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Central Bank Reserves and the Balance Sheet of Banks

Author

Listed:
  • Hans Gersbach

  • Jean-Charles Rochet

  • Ernst-Ludwig von Thadden

Abstract

We introduce a tractable model of the two-tier monetary system with heterogeneous agents and incomplete markets. We use this model to characterize the dynamics of bank lending under general fiscal and monetary policy and derive the welfare optimal level of Central Bank reserves and the optimal interest rate on reserves. We also identify a new risk channel of monetary policy. In the model, banks have a dual role as loan providers and money creators, and cannot fully diversify credit risk. Central Bank reserves are used to settle interbank claims and serve as a safe asset, thereby buffering risks for banks. We show how the Central Bank and the Treasury can implement any desired allocation by setting interest rates, issuing a particular amount of reserves, and imposing taxes, and show that uncoordinated policy responses to shocks by the Central Bank alone may cause sub-optimal outcomes and significant instability.

Suggested Citation

  • Hans Gersbach & Jean-Charles Rochet & Ernst-Ludwig von Thadden, 2026. "Central Bank Reserves and the Balance Sheet of Banks," CRC TR 224 Discussion Paper Series crctr224_2025_765, University of Bonn and University of Mannheim, Germany.
  • Handle: RePEc:bon:boncrc:crctr224_2025_765
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    References listed on IDEAS

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    1. Adam B. Ashcraft & Darrell Duffie, 2007. "Systemic Illiquidity in the Federal Funds Market," American Economic Review, American Economic Association, vol. 97(2), pages 221-225, May.
    2. Salomon Faure & Hans Gersbach, 2021. "On the money creation approach to banking," Annals of Finance, Springer, vol. 17(3), pages 265-318, September.
    3. Biais, Bruno & Gersbach, Hans & Rochet, Jean-Charles & von Thadden, Ernst-Ludwig & Villeneuve, Stéphane, 2024. "Dynamic Contracting with Many Agents," HEC Research Papers Series 1516, HEC Paris.
    4. Gara Afonso & Hyun Song Shin, 2011. "Precautionary Demand and Liquidity in Payment Systems," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 589-619, October.
    5. James J. McAndrews & Simon M. Potter, 2002. "Liquidity effects of the events of September 11, 2001," Economic Policy Review, Federal Reserve Bank of New York, vol. 8(Nov), pages 59-79.
    6. Ricardo Reis & Silvana Tenreyro, 2022. "Helicopter Money: What Is It and What Does It Do?," Annual Review of Economics, Annual Reviews, vol. 14(1), pages 313-335, August.
    7. 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.
    8. Ricardo Correa & Wenxin Du & Gordon Y. Liao, 2025. "US Banks and Global Liquidity," Journal of Political Economy Macroeconomics, University of Chicago Press, vol. 3(4), pages 574-620.
    9. Pierpaolo Benigno, 2020. "A Central Bank Theory of Price Level Determination," American Economic Journal: Macroeconomics, American Economic Association, vol. 12(3), pages 258-283, July.
    10. Adam Ashcraft & James Mcandrews & David Skeie, 2011. "Precautionary Reserves and the Interbank Market," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(s2), pages 311-348, October.
    11. Morten L. Bech, 2008. "Intraday liquidity management: a tale of games banks play," Economic Policy Review, Federal Reserve Bank of New York, vol. 14(Sep), pages 7-23.
    12. Pierpaolo Benigno & Salvatore Nisticò, 2020. "Non-neutrality of Open-Market Operations," American Economic Journal: Macroeconomics, American Economic Association, vol. 12(3), pages 175-226, July.
    13. Hamilton, James D, 1996. "The Daily Market for Federal Funds," Journal of Political Economy, University of Chicago Press, vol. 104(1), pages 26-56, February.
    14. 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.
    15. Bech, Morten L. & Garratt, Rod, 2003. "The intraday liquidity management game," Journal of Economic Theory, Elsevier, vol. 109(2), pages 198-219, April.
    16. 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.
    17. Vladimir Yankov, 2024. "In Search of a Risk‐Free Asset: Search Costs and Sticky Deposit Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 56(5), pages 1053-1098, August.
    18. Mark L. Egan & Ali Hortaçsu & Nathan A. Kaplan & Adi Sunderam & Vincent Yao, 2025. "Dynamic Competition for Sleepy Deposits," NBER Working Papers 34267, National Bureau of Economic Research, Inc.
    19. Gara Afonso & Anna Kovner & Antoinette Schoar, 2011. "Stressed, Not Frozen: The Federal Funds Market in the Financial Crisis," Journal of Finance, American Finance Association, vol. 66(4), pages 1109-1139, August.
    20. Bronson Argyle & Benjamin Iverson & Jason D. Kotter & Taylor D. Nadauld & Christopher Palmer, 2026. "The Dynamics of Retail Deposit Balances," NBER Working Papers 34742, National Bureau of Economic Research, Inc.
    21. Julio J. Rotemberg, 1982. "Monopolistic Price Adjustment and Aggregate Output," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(4), pages 517-531.
    22. Michele Cavallo & Marco Del Negro & W. Scott Frame & Jamie Grasing & Benjamin A. Malin & Carlo Rosa, 2019. "Fiscal Implications of the Federal Reserve's Balance Sheet Normalization," International Journal of Central Banking, International Journal of Central Banking, vol. 15(5), pages 255-306, December.
    23. Lucas, Robert E, Jr, 1980. "Equilibrium in a Pure Currency Economy," Economic Inquiry, Western Economic Association International, vol. 18(2), pages 203-220, April.
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    Keywords

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    JEL classification:

    • E42 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Monetary Systems; Standards; Regimes; Government and the Monetary System
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E50 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - General

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