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Optimal monetary policy in Markov-switching models with rational expectations agents

  • Andrew P Blake
  • Fabrizio Zampolli

In this paper we consider the optimal control problem of models with Markov regime shifts and forward-looking agents. These models are very general and flexible tools for modelling model uncertainty. An algorithm is devised to compute the solution of a linear rational expectations model with random parameters or regime shifts. This algorithm can also be applied in the optimisation of any arbitrary instrument rule. A second algorithm computes the time-consistent policy and the resulting Nash-Stackelberg equilibrium. Similar methods can be easily employed to compute the optimal policy under commitment. Furthermore, the algorithms can also handle the case in which the policymaker and the private sector hold different beliefs. We apply these methods to compute the optimal (non-linear) monetary policy in a small open economy subject to random structural breaks in some of its key parameters.

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Paper provided by Bank of England in its series Bank of England working papers with number 298.

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Date of creation: Jun 2006
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Handle: RePEc:boe:boeewp:298
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  1. William Roberds, 1986. "Models of policy under stochastic replanning," Staff Report 104, Federal Reserve Bank of Minneapolis.
  2. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July.
  3. Svensson, Lars E. O. & Williams, Noah, 2005. "Monetary policy with model uncertainty: distribution forecast targeting," Discussion Paper Series 1: Economic Studies 2005,35, Deutsche Bundesbank, Research Centre.
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  5. Sharon Kozicki, 2004. "How do data revisions affect the evaluation and conduct of monetary policy?," Economic Review, Federal Reserve Bank of Kansas City, issue Q I, pages 5-38.
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  7. Marcet, A. & Marimon, R., 1998. "Recursive Contracts," Economics Working Papers eco98/37, European University Institute.
  8. Ulf Soderstrom & Richard Dennis, 2003. "How Important is Precommitment for Monetary Policy?," Computing in Economics and Finance 2003 49, Society for Computational Economics.
  9. Christophe Planas & Alessandro Rossi, 2004. "Can inflation data improve the real-time reliability of output gap estimates?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(1), pages 121-133.
  10. Fershtman, Chaim, 1989. "Fixed rules and decision rules : Time consistency and subgame perfection," Economics Letters, Elsevier, vol. 30(3), pages 191-194, September.
  11. Backus, David & Driffill, John, 1986. "The Consistency of Optimal Policy in Stochastic Rational Expectations Models," CEPR Discussion Papers 124, C.E.P.R. Discussion Papers.
  12. Gonzalez F. & Rodriguez A. & Gonzalez-Garcia J.R., 2005. "Uncertainty about the Persistence of Periods with Large Price Shocks and the Optimal Reaction of the Monetary Authority," Computing in Economics and Finance 2005 402, Society for Computational Economics.
  13. Leitemo, Kai & Söderström, Ulf, 2001. "Simple Monetary Policy Rules and Exchange Rate Uncertainty," Working Paper Series 122, Sveriges Riksbank (Central Bank of Sweden).
  14. Stephen Morris & Hyun Song Shin, 2002. "Social Value of Public Information," American Economic Review, American Economic Association, vol. 92(5), pages 1521-1534, December.
  15. Fabrizio Zampolli, 2006. "Optimal monetary policy in a regime-switching economy: the response to abrupt shifts in exchange rate dynamics," Bank of England working papers 297, Bank of England.
  16. Andrew P. Blake, 2004. "Analytic Derivatives for Linear Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 24(1), pages 77-96, 08.
  17. Richard Dennis, 2001. "Optimal policy in rational-expectations models: new solution algorithms," Working Paper Series 2001-09, Federal Reserve Bank of San Francisco.
  18. Swanson, Eric T., 2004. "Signal Extraction And Non-Certainty-Equivalence In Optimal Monetary Policy Rules," Macroeconomic Dynamics, Cambridge University Press, vol. 8(01), pages 27-50, February.
  19. Arnulfo Rodríguez & Fidel González & Jesús R. González García, 2007. "Uncertainty about the Persistence of Cost-Push Shocks and the Optimal Reaction of the Monetary Authority," Working Papers 2007-05, Banco de México.
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