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Optimal policy in Markov-switching rational expectations models

  • Blake, Andrew P.
  • Zampolli, Fabrizio

In this paper we consider the optimal quadratic control problem of Markov-switching linear rational expectation models. These models are general and flexible tools for modelling not only regime but also model or parameter uncertainty. We show, first, how to find the solution of a Markov-switching linear rational expectation model. Based on this solution we then show how to apply dynamic programming to find the optimal time-consistent policy and the resulting Nash-Stackelberg equilibrium. Suitable modifications of the algorithm allow to deal with the (non-RE) case in which the policymaker and the private sector hold different beliefs or probabilities over regime change. We also show how the optimisation procedure can be employed to obtain the optimal policy under commitment. As an illustration we compute the optimal policy in a small open economy subject to stochastic structural breaks in some of its key parameters.

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Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 35 (2011)
Issue (Month): 10 (October)
Pages: 1626-1651

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Handle: RePEc:eee:dyncon:v:35:y:2011:i:10:p:1626-1651
Contact details of provider: Web page: http://www.elsevier.com/locate/jedc

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  1. Noah Williams & Lars E.O. Svensson, 2005. "Monetary Policy with Model Uncertainty: Distribution Forecast Targeting," Computing in Economics and Finance 2005 108, Society for Computational Economics.
  2. 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.
  3. Richard Dennis, 2001. "Optimal policy in rational-expectations models: new solution algorithms," Working Paper Series 2001-09, Federal Reserve Bank of San Francisco.
  4. do Val, Joao B. R. & Basar, Tamer, 1999. "Receding horizon control of jump linear systems and a macroeconomic policy problem," Journal of Economic Dynamics and Control, Elsevier, vol. 23(8), pages 1099-1131, August.
  5. Söderlind, Paul, 1998. "Solution and Estimation of RE Macromodels with Optimal Policy," SSE/EFI Working Paper Series in Economics and Finance 256, Stockholm School of Economics.
  6. 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.
  7. 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.
  8. Troy Davig & Eric M. Leeper, 2005. "Generalizing the Taylor Principle," NBER Working Papers 11874, National Bureau of Economic Research, Inc.
  9. Batini, Nicoletta & Nelson, Edward, 2000. "Optimal Horizons for Inflation Targeting," Working Paper Series 103, Sveriges Riksbank (Central Bank of Sweden).
  10. Bennett T. McCallum, 1981. "On Non-Uniqueness in Rational Expectations Models: An Attempt at Perspective," NBER Working Papers 0684, National Bureau of Economic Research, Inc.
  11. 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.
  12. Fabrizio Zampolli & Andrew Blake, 2005. "Time Consistent Policy in Markov Switching Models," Money Macro and Finance (MMF) Research Group Conference 2005 2, Money Macro and Finance Research Group.
  13. J. Tetlow, Robert & von zur Muehlen, Peter, 2001. "Robust monetary policy with misspecified models: Does model uncertainty always call for attenuated policy?," Journal of Economic Dynamics and Control, Elsevier, vol. 25(6-7), pages 911-949, June.
  14. Lars E.O. Svensson & Noah Williams, 2008. "Optimal monetary policy under uncertainty: a Markov jump-linear-quadratic approach," Review, Federal Reserve Bank of St. Louis, issue Jul, pages 275-294.
  15. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
  16. Roger E.A. Farmer & Daniel F. Waggoner & Tao Zha, 2009. "Understanding Markov-switching rational expectations models," FRB Atlanta Working Paper No. 2009-05, Federal Reserve Bank of Atlanta.
  17. Richard Dennis & Ulf Soderstrom, 2002. "How important is precommitment for monetary policy?," Working Paper Series 2002-10, Federal Reserve Bank of San Francisco.
  18. Fershtman, C., 1988. "Fixed Rules And Decision Rules: Time Consistency And Subgame Perfection," Papers 12-88, Tel Aviv.
  19. McCallum, Bennett T., 1998. "Solutions to linear rational expectations models: a compact exposition," Economics Letters, Elsevier, vol. 61(2), pages 143-147, November.
  20. Roger E.A. Farmer & Daniel F. Waggoner & Tao Zha, 2008. "Generalizing the Taylor principle: comment," FRB Atlanta Working Paper No. 2008-19, Federal Reserve Bank of Atlanta.
  21. Thomas J. Sargent & LarsPeter Hansen, 2001. "Robust Control and Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 60-66, May.
  22. 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.
  23. 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.
  24. Noah Williams & Lars E.O. Svensson, 2007. "Bayesian and Adaptive Optimal Policy under Model Uncertainty," 2007 Meeting Papers 446, Society for Economic Dynamics.
  25. 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.
  26. Marcet, A. & Marimon, R., 1998. "Recursive Contracts," Economics Working Papers eco98/37, European University Institute.
  27. Binder, M. & Pesaran, H., 1996. "Multivariate Linear Rational Expectations Models: Characterisation of the Nature of the Solutions and Their Fully Recursive Computation," Cambridge Working Papers in Economics 9619, Faculty of Economics, University of Cambridge.
  28. Hansen, Lars Peter & Sargent, Thomas J., 2003. "Robust control of forward-looking models," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 581-604, April.
  29. Stephen Morris & Hyun Song Shin, 2002. "Social Value of Public Information," American Economic Review, American Economic Association, vol. 92(5), pages 1521-1534, December.
  30. Binder,M. & Pesaran,H.M., 1995. "Multivariate Rational Expectations Models and Macroeconomic Modelling: A Review and Some New Results," Cambridge Working Papers in Economics 9415, Faculty of Economics, University of Cambridge.
  31. 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.
  32. Andrew P. Blake, 2004. "Analytic Derivatives for Linear Rational Expectations Models," Computational Economics, Society for Computational Economics, vol. 24(1), pages 77-96, 08.
  33. Pearlman, Joseph G., 1992. "Reputational and nonreputational policies under partial information," Journal of Economic Dynamics and Control, Elsevier, vol. 16(2), pages 339-357, April.
  34. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, June.
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