Does the federal funds rate respond to shocks when aggregate reserves are in the trillions of dollars? Has banks' demand for reserves moved over time? We provide a structural time-varying estimate of the slope of the reserve demand curve over 2010-21. We estimate a time-varying vector...

This paper provides an analytically tractable theoretical framework to study the optimal supply of central bank reserves when the demand for reserves is uncertain and nonlinear. We fully characterize the optimal supply of central bank reserves and associated market equilibrium. We find that the...