890, December.
    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. 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.
    4. 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..
    5. David Andolfatto, 2018. "Reconciling Orthodox and Heterodox Views on Money and Banking," Review of Economic Analysis, Digital Initiatives at the University of Waterloo Library, vol. 10(4), pages 351-370, November.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : II. New directions," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 309-341.
    12. Hall, Robert, 2015. "Maintaining Central-Bank Financial Stability under New-Style Central Banking," CEPR Discussion Papers 10741, C.E.P.R. Discussion Papers.
    13. Kurlat, Pablo, 2019. "Deposit spreads and the welfare cost of inflation," Journal of Monetary Economics, Elsevier, vol. 106(C), pages 78-93.
    14. Gersbach, Hans & Faure, Salomon, 2018. "Money Creation in Different Architectures," CEPR Discussion Papers 13156, C.E.P.R. Discussion Papers.
    15. 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.
    16. 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.
    17. Charles M. Kahn & Francisco Rivadeneyra & Tsz-Nga Wong, 2018. "Should the Central Bank Issue E-money?," Staff Working Papers 18-58, Bank of Canada.
    18. 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.
    19. Mr. Michael Kumhof & Mr. Jaromir Benes, 2012. "The Chicago Plan Revisited," IMF Working Papers 2012/202, International Monetary Fund.
    20. 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.
    21. 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.
    22. 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.
    23. Kumhof, Michael & Noone, Clare, 2018. "Central bank digital currencies - design principles and balance sheet implications," Bank of England working papers 725, Bank of England.
    24. 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.
    25. Del Negro, Marco & Sims, Christopher A., 2015. "When does a central bank׳s balance sheet require fiscal support?," Journal of Monetary Economics, Elsevier, vol. 73(C), pages 1-19.
    26. Wallace, Neil, 1981. "A Modigliani-Miller Theorem for Open-Market Operations," American Economic Review, American Economic Association, vol. 71(3), pages 267-274, June.
    27. Joseph Abadi & Markus Brunnermeier & Yann Koby, 2023. "The Reversal Interest Rate," American Economic Review, American Economic Association, vol. 113(8), pages 2084-2120, August.
    28. Raphael Auer & Rainer Boehme, 2020. "The technology of retail central bank digital currency," BIS Quarterly Review, Bank for International Settlements, March.
    29. Bryant, John, 1983. "Government Irrelevance Results: A Simple Exposition," American Economic Review, American Economic Association, vol. 73(4), pages 758-761, September.
    30. 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.
    31. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
    32. Bindseil, Ulrich, 2020. "Tiered CBDC and the financial system," Working Paper Series 2351, European Central Bank.
    33. 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.
    34. Barrdear, John & Kumhof, Michael, 2016. "The macroeconomics of central bank issued digital currencies," Bank of England working papers 605, Bank of England.
    35. Saving, Thomas R, 1971. "Transactions Costs and the Demand for Money," American Economic Review, American Economic Association, vol. 61(3), pages 407-420, June.
    36. 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.
    37. Lucas, Robert E. & Nicolini, Juan Pablo, 2015. "On the stability of money demand," Journal of Monetary Economics, Elsevier, vol. 73(C), pages 48-65.
    38. 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.
    39. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Raphael Auer & Rainer Boehme, 2021. "Central bank digital currency: the quest for minimally invasive technology," BIS Working Papers 948, Bank for International Settlements.
    2. Gianluca Benigno & Pierpaolo Benigno, 2022. "Managing Monetary Policy Normalization," Staff Reports 1015, Federal Reserve Bank of New York.
    3. 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.
    4. Ahnert, Toni & Assenmacher, Katrin & Hoffmann, Peter & Leonello, Agnese & Monnet, Cyril & Porcellacchia, Davide, 2022. "The economics of central bank digital currency," Working Paper Series 2713, European Central Bank.
    5. 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.
    6. 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.
    7. Davoodalhosseini, Seyed Mohammadreza, 2022. "Central bank digital currency and monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 142(C).
    8. Assenmacher, Katrin & Bitter, Lea & Ristiniemi, Annukka, 2023. "CBDC and business cycle dynamics in a New Monetarist New Keynesian model," Working Paper Series 2811, European Central Bank.
    9. Benigno, Pierpaolo & Benigno, Gianluca, 2021. "Interest, Reserves and Prices," CEPR Discussion Papers 16222, C.E.P.R. Discussion Papers.
    10. Jonathan Chiu & Mohammad Davoodalhosseini, 2021. "Central Bank Digital Currency and Banking: Macroeconomic Benefits of a Cash-Like Design," Staff Working Papers 21-63, Bank of Canada.
    11. Burlon, Lorenzo & Montes-Galdón, Carlos & Muñoz, Manuel A. & Smets, Frank, 2022. "The optimal quantity of CBDC in a bank-based economy," Working Paper Series 2689, European Central Bank.
    12. Sebastian Infante & Kyungmin Kim & Anna Orlik & André F. Silva & Robert J. Tetlow, 2022. "The Macroeconomic Implications of CBDC: A Review of the Literature," Finance and Economics Discussion Series 2022-076, Board of Governors of the Federal Reserve System (U.S.).
    13. Cyril Monnet & Hyun Song Shin & Jon Frost & Leonardo Gambacorta & Raphael Auer & Tara Rice, 2022. "Central Bank Digital Currencies: Motives, Economic Implications, and the Research Frontier," Annual Review of Economics, Annual Reviews, vol. 14(1), pages 697-721, August.
    14. 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.
    15. 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.
    16. Karau, Sören, 2023. "Central bank digital currency competition and the impossible trinity," Finance Research Letters, Elsevier, vol. 54(C).
    17. Assenmacher, Katrin & Berentsen, Aleksander & Brand, Claus & Lamersdorf, Nora, 2021. "A unified framework for CBDC design: remuneration, collateral haircuts and quantity constraints," Working Paper Series 2578, European Central Bank.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Dirk Niepelt, 2022. "Money and Banking with Reserves and CBDC," Diskussionsschriften dp2212, Universitaet Bern, Departement Volkswirtschaft.
    2. Marcelo A. T. Aragão, 2021. "A Few Things You Wanted to Know about the Economics of CBDCs, but were Afraid to Model: a survey of what we can learn from who has done," Working Papers Series 554, Central Bank of Brazil, Research Department.
    3. 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.
    4. Rehman, Mubeen Abdur & Irfan, Muhammad & Naeem, Muhammad Abubakr & Lucey, Brian M. & Karim, Sitara, 2023. "Macro-financial implications of central bank digital currencies," Research in International Business and Finance, Elsevier, vol. 64(C).
    5. 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.
    6. 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.
    7. Smets, Frank & Burlon, Lorenzo & Montes-Galdón, Carlos & Muñoz, Manuel A., 2022. "The optimal quantity of CBDC in a bank-based economy," CEPR Discussion Papers 16995, C.E.P.R. Discussion Papers.
    8. Chen, Hongyi & Siklos, Pierre L., 2022. "Central bank digital currency: A review and some macro-financial implications," Journal of Financial Stability, Elsevier, vol. 60(C).
    9. Cyril Monnet & Hyun Song Shin & Jon Frost & Leonardo Gambacorta & Raphael Auer & Tara Rice, 2022. "Central Bank Digital Currencies: Motives, Economic Implications, and the Research Frontier," Annual Review of Economics, Annual Reviews, vol. 14(1), pages 697-721, August.
    10. Agur, Itai & Ari, Anil & Dell’Ariccia, Giovanni, 2022. "Designing central bank digital currencies," Journal of Monetary Economics, Elsevier, vol. 125(C), pages 62-79.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. Zijian Wang, 2023. "Money Laundering and the Privacy Design of Central Bank Digital Currency," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 604-632, December.
    16. Le, Anh H., 2022. "Central bank digital currency and cryptocurrency in emerging markets," MPRA Paper 114734, University Library of Munich, Germany.
    17. Barrdear, John & Kumhof, Michael, 2022. "The macroeconomics of central bank digital currencies," Journal of Economic Dynamics and Control, Elsevier, vol. 142(C).
    18. Davoodalhosseini, Seyed Mohammadreza, 2022. "Central bank digital currency and monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 142(C).
    19. Sascha Buetzer, 2022. "Advancing the Monetary Policy Toolkit through Outright Transfers," IMF Working Papers 2022/087, International Monetary Fund.
    20. Muñoz, Manuel A. & Soons, Oscar, 2023. "Public money as a store of value, heterogeneous beliefs, and banks: implications of CBDC," Working Paper Series 2801, European Central Bank.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:szg:worpap:2005. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: library (email available below). General contact details of provider: https://szgerzensee.ch/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.