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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
Contact details of provider: Web page: http://economics.emory.edu/home/journals/
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  1. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
  2. Beyer, Andreas & Farmer, Roger E. A., 2003. "Identifying the monetary transmission mechanism using structural breaks," Working Paper Series 0275, European Central Bank.
  3. 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.
  4. 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.
  5. Hess Chung & Troy Davig & Eric Leeper, 2004. "Monetary and Fiscal Policy Switching," Computing in Economics and Finance 2004 325, Society for Computational Economics.
  6. 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.
  7. 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.
  8. Svensson, Lars E. O. & Williams, Noah, 2005. "Monetary policy with model uncertainty: distribution forecast targeting," Discussion Paper Series 1: Economic Studies 2005,35, Deutsche Bundesbank, Research Centre.
  9. Christopher Sims & Tao Zha, 2002. "Macroeconomic switching," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  10. 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.
  11. 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.
  12. 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.
  13. Troy Davig & Eric M. Leeper, 2005. "Generalizing the Taylor Principle," NBER Working Papers 11874, National Bureau of Economic Research, Inc.
  14. Harald Uhlig, 1997. "Bayesian Vector Autoregressions with Stochastic Volatility," Econometrica, Econometric Society, vol. 65(1), pages 59-74, January.
  15. Roberto Motto & Massimo Rostagno & Lawrence J. Christiano, 2010. "Financial Factors in Economic Fluctuations," 2010 Meeting Papers 141, Society for Economic Dynamics.
  16. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
  17. Martin Fukac & Adrian Pagan, 2006. "Issues in Adopting DSGE Models for Use in the Policy Process," Working Papers 2006/6, Czech National Bank, Research Department.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
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