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On the implementation of Markov-perfect monetary policy

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  • Michael Dotsey
  • Andreas Hornstein

Abstract

The literature on optimal monetary policy in New Keynesian models under both commitment and discretion usually solves for the optimal allocations that are consistent with a rational expectations market equilibrium, but it does not study whether the policy can be implemented given the available policy instruments. Recently, King and Wolman (2004) have provided an example for which 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 and they attribute the non-uniqueness to strategic complementarities in the price-setting process. The authors clarify how the choice of monetary policy instrument contributes to the emergence of strategic complementarities in the King and Wolman (2004) example. In particular, they show that for an alternative monetary policy instrument, namely, the nominal interest rate, there exists a unique Markov-perfect equilibrium. The authors also discuss how a time-consistent planner can implement the optimal allocation by simply announcing his policy rule in a decentralized setting.

Suggested Citation

  • Michael Dotsey & Andreas Hornstein, 2011. "On the implementation of Markov-perfect monetary policy," Working Papers 11-29, Federal Reserve Bank of Philadelphia.
  • Handle: RePEc:fip:fedpwp:11-29
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    References listed on IDEAS

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    1. Bernardino Adão & Isabel Correia & Pedro Teles, 2003. "Gaps and Triangles," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(4), pages 699-713.
    2. 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.
    3. McCallum, Bennett T., 1986. "Some issues concerning interest rate pegging, price level determinacy, and the real bills doctrine," Journal of Monetary Economics, Elsevier, vol. 17(1), pages 135-160, January.
    4. 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).
    5. 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.
    6. 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.
    7. Charles T. Carlstrom & Timothy S. Fuerst, 1998. "Price-level and interest-rate targeting in a model with sticky prices," Working Papers (Old Series) 9819, Federal Reserve Bank of Cleveland.
    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 241-254, April.
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    Cited by:

    1. Roc Armenter, 2013. "The perils of nominal targets," Working Papers 14-2, Federal Reserve Bank of Philadelphia.
    2. Volker Hahn, 2021. "Discretionary policy and multiple equilibria in a new Keynesian model," Oxford Economic Papers, Oxford University Press, vol. 73(1), pages 423-445.
    3. Roc Armenter, 2014. "The Perils of Nominal Targets," 2014 Meeting Papers 428, Society for Economic Dynamics.

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    Keywords

    Monetary policy; Interest rates; Money supply;
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