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A Macroeconomic Model of Central Bank Digital Currency

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Abstract

We develop a quantitative New Keynesian DSGE model to study the introduction of a central bank digital currency (CBDC): government-backed digital money available to retail consumers. At the heart of our model are monopolistic banks with market power in deposit and loan markets. When a CBDC is introduced, households benefit from an expansion of liquidity services and higher deposit rates as bank deposit market power is curtailed. However, deposits also flow out of the banking system and bank lending contracts. We assess this welfare trade-off for a wide range of economies that differ in their level of interest rates. We find substantial welfare gains from introducing a CBDC with an optimal interest rate that can be approximated by a simple rule of thumb: the maximum between 0% and the policy rate minus 1%.

Suggested Citation

  • Pascal Paul & Mauricio Ulate & Jing Cynthia Wu, 2024. "A Macroeconomic Model of Central Bank Digital Currency," Working Paper Series 2024-11, Federal Reserve Bank of San Francisco.
  • Handle: RePEc:fip:fedfwp:98046
    DOI: 10.24148/wp2024-11
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    References listed on IDEAS

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    1. 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).
    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. Keister, Todd & Monnet, Cyril, 2022. "Central bank digital currency: Stability and information," Journal of Economic Dynamics and Control, Elsevier, vol. 142(C).
    4. Michael Schwert, 2020. "Does Borrowing from Banks Cost More than Borrowing from the Market?," Journal of Finance, American Finance Association, vol. 75(2), pages 905-947, April.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    central banks; digital currencies; banks; DSGE models; monetary policy; central bank;
    All these keywords.

    JEL classification:

    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
    • E5 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G51 - Financial Economics - - Household Finance - - - Household Savings, Borrowing, Debt, and Wealth

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