Monetary Policy with Reserves and CBDC: Optimality, Equivalence, and Politics

Working Paper: CEPR ID: DP15457

Authors: Dirk Niepelt

Abstract: 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.

Keywords: reserves; deposits; central bank digital currency; monetary policy; Friedman rule; equivalence; Ramsey policy; bank profits; money creation

JEL Codes: E42; E43; E51; E52; G21


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
introduction of CBDC (E42)equilibrium allocations (D51)
introduction of CBDC (E42)price systems (P22)
deposit-based payment system (E42)higher taxes (H29)
optimal policy rules (E61)account for implicit subsidies (H23)
liquidity benefits = social costs of managing liquidity (J32)optimal policy rules (E61)

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