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

  • Michael Dotsey
  • Andreas Hornstein

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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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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  1. Bernardino Adao & Isabel Correia & Pedro Teles, 2003. "Gaps and Triangles," Review of Economic Studies, Wiley Blackwell, vol. 70(4), pages 699-713, October.
  2. R. King & A. Wolman, 2003. "Monetary discretion, pricing complementarity and dynamic multiple equilibria," Proceedings, Board of Governors of the Federal Reserve System (U.S.).
  3. 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.
  4. 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.
  5. 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).
  6. Marc P. Giannoni & Michael Woodford, 2003. "Optimal Interest-Rate Rules: I. General Theory," NBER Working Papers 9419, National Bureau of Economic Research, Inc.
  7. 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.
  8. 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.
  9. 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.
  10. 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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