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Tag Archives: Equivalence

“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...

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“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...

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“Reserves For All? Central Bank Digital Currency, Deposits, and their (Non)-Equivalence,” IJCB, 2020

International Journal of Central Banking. PDF. This paper offers a macroeconomic perspective on the “Reserves for All” (RFA) proposal to let the general public hold electronic central bank money and transact with it. I propose an equivalence result according to which a marginal substitution of outside money (e.g., RFA) for inside money (e.g., deposits) does not affect macroeconomic outcomes. I identify key conditions for equivalence and argue that these conditions likely are...

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“On the Equivalence of Private and Public Money,” JME, 2019

Journal of Monetary Economics, with Markus Brunnermeier. PDF. When does a swap between private and public money leave the equilibrium allocation and price system unchanged? To answer this question, the paper sets up a generic model of money and liquidity which identifies sources of seignorage rents and liquidity bubbles. We derive sufficient conditions for equivalence and apply them in the context of the “Chicago Plan”, cryptocurrencies, the Indian de-monetization experiment, and Central...

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“On the Equivalence of Private and Public Money,” JME, 2019

Accepted for publication in the Journal of Monetary Economics, with Markus Brunnermeier. (NBER wp.) When does a swap between private and public money leave the equilibrium allocation and price system unchanged? To answer this question, the paper sets up a generic model of money and liquidity which identifies sources of seignorage rents and liquidity bubbles. We derive sufficient conditions for equivalence and apply them in the context of the “Chicago Plan”, cryptocurrencies, the Indian...

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“Digitales Zentralbankgeld (Central Bank Digital Currency),” FuW, 2019

Finanz und Wirtschaft, June 29, 2019. PDF. It is not central bank digital currency (CBDC) per se which might act as a game changer in financial markets. What will be key is how central banks accommodate the introduction of CBDC. In principle, this accommodation can go very far, to the point where the introduction of CBDC does not affect macroeconomic outcomes. But such complete accommodation is unlikely. On the one hand, central banks will want to exploit the new monetary policy options...

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“On the Equivalence of Private and Public Money,” CEPR, 2019

CEPR Discussion Paper 13778, June 2019, with Markus Brunnermeier. PDF. (Local copy of NBER wp.) We develop a generic model of money and liquidity that identifies sources of liquidity bubbles and seignorage rents. We provide sufficient conditions under which a swap of monies leaves the equilibrium allocation and price system unchanged. We apply the equivalence result to the “Chicago Plan,” cryptocurrencies, the Indian de-monetization experiment, and Central Bank Digital Currency (CBDC). In...

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“On the Equivalence of Private and Public Money,” NBER, 2019

NBER Working Paper 25877, May 2019, with Markus Brunnermeier. PDF. (Local copy.) We develop a generic model of money and liquidity that identifies sources of liquidity bubbles and seignorage rents. We provide sufficient conditions under which a swap of monies leaves the equilibrium allocation and price system unchanged. We apply the equivalence result to the “Chicago Plan,” cryptocurrencies, the Indian de-monetization experiment, and Central Bank Digital Currency (CBDC). In particular, we...

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“Public versus Private Digital Money: Macroeconomic (Ir)relevance,” VoxEU, 2019

VoxEU, March 20, 2019, with Markus Brunnermeier. HTML. Both proponents and opponents have suggested that CBDC would fundamentally change the macroeconomy, either for the better or the worse. We question this paradigm. We derive an equivalence result according to which the introduction of CBDC need not alter the allocation nor the price system. And we argue that key concerns put forward in discussions about CBDC are misplaced. See also our VoxEU book chapter and my paper from last year.

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