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Understanding Markov-switching rational expectations models

  • Farmer, Roger E.A.
  • Waggoner, Daniel F.
  • Zha, Tao

We develop a set of necessary and sufficient conditions for equilibria to be determinate in a class of forward-looking Markov-switching rational expectations models and we develop an algorithm to check these conditions in practice. We use three examples, based on the new-Keynesian model of monetary policy, to illustrate our technique. Our work connects applied econometric models of Markov-switching with forward looking rational expectations models and allows an applied researcher to construct the likelihood function for models in this class over a parameter space that includes a determinate region and an indeterminate region.

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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 144 (2009)
Issue (Month): 5 (September)
Pages: 1849-1867

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Handle: RePEc:eee:jetheo:v:144:y:2009:i:5:p:1849-1867
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  1. 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.
  2. Lubik, Thomas A. & Schorfheide, Frank, 2003. "Computing sunspot equilibria in linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 273-285, November.
  3. Richard Clarida & Jordi Galí & Mark Gertler, 1997. "Monetary policy rules and macroeconomic stability: Evidence and some theory," Economics Working Papers 350, Department of Economics and Business, Universitat Pompeu Fabra, revised May 1999.
  4. Timothy Cogley & Thomas J. Sargent, 2003. "Drifts and volatilities: monetary policies and outcomes in the post WWII U.S," FRB Atlanta Working Paper 2003-25, Federal Reserve Bank of Atlanta.
  5. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March.
  6. Leeper, Eric M., 1991. "Equilibria under 'active' and 'passive' monetary and fiscal policies," Journal of Monetary Economics, Elsevier, vol. 27(1), pages 129-147, February.
  7. Roger E. A. Farmer & Daniel F. Waggoner & Tao Zha, 2008. "Generalizing the Taylor principle: comment," FRB Atlanta Working Paper 2008-19, Federal Reserve Bank of Atlanta.
  8. Andrew P Blake & Fabrizio Zampolli, 2006. "Optimal monetary policy in Markov-switching models with rational expectations agents," Bank of England working papers 298, Bank of England.
  9. Christopher A. Sims & Tao Zha, 2004. "Were there regime switches in U.S. monetary policy?," FRB Atlanta Working Paper 2004-14, Federal Reserve Bank of Atlanta.
  10. Troy Davig & Eric M. Leeper, 2007. "Generalizing the Taylor Principle," American Economic Review, American Economic Association, vol. 97(3), pages 607-635, June.
  11. Roger E. A. Farmer & Daniel F. Waggoner & Tao Zha, 2006. "Indeterminacy in a Forward Looking Regime Switching Model," NBER Working Papers 12540, National Bureau of Economic Research, Inc.
  12. Thomas Lubik & Frank Schorfheide, 2002. "Testing for Indeterminacy:An Application to U.S. Monetary Policy," Economics Working Paper Archive 480, The Johns Hopkins University,Department of Economics, revised Jun 2003.
  13. Eric M. Leeper & Tao Zha, 2003. "Modest policy interventions," FRB Atlanta Working Paper 2003-24, Federal Reserve Bank of Atlanta.
  14. Zheng Liu & Daniel Waggoner & Tao Zha, 2009. "Asymmetric Expectation Effects of Regime Shifts in Monetary Policy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(2), pages 284-303, April.
  15. Troy Davig & Eric M. Leeper, 2007. "Fluctuating Macro Policies and the Fiscal Theory," NBER Chapters, in: NBER Macroeconomics Annual 2006, Volume 21, pages 247-316 National Bureau of Economic Research, Inc.
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