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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.

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Bibliographic Info

Paper provided by Federal Reserve Bank of Philadelphia in its series Working Papers with number 08-30.

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Date of creation: 2008
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Handle: RePEc:fip:fedpwp:08-30

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Keywords: Markov processes;

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References

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  1. Charles T. Carlstrom & Timothy S. Fuerst, 1998. "Price-level and interest-rate targeting in a model with sticky prices," Working Paper 9819, Federal Reserve Bank of Cleveland.
  2. Boyd Iii, J.H. & Dotsey, M., 1990. "Interest Rate Rules And Nominal Determinacy," RCER Working Papers 222, University of Rochester - Center for Economic Research (RCER).
  3. Bernardino Ad�o & Isabel Correia & Pedro Teles, 2003. "Gaps and Triangles," Review of Economic Studies, Oxford University Press, vol. 70(4), pages 699-713.
  4. Robert G. King & Alexander L. Wolman, 2004. "Monetary Discretion, Pricing Complementarity, and Dynamic Multiple Equilibria," The Quarterly Journal of Economics, MIT Press, vol. 119(4), pages 1513-1553, November.
  5. 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.
  6. Bernardino Adao, 2000. "Gaps and Triangles," Econometric Society World Congress 2000 Contributed Papers 1904, Econometric Society.
  7. 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.
  8. Marc P. Giannoni & Michael Woodford, 2003. "Optimal Interest-Rate Rules: I. General Theory," Levine's Bibliography 506439000000000384, UCLA Department of Economics.
  9. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-91, June.
  10. Sargent, Thomas J & Wallace, Neil, 1975. ""Rational" Expectations, the Optimal Monetary Instrument, and the Optimal Money Supply Rule," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 241-54, April.
  11. Andrew Atkeson & V. V. Chari & Patrick J. Kehoe, 2007. "On the Optimal Choice of a Monetary Policy Instrument," NBER Working Papers 13398, National Bureau of Economic Research, Inc.
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Cited by:
  1. Richard Dennis & Tatiana Kirsanova, 2010. "Expectations Traps and Coordination Failures:Selecting Among Multiple Discretionary Equilibria," CAMA Working Papers 2010-02, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
  2. Willem Van Zandweghe & Alexander Wolman, 2011. "Discretionary monetary policy in the Calvo model," Working Paper 11-03, Federal Reserve Bank of Richmond.
  3. 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, pages 1031-1055, 08.

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