Tag Archives: Friedman rule

“Money and Banking with Reserves and CBDC,” JF, 2024

Journal of Finance. HTML (local copy).

Abstract:

We analyze the role of retail central bank digital currency (CBDC) and reserves when banks exert deposit market power and liquidity transformation entails externalities. Optimal monetary architecture minimizes the social costs of liquidity provision and optimal monetary policy follows modified Friedman rules. Interest rates on reserves and CBDC should differ. Calibrations robustly suggest that CBDC provides liquidity more efficiently than deposits unless the central bank must refinance banks and this is very costly. Accordingly, the optimal share of CBDC in payments tends to exceed that of deposits.

“Money and Banking with Reserves and CBDC,” CEPR, 2023

CEPR Discussion Paper 18444, September 2023. HTML (local copy).

Abstract:

We analyze the role of retail central bank digital currency (CBDC) and reserves when banks exert deposit market power and liquidity transformation entails externalities. Optimal monetary architecture minimizes the social costs of liquidity provision and optimal monetary policy follows modified Friedman (1969) rules. Interest rates on reserves and CBDC should differ. Calibrations robustly suggest that CBDC provides liquidity more efficiently than deposits unless the central bank must refinance banks and this is very costly. Accordingly, the optimal share of CBDC in payments tends to exceed that of deposits.

“Money and Banking with Reserves and CBDC,” UniBe, 2022

UniBe Discussion Paper 22-12, October 2022. PDF.

We analyze retail central bank digital currency (CBDC) in a two-tier monetary system with bank deposit market power and externalities from liquidity transformation. Resource costs of liquidity provision determine the optimal monetary architecture and modified Friedman (1969) rules the optimal monetary policy. Optimal interest rates on reserves and CBDC differ. A calibration for the U.S. suggests a weak case for CBDC in the baseline but a much clearer case when too-big-to-fail banks, tax distortions or instrument restrictions are present. Depending on central bank choices CBDC raises U.S. bank funding costs by up to 1.5 percent of GDP.

“Monetary Policy with Reserves and CBDC: Optimality, Equivalence, and Politics,” CEPR, 2020

CEPR Discussion Paper 15457, November 2020. PDF (local copy).

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.

Harmless Deflation

John Cochrane argues in the Wall Street Journal that deflation fears are overblown. His main points are:

  • According to the Friedman rule, low deflation is beneficial.
  • Sticky wages only cause problems if the deflation rate exceeds the rate of productivity growth. This is not in the cards.
  • Similarly, the debt burden does not rise dramatically when prices fall by only two percent per annum say.
  • Low deflation limits the flexibility of monetary policy but that’s ok.
  • Implosive deflation spirals of the type feared by commentators have never been observed. They cannot happen because investors who hold government bonds would sell the securities (fearing default) and try to buy goods instead.