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Minimal state variable solutions to Markov-switching rational expectations models

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

Abstract

We develop a new method for computing minimal state variable solutions (MSV) to Markov-switching rational expectations models. We provide an algorithm to compute an MSV solution and show how to test a given solution for uniqueness and boundedness. We construct an example that is calibrated to U.S. data and show that the MSV solution in our example is unique. This solution can potentially explain in three different ways the observed reduction in the variance of inflation and the interest rate after 1980: The policy rule might have changed, the variance of the fundamental shocks might have fallen, or the private sector equations might have been different across regimes. We compare these three explanations for the change in variance and show that any one of them can potentially account for the facts. Our paper provides the necessary tools for a future empirical study of this issue.

Suggested Citation

  • Roger E. A. Farmer & Daniel F. Waggoner & Tao Zha, 2008. "Minimal state variable solutions to Markov-switching rational expectations models," FRB Atlanta Working Paper 2008-23, Federal Reserve Bank of Atlanta.
  • Handle: RePEc:fip:fedawp:2008-23
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    References listed on IDEAS

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    Keywords

    Econometric models;

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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