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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 equilibrium, 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. The authors of this paper find that King and Wolman's 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. The authors then investigate under what conditions a time-consistent planner can implement the optimal allocation by just announcing his policy rule in a decentralized setting.

Suggested Citation

  • Michael Dotsey & Andreas Hornstein, 2008. "On the implementation of Markov-perfect interest rate and money supply rules: global and local uniqueness," Working Papers 08-30, Federal Reserve Bank of Philadelphia.
    • Handle: RePEc:fip:fedpwp:08-30
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    References listed on IDEAS

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    1. Andrew Atkeson & V. V. Chari & Patrick J. Kehoe, 2007. "On the optimal choice of a monetary policy instrument," Staff Report 394, Federal Reserve Bank of Minneapolis.
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    3. McCallum, Bennett T., 1983. "On non-uniqueness in rational expectations models : An attempt at perspective," Journal of Monetary Economics, Elsevier, vol. 11(2), pages 139-168.
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    6. Robert G. King & Alexander L. Wolman, 2004. "Monetary Discretion, Pricing Complementarity, and Dynamic Multiple Equilibria," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(4), pages 1513-1553.
    7. Carlstrom, Charles T. & Fuerst, Timothy S., 2001. "Timing and real indeterminacy in monetary models," Journal of Monetary Economics, Elsevier, vol. 47(2), pages 285-298, April.
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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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