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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
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. Troy Davig & Eric M. Leeper, 2005. "Generalizing the Taylor principle," Research Working Paper RWP 05-13, Federal Reserve Bank of Kansas City.
  2. Richard Clarida & Jordi Gali & Mark Gertler, 1998. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," NBER Working Papers 6442, National Bureau of Economic Research, Inc.
  3. Eric M. Leeper & Tao Zha, 2002. "Modest policy interventions," Working Paper 2002-19, Federal Reserve Bank of Atlanta.
  4. Roger E. A. Farmer & Daniel F. Waggoner & Tao Zha, 2010. "Generalizing the Taylor Principle: Comment," American Economic Review, American Economic Association, vol. 100(1), pages 608-17, March.
  5. Zheng Liu & Daniel F. Waggoner & Tao Zha, 2008. "Asymmetric expectation effects of regime shifts in monetary policy," Working Paper Series 2008-22, Federal Reserve Bank of San Francisco.
  6. 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.
  7. 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.
  8. 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.
  9. Troy Davig & Eric M. Leeper, 2005. "Fluctuating Macro Policies and the Fiscal Theory," NBER Working Papers 11212, National Bureau of Economic Research, Inc.
  10. Christopher A. Sims & Tao Zha, 2006. "Were There Regime Switches in U.S. Monetary Policy?," American Economic Review, American Economic Association, vol. 96(1), pages 54-81, March.
  11. Timothy Cogley & Thomas Sargent, . "Drifts and Volatilities: Monetary Policies and Outcomes in the Post WWII US," Working Papers 2133503, Department of Economics, W. P. Carey School of Business, Arizona State University.
  12. Farmer, Roger E A & Waggoner, Daniel F & Zha, Tao, 2006. "Indeterminacy in a Forward Looking Regime Switching Model," CEPR Discussion Papers 5919, C.E.P.R. Discussion Papers.
  13. 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.
  14. 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.
  15. 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.
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