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On the implementation of Markov-Perfect interest rate and money supply rules : global and local uniqueness

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  • Michael Dotsey
  • Andreas Hornstein

Abstract

Currently there is a growing literature exploring the features of optimal monetary policy in New Keynesian models under both commitment and discretion. This literature usually solves for the optimal allocations that are consistent with a rational expectations market equiibrium, but it does not study how the policy can be implemented given the available policy instruments. Recently, however, King and Wolman (2004) have shown that a time-consistent policy cannot be implemented through the control of nominal money balances. In particular, they find that equilibria are not unique under a money stock regime. We find that their conclusion of non-uniqueness of Markov-perfect equilibria is sensitive to the instrument of choice. Surprisingly, if, instead, the monetary authority chooses the nominal interest rate, there exists a unique Markov-perfect equilibrium. We then investigate under what conditions a time-consistent planner can implement the optimal allocation by simply announcing his policy rule in a decentralized setting.

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  • Michael Dotsey & Andreas Hornstein, 2011. "On the implementation of Markov-Perfect interest rate and money supply rules : global and local uniqueness," Working Paper 09-06, Federal Reserve Bank of Richmond.
    • Handle: RePEc:fip:fedrwp:09-06
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    Cited by:

    1. Stefan Niemann & Paul Pichler & Gerhard Sorger, 2013. "Central Bank Independence And The Monetary Instrument Problem," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(3), pages 1031-1055, August.
    2. Dennis, Richard & Kirsanova, Tatiana, 2010. "Expectations Traps and Coordination Failures: Selecting among Multiple Discretionary Equilibria," MPRA Paper 24616, University Library of Munich, Germany.
    3. Willem Van Zandweghe & Alexander L. Wolman, 2019. "Discretionary monetary policy in the Calvo model," Quantitative Economics, Econometric Society, vol. 10(1), pages 387-418, January.

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    Monetary policy; Interest rates;

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