DP5094 Money Supply and the Implementation of Interest Rate Targets

Author(s): Andreas Schabert
Publication Date: June 2005
Keyword(s): contingent money supply, interest rate inertia, interest rate rules, macroeconomic stability, policy equivalence
JEL(s): E32, E41, E52
Programme Areas: International Macroeconomics
Link to this Page: cepr.org/active/publications/discussion_papers/dp.php?dpno=5094

In this paper, we analyze the relation between interest rate targets and money supply in a (bubble-free) rational expectation equilibrium of a standard cash-in-advance model. We examine contingent monetary injections aimed to implement interest rate sequences that satisfy interest rate target rules. An interest rate target with a positive inflation feedback in general corresponds to money growth rates rising with inflation. When prices are not completely flexible, this implies that a non-destabilizing money supply cannot implement a forward-looking and active interest rate rule. This principle also applies for an alternative model version with an interest elastic money demand. The implementation of a Taylor rule then requires a money supply that leads to explosive or oscillatory equilibrium sequences. In contrast, an inertial interest rate target can be implemented by a non-destabilizing money supply, even if the inflation feedback exceeds one, which is often found in interest rate rule regressions.