IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/103828.html
   My bibliography  Save this paper

Negative Interest Rates on Central Bank Digital Currency

Author

Listed:
  • Jia, Pengfei

Abstract

Paying negative interest rates on central bank digital currency (CBDC) becomes increasingly relevant to monetary operations, since several major central banks have been actively exploring both negative interest rate policy and CBDC after the Great Recession. This paper provides a formal analysis to evaluate the macroeconomic impact of negative interest rates on CBDC through the lens of a neoclassical general equilibrium model with monetary aggregates. In the benchmark model, agents have access to two types of assets: CBDC and productive capital. The demand for digital currency is motivated by a liquidity constraint. I show that paying negative interest on CBDC induces agents to save less and consume more via a substitution effect. A drop in savings in turn causes a fall in capital investment, subsequent output, and real money balances. To clear the money market, the price level increases. I then extend the model to include government bonds which deliver a positive return. This allows me to study a non-trivial portfolio effect: when the government pays a negative interest rate on CBDC, the tax on agents' capital spending increases, inducing a decrease in capital investment and an increase in government bonds in agents' portfolio. Such a policy causes a drop in investment and output. However, there is a transitory decline in the price level due to a "flight to quality".

Suggested Citation

  • Jia, Pengfei, 2020. "Negative Interest Rates on Central Bank Digital Currency," MPRA Paper 103828, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:103828
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/103828/1/MPRA_paper_103828.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Bruce D. Smith, 1991. "Interest on Reserves and Sunspot Equilibria: Friedman's Proposal Reconsidered," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(1), pages 93-105.
    4. Agur, Itai & Ari, Anil & Dell’Ariccia, Giovanni, 2022. "Designing central bank digital currencies," Journal of Monetary Economics, Elsevier, vol. 125(C), pages 62-79.
    5. 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.
    6. Kenneth S. Rogoff, 2016. "The Curse of Cash," Economics Books, Princeton University Press, edition 1, number 10798.
    7. David M. Arseneau, 2020. "How Would U.S. Banks Fare in a Negative Interest Rate Environment?," International Journal of Central Banking, International Journal of Central Banking, vol. 16(5), pages 269-308, October.
    8. Davoodalhosseini, Seyed Mohammadreza, 2022. "Central bank digital currency and monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 142(C).
    9. Aleksander Berentsen & Fabian Schär, 2018. "The Case for Central Bank Electronic Money and the Non-case for Central Bank Cryptocurrencies," Review, Federal Reserve Bank of St. Louis, vol. 100(2), pages 97-106.
    10. Kenneth Rogoff, 2015. "Costs and Benefits to Phasing out Paper Currency," NBER Macroeconomics Annual, University of Chicago Press, vol. 29(1), pages 445-456.
    11. Christian Barontini & Henry Holden, 2019. "Proceeding with caution - a survey on central bank digital currency," BIS Papers, Bank for International Settlements, number 101.
    12. 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.
    13. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    14. Gauti B. Eggertsson & Ragnar E. Juelsrud & Ella Getz Wold, 2017. "Are Negative Nominal Interest Rates Expansionary?," NBER Working Papers 24039, National Bureau of Economic Research, Inc.
    15. Freeman, Scott & Huffman, Gregory W, 1991. "Inside Money, Output, and Causality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(3), pages 645-667, August.
    16. Michael D. Bordo & Andrew T. Levin, 2017. "Central Bank Digital Currency And The Future Of Monetary Policy," Economics Working Papers 17104, Hoover Institution, Stanford University.
    17. 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.
    18. 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.
    19. Morten Linnemann Bech & Aytek Malkhozov, 2016. "How have central banks implemented negative policy rates?," BIS Quarterly Review, Bank for International Settlements, March.
    20. Stanley Fischer, 2016. "Monetary Policy, Financial Stability, and the Zero Lower Bound," American Economic Review, American Economic Association, vol. 106(5), pages 39-42, May.
    21. Barrdear, John & Kumhof, Michael, 2016. "The macroeconomics of central bank issued digital currencies," Bank of England working papers 605, Bank of England.
    22. Lopez, Jose A. & Rose, Andrew K. & Spiegel, Mark M., 2020. "Why have negative nominal interest rates had such a small effect on bank performance? Cross country evidence," European Economic Review, Elsevier, vol. 124(C).
    23. James Tobin, 1987. "A Case for Preserving Regulatory Distinctions," Challenge, Taylor & Francis Journals, vol. 30(5), pages 10-17, September.
    24. Champ,Bruce & Freeman,Scott & Haslag,Joseph, 2011. "Modeling Monetary Economies," Cambridge Books, Cambridge University Press, number 9780521177009, November.
    25. David Andolfatto, 2015. "A Model of U.S. Monetary Policy Before and After the Great Recession," Review, Federal Reserve Bank of St. Louis, vol. 97(3), pages 233-256.
    26. Christoph Basten & Mike Mariathasan, 2018. "How Banks Respond to Negative Interest Rates: Evidence from the Swiss Exemption Threshold," CESifo Working Paper Series 6901, CESifo.
    27. 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.
    28. 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.
    29. Champ, Bruce & Freeman, Scott, 1990. "Money, Output, and the Nominal National Debt," American Economic Review, American Economic Association, vol. 80(3), pages 390-397, June.
    30. Basten, Christoph & Mariathasan, Mike, 2023. "Interest rate pass-through and bank risk-taking under negative-rate policies with tiered remuneration of central bank reserves," Journal of Financial Stability, Elsevier, vol. 68(C).
    31. repec:cup:cbooks:9781107003491 is not listed on IDEAS
    32. Paul R. Krugman, 1998. "It's Baaack: Japan's Slump and the Return of the Liquidity Trap," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 29(2), pages 137-206.
    33. Kenneth Rogoff, 2017. "Dealing with Monetary Paralysis at the Zero Bound," Journal of Economic Perspectives, American Economic Association, vol. 31(3), pages 47-66, Summer.
    34. Codruta Boar & Henry Holden & Amber Wadsworth, 2020. "Impending arrival - a sequel to the survey on central bank digital currency," BIS Papers, Bank for International Settlements, number 107.
    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. Josef Schroth, 2021. "Optimal Monetary and Macroprudential Policies," Staff Working Papers 21-21, Bank of Canada.
    2. Lim, King Yoong & Liu, Chunping & Zhang, Shuonan, 2024. "Optimal central banking policies: Envisioning the post-digital yuan economy with loan prime rate-setting," Emerging Markets Review, Elsevier, vol. 59(C).
    3. Hoang, Yen Hai & Ngo, Vu Minh & Bich Vu, Ngoc, 2023. "Central bank digital currency: A systematic literature review using text mining approach," Research in International Business and Finance, Elsevier, vol. 64(C).
    4. Jia, Pengfei, 2021. "Trust Shocks, Financial Crises, and Money," MPRA Paper 106343, University Library of Munich, Germany.
    5. Jaemin Son & Mehmet Huseyin Bilgin & Doojin Ryu, 2022. "Consumer choices under new payment methods," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 8(1), pages 1-22, December.

    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. Agur, Itai & Ari, Anil & Dell’Ariccia, Giovanni, 2022. "Designing central bank digital currencies," Journal of Monetary Economics, Elsevier, vol. 125(C), pages 62-79.
    2. Lim, King Yoong & Liu, Chunping & Zhang, Shuonan, 2024. "Optimal central banking policies: Envisioning the post-digital yuan economy with loan prime rate-setting," Emerging Markets Review, Elsevier, vol. 59(C).
    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. 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.
    5. Altavilla, Carlo & Burlon, Lorenzo & Giannetti, Mariassunta & Holton, Sarah, 2022. "Is there a zero lower bound? The effects of negative policy rates on banks and firms," Journal of Financial Economics, Elsevier, vol. 144(3), pages 885-907.
    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. 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.
    8. Dionysopoulos, Lambis & Marra, Miriam & Urquhart, Andrew, 2024. "Central bank digital currencies: A critical review," International Review of Financial Analysis, Elsevier, vol. 91(C).
    9. 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).
    10. Dirk Niepelt, 2024. "Money and Banking with Reserves and CBDC," Journal of Finance, American Finance Association, vol. 79(4), pages 2505-2552, August.
    11. Ruchir Agarwal & Miles Kimball, 2019. "Enabling Deep Negative Rates to Fight Recessions: A Guide," IMF Working Papers 2019/084, International Monetary Fund.
    12. Davoodalhosseini, Seyed Mohammadreza, 2022. "Central bank digital currency and monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 142(C).
    13. Grandi, Pietro & Guille, Marianne, 2023. "Banks, deposit rigidity and negative rates," Journal of International Money and Finance, Elsevier, vol. 133(C).
    14. 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.
    15. Alexandra Mitschke, 2021. "Central Bank Digital Currencies and Monetary Policy Effectiveness in the Euro Area," Working Papers Dissertations 74, Paderborn University, Faculty of Business Administration and Economics.
    16. 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.
    17. Florian Heider & Farzad Saidi & Glenn Schepens, 2021. "Banks and Negative Interest Rates," Annual Review of Financial Economics, Annual Reviews, vol. 13(1), pages 201-218, November.
    18. Constanza Martínez-Ventura & Julián A. Parra-Polania & Tatiana Mora-Arbeláez & Angélica Lizarazo-Cuéllar, 2023. "Expected Macroeconomic Effects of Issuing a Retail CBDC," Borradores de Economia 1247, Banco de la Republica de Colombia.
    19. 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.
    20. Hoang, Yen Hai & Ngo, Vu Minh & Bich Vu, Ngoc, 2023. "Central bank digital currency: A systematic literature review using text mining approach," Research in International Business and Finance, Elsevier, vol. 64(C).

    More about this item

    Keywords

    CBDC; Negative interest rates; Monetary policy; Public money.;
    All these keywords.

    JEL classification:

    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E42 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Monetary Sytsems; Standards; Regimes; Government and the Monetary System
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E63 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Comparative or Joint Analysis of Fiscal and Monetary Policy; Stabilization; Treasury 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:pra:mprapa:103828. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.