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Minimal State Variable Solutions to Markov-switching Rational Expectations Models

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

We develop a new method for deriving minimal state variable (MSV) equilibria of a general class of Markov-switching rational expectations models and a new algorithm for computing these equilibria. We compare our approach to previously known algorithms, and we demonstrate that ours is both efficient and more reliable than previous methods in the sense that it is able to find MSV equilibria that previously known algorithms cannot. Further, our algorithm can find all possible MSV equilibria in models where there are multiple MSV equilibria. This feature is essential if one is interested in using a likelihood based approach to estimation.

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File URL: http://economics.emory.edu/home/assets/workingpapers/zha_10_03_paper.pdf
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Paper provided by Department of Economics, Emory University (Atlanta) in its series Emory Economics with number 1003.

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Date of creation: Apr 2010
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Handle: RePEc:emo:wp2003:1003
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  1. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules And Macroeconomic Stability: Evidence And Some Theory," The Quarterly Journal of Economics, MIT Press, vol. 115(1), pages 147-180, February.
  2. Giorgio E. Primiceri, 2005. "Time Varying Structural Vector Autoregressions and Monetary Policy," Review of Economic Studies, Oxford University Press, vol. 72(3), pages 821-852.
  3. Martin Fukac & Adrian Pagan, 2006. "Issues In Adopting Dsge Models For Use In The Policy Process," CAMA Working Papers 2006-10, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
  4. Troy Davig & Eric M. Leeper, 2005. "Generalizing the Taylor principle," Research Working Paper RWP 05-13, Federal Reserve Bank of Kansas City.
  5. 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.
  6. Lawrence Christiano & Martin Eichenbaum & Sergio Rebelo, 2011. "When Is the Government Spending Multiplier Large?," Journal of Political Economy, University of Chicago Press, vol. 119(1), pages 78 - 121.
  7. Roger E.A. Farmer & Daniel F. Waggoner & Tao Zha, 2007. "Indeterminacy in a forward-looking regime-switching model," Working Paper 2006-19, Federal Reserve Bank of Atlanta.
  8. Timothy Cogley & Thomas J. Sargent, 2005. "Drift and Volatilities: Monetary Policies and Outcomes in the Post WWII U.S," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(2), pages 262-302, April.
  9. Thomas A. Lubik & Frank Schorfheide, 2004. "Testing for Indeterminacy: An Application to U.S. Monetary Policy," American Economic Review, American Economic Association, vol. 94(1), pages 190-217, March.
  10. Christopher Sims & Tao Zha, 2002. "Macroeconomic switching," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  11. Lars Svensson & Noah Williams, 2005. "Monetary Policy with Model Uncertainty: Distribution Forecast Targeting," NBER Working Papers 11733, National Bureau of Economic Research, Inc.
  12. Troy Davig & Eric M. Leeper & Hess Chung, 2005. "Monetary and fiscal policy switching," Research Working Paper RWP 05-12, Federal Reserve Bank of Kansas City.
  13. Beyer, Andreas & Farmer, Roger E. A., 2003. "Identifying the monetary transmission mechanism using structural breaks," Working Paper Series 0275, European Central Bank.
  14. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
  15. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
  16. Ben Bernanke & Mark Gertler & Simon Gilchrist, 1998. "The Financial Accelerator in a Quantitative Business Cycle Framework," NBER Working Papers 6455, National Bureau of Economic Research, Inc.
  17. McCallum, Bennett T., 1983. "On non-uniqueness in rational expectations models : An attempt at perspective," Journal of Monetary Economics, Elsevier, vol. 11(2), pages 139-168.
  18. Roberto Motto & Massimo Rostagno & Lawrence J. Christiano, 2010. "Financial Factors in Economic Fluctuations," 2010 Meeting Papers 141, Society for Economic Dynamics.
  19. Cooley, Thomas F & LeRoy, Stephen F & Raymon, Neil, 1984. "Econometric Policy Evaluation: Note," American Economic Review, American Economic Association, vol. 74(3), pages 467-70, June.
  20. 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.
  21. Harald Uhlig, 1997. "Bayesian Vector Autoregressions with Stochastic Volatility," Econometrica, Econometric Society, vol. 65(1), pages 59-74, January.
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