Staff Reports
The Optimal Supply of Central Bank Reserves Under Uncertainty
Number 1077
November 2023 Revised December 2025

JEL classification: E52, E58, E41, E42

Authors: Gara Afonso, Gabriele La Spada, Thomas M. Mertens, and John C. Williams

We provide an analytically tractable theoretical model for the optimal supply of reserves and the design of standing liquidity facilities under uncertainty about banks’ demand for reserves. Absent a lending facility, uncertainty creates a precautionary motive to supply additional reserves. Introducing a lending facility generates a tradeoff between rate control and market disintermediation. If the facility rate is set optimally, the presence of the facility reduces the optimal supply of reserves. If the central bank cannot set the lending rate optimally, the optimal supply of reserves can be higher or lower than absent a facility.

Full Article
Author Disclosure Statement(s)
Gara Afonso
Gara Afonso declares that she has no relevant or material financial interests that relate to the research described in this paper. Prior to circulation, this paper was reviewed in accordance with the Federal Reserve Bank of New York review policy, available at https://www.newyorkfed.org/research/staff_reports/index.html.

Gabriele La Spada
The author declares that he has no relevant or material financial interests that relate to the research described in this paper. Prior to circulation, this paper was reviewed in accordance with the Federal Reserve Bank of New York review policy, available at https://www.newyorkfed.org/research/staff_reports/index.html.

Thomas M. Mertens
The author declares that he has no relevant or material financial interests that relate to the research described in this paper.

John C. Williams
The author declares that he has no relevant or material financial interests that relate to the research described in this paper.
Suggested Citation:
Afonso, Gara, Gabriele La Spada, Thomas M. Mertens, and John C. Williams. 2023. “The Optimal Supply of Central Bank Reserves under Uncertainty.” Federal Reserve Bank of New York Staff Reports, no. 1077, November. https://doi.org/10.59576/sr.1077

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