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

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Andrew P Blake
Fabrizio Zampolli

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Abstract

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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Handle: RePEc:boe:boeewp:298

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  1. 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. [Downloadable!]
  2. Lars Svensson & Noah Williams, 2005. "Monetary Policy with Model Uncertainty: Distribution Forecast Targeting," NBER Working Papers 11733, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  3. Fershtman, Chaim, 1989. "Fixed rules and decision rules : Time consistency and subgame perfection," Economics Letters, Elsevier, vol. 30(3), pages 191-194, September. [Downloadable!] (restricted)
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  4. repec:cup:macdyn:v:8:y:2004:i:1:p:27-50 is not listed on IDEAS
  5. Richard Dennis & Ulf Soderstrom, 2002. "How important is precommitment for monetary policy?," Working Papers in Applied Economic Theory 2002-10, Federal Reserve Bank of San Francisco. [Downloadable!]
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  6. 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. [Downloadable!]
  7. Leitemo, Kai & Soderstrom, Ulf, 2005. "Simple monetary policy rules and exchange rate uncertainty," Journal of International Money and Finance, Elsevier, vol. 24(3), pages 481-507, April. [Downloadable!] (restricted)
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  8. Stephen Morris & Hyun Song Shin, 2002. "Social Value of Public Information," American Economic Review, American Economic Association, vol. 92(5), pages 1521-1534, December. [Downloadable!]
  9. Gilles Oudiz & Jeffrey Sachs, 1985. "International Policy Coordination In Dynamic Macroeconomic Models," NBER Chapters, in: International Economic Policy Coordination, pages 274-330 National Bureau of Economic Research, Inc. [Downloadable!]
  10. 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. [Downloadable!] (restricted)
  11. Marcet, A. & Marimon, R., 1998. "Recursive Contracts," Economics Working Papers eco98/37, European University Institute.
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  12. Zampolli, Fabrizio, 2006. "Optimal monetary policy in a regime-switching economy: The response to abrupt shifts in exchange rate dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1527-1567. [Downloadable!] (restricted)
  13. 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. [Downloadable!]
  14. 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. [Downloadable!] (restricted)
  15. 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. [Downloadable!]
  16. Richard Dennis, 2001. "Optimal policy in rational-expectations models: new solution algorithms," Working Papers in Applied Economic Theory 2001-09, Federal Reserve Bank of San Francisco. [Downloadable!]
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  17. Roberds, William, 1987. "Models of Policy under Stochastic Replanning," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(3), pages 731-55, October. [Downloadable!] (restricted)
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  1. André P. Calmon & Thomas Vallée & João B. R. Do Val, 2009. "Monetary policy as a source of uncertainty," Working Papers hal-00422454_v1, HAL. [Downloadable!]
  2. Richhild Moessner, . "Optimal discretionary policy in rational expectations models with regime switching," Bank of England working papers 299, Bank of England. [Downloadable!]
  3. Roger E.A. Farmer & Daniel F. Waggoner & Tao Zha, 2009. "Understanding Markov-switching rational expectations models," Working Paper 2009-05, Federal Reserve Bank of Atlanta. [Downloadable!]
    Other versions:
  4. Troy Davig, 2007. "Phillips curve instability and optimal monetary policy," Research Working Paper RWP 07-04, Federal Reserve Bank of Kansas City. [Downloadable!]
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