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Understanding Markov-switching rational expectations models

Author

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

Abstract

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. .

Suggested Citation

  • Roger E. A. Farmer & Daniel F. Waggoner & Tao Zha, 2009. "Understanding Markov-switching rational expectations models," FRB Atlanta Working Paper 2009-05, Federal Reserve Bank of Atlanta.
    • Handle: RePEc:fip:fedawp:2009-05
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    References listed on IDEAS

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    1. 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.
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    Keywords

    Econometric models;

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • E0 - Macroeconomics and Monetary Economics - - General
    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates

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