IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v196y2021ics0022053121001368.html
   My bibliography  Save this article

Optimal monetary policy with interest on reserves and capital over-accumulation

Author

Listed:
  • Hu, Tai-Wei

Abstract

We propose a model where banks with limited liability issue deposits backed by capital, and households demand deposits and currency as means-of-payments for decentralized trades. When financial friction is severe or productivity is low, banks hold excess reserves in equilibrium with a low nominal interest rate, and with capital holdings above the efficient level. In that region, paying a positive interest on reserves financed by money creation is optimal. Under a fixed inflation target, optimal interest rate on reserves is procyclical. The constrained efficient allocation is implemented with a fixed and a proportional liquidity requirement in addition to interest on reserves when productivity is not too high.

Suggested Citation

  • Hu, Tai-Wei, 2021. "Optimal monetary policy with interest on reserves and capital over-accumulation," Journal of Economic Theory, Elsevier, vol. 196(C).
    • Handle: RePEc:eee:jetheo:v:196:y:2021:i:c:s0022053121001368
    DOI: 10.1016/j.jet.2021.105319
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053121001368
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jet.2021.105319?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Gara Afonso & Ricardo Lagos, 2015. "Trade Dynamics in the Market for Federal Funds," Econometrica, Econometric Society, vol. 83, pages 263-313, January.
    2. 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.
    3. Berentsen, Aleksander & Camera, Gabriele & Waller, Christopher, 2007. "Money, credit and banking," Journal of Economic Theory, Elsevier, vol. 135(1), pages 171-195, July.
    4. 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.
    5. Wallace, Neil, 2001. "Whither Monetary Economics?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 847-869, November.
    6. Guillaume Rocheteau & Randall Wright, 2005. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 175-202, January.
    7. Williamson, Stephen D., 2019. "Interest on reserves, interbank lending, and monetary policy," Journal of Monetary Economics, Elsevier, vol. 101(C), pages 14-30.
    8. Tai-wei Hu & John Kennan & Neil Wallace, 2009. "Coalition-Proof Trade and the Friedman Rule in the Lagos-Wright Model," Journal of Political Economy, University of Chicago Press, vol. 117(1), pages 116-137, February.
    9. Ennis, Huberto M., 2018. "A simple general equilibrium model of large excess reserves," Journal of Monetary Economics, Elsevier, vol. 98(C), pages 50-65.
    10. Stephen D. Williamson, 2012. "Liquidity, Monetary Policy, and the Financial Crisis: A New Monetarist Approach," American Economic Review, American Economic Association, vol. 102(6), pages 2570-2605, October.
    11. Ricardo Lagos & Randall Wright, 2005. "A Unified Framework for Monetary Theory and Policy Analysis," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 463-484, June.
    12. Andolfatto, David, 2010. "Essential interest-bearing money," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1495-1507, July.
    13. Aleksander Berentsen & Alessandro Marchesiani & Christopher Waller, 2014. "Floor Systems for Implementing Monetary Policy: Some Unpleasant Fiscal Arithmetic," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(3), pages 523-542, July.
    14. Tri Vi Dang & Gary Gorton & Bengt Holmström & Guillermo Ordoñez, 2017. "Banks as Secret Keepers," American Economic Review, American Economic Association, vol. 107(4), pages 1005-1029, April.
    15. Hu, Tai-Wei & Rocheteau, Guillaume, 2013. "On the coexistence of money and higher-return assets and its social role," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2520-2560.
    16. Lagos, Ricardo & Rocheteau, Guillaume, 2008. "Money and capital as competing media of exchange," Journal of Economic Theory, Elsevier, vol. 142(1), pages 247-258, September.
    17. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 24(Win), pages 14-23.
    18. Rocheteau, Guillaume & Rodriguez-Lopez, Antonio, 2014. "Liquidity provision, interest rates, and unemployment," Journal of Monetary Economics, Elsevier, vol. 65(C), pages 80-101.
    19. Cúrdia, Vasco & Woodford, Michael, 2011. "The central-bank balance sheet as an instrument of monetarypolicy," Journal of Monetary Economics, Elsevier, vol. 58(1), pages 54-79, January.
    20. Zachary Bethune & Guillaume Rocheteau & Tsz-Nga Wong & Cathy Zhang, 2022. "Lending Relationships and Optimal Monetary Policy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(4), pages 1833-1872.
    21. Douglas W. Diamond & Raghuram G. Rajan, 2001. "Liquidity Risk, Liquidity Creation, and Financial Fragility: A Theory of Banking," Journal of Political Economy, University of Chicago Press, vol. 109(2), pages 287-327, April.
    22. Andolfatto, David & Berentsen, Aleksander & Waller, Christopher, 2016. "Monetary policy with asset-backed money," Journal of Economic Theory, Elsevier, vol. 164(C), pages 166-186.
    23. Chao Gu & Fabrizio Mattesini & Randall Wright, 2013. "Banking: A New Monetarist Approach," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(2), pages 636-662.
    24. Douglas W. Diamond, 1984. "Financial Intermediation and Delegated Monitoring," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(3), pages 393-414.
    25. Guillaume Rocheteau & Randall Wright & Cathy Zhang, 2018. "Corporate Finance and Monetary Policy," American Economic Review, American Economic Association, vol. 108(4-5), pages 1147-1186, April.
    26. Todd Keister & Antoine Martin & James J. McAndrews, 2015. "Floor systems and the Friedman rule: the fiscal arithmetic of open market operations," Staff Reports 754, Federal Reserve Bank of New York.
    27. Zannini, Ugo, 2020. "The optimal quantity of money and partially-liquid assets," Journal of Economic Theory, Elsevier, vol. 188(C).
    Full references (including those not matched with items on IDEAS)

    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. Javier Bianchi & Saki Bigio, 2022. "Banks, Liquidity Management, and Monetary Policy," Econometrica, Econometric Society, vol. 90(1), pages 391-454, January.
    2. Altermatt, Lukas & Wang, Zijian, 2024. "Oligopoly banking, risky investment, and monetary policy," European Economic Review, Elsevier, vol. 164(C).
    3. Williamson, Stephen & Wright, Randall, 2010. "New Monetarist Economics: Models," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 2, pages 25-96, Elsevier.
    4. Gu, Chao & Monnet, Cyril & Nosal, Ed & Wright, Randall, 2023. "Diamond–Dybvig and beyond: On the instability of banking," European Economic Review, Elsevier, vol. 154(C).
    5. Lukas Altermatt, 2022. "Inside Money, Investment, And Unconventional Monetary Policy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(4), pages 1527-1560, November.
    6. Rocheteau, Guillaume & Wright, Randall & Xiaolin Xiao, Sylvia, 2018. "Open market operations," Journal of Monetary Economics, Elsevier, vol. 98(C), pages 114-128.
    7. Aleksander Berentsen & Alessandro Marchesiani & Christopher Waller, 2014. "Floor Systems for Implementing Monetary Policy: Some Unpleasant Fiscal Arithmetic," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(3), pages 523-542, July.
    8. Chao Gu & Fabrizio Mattesini & Randall Wright, 2016. "Money and Credit Redux," Econometrica, Econometric Society, vol. 84, pages 1-32, January.
    9. Huber, Samuel & Kim, Jaehong, 2017. "On the optimal quantity of liquid bonds," Journal of Economic Dynamics and Control, Elsevier, vol. 79(C), pages 184-200.
    10. Berentsen, Aleksander & Kraenzlin, Sébastien & Müller, Benjamin, 2018. "Exit strategies for monetary policy," Journal of Monetary Economics, Elsevier, vol. 99(C), pages 20-40.
    11. Athanasios Geromichalos & Lucas Herrenbrueck, 2017. "The Liquidity-Augmented Model of Macroeconomic Aggregates," Discussion Papers dp17-16, Department of Economics, Simon Fraser University.
    12. Athanasios Geromichalos & Lucas Herrenbrueck, 2022. "The Liquidity-Augmented Model of Macroeconomic Aggregates: A New Monetarist DSGE Approach," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 45, pages 134-167, July.
    13. Benigno, Pierpaolo & Robatto, Roberto, 2019. "Private money creation, liquidity crises, and government interventions," Journal of Monetary Economics, Elsevier, vol. 106(C), pages 42-58.
    14. Stephen D. Williamson & Randall Wright, 2010. "New monetarist economics: methods," Review, Federal Reserve Bank of St. Louis, vol. 92(May), pages 265-302.
    15. Berentsen, Aleksander & Huber, Samuel & Marchesiani, Alessandro, 2016. "The societal benefit of a financial transaction tax," European Economic Review, Elsevier, vol. 89(C), pages 303-323.
    16. Zachary Bethune & Guillaume Rocheteau & Tsz-Nga Wong & Cathy Zhang, 2022. "Lending Relationships and Optimal Monetary Policy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(4), pages 1833-1872.
    17. 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.
    18. Herrenbrueck, Lucas, 2014. "Quantitative Easing and the Liquidity Channel of Monetary Policy," MPRA Paper 70686, University Library of Munich, Germany, revised 10 Apr 2016.
    19. Matsuoka, Tarishi, 2022. "Asset prices and standing facilities in a monetary economy," Journal of Economic Dynamics and Control, Elsevier, vol. 135(C).
    20. Athanasios Geromichalos & Lucas Herrenbrueck & Sukjoon Lee, 2023. "The Strategic Determination of the Supply of Liquid Assets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 49, pages 1-36, July.

    More about this item

    Keywords

    Monetary policy; Interest on reserves; Banking regulations;
    All these keywords.

    JEL classification:

    • 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
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies

    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:eee:jetheo:v:196:y:2021:i:c:s0022053121001368. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

    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.