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A Unified Approach to Determinacy Conditions with Regime Switching

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  • Jean Barthélemy
  • Seonghoon Cho
  • Magali Marx

Abstract

The conditions that ensure the existence of a unique stable equilibrium - determinacy conditions - for rational expectations models with Markov switching depend on the stability concept, contrasting with standard linear rational expectations models. In this paper, we offer a unified framework for the two commonly used stability concepts: boundedness and mean-square stability. We derive determinacy conditions for both concepts based on simple metrics. Qualitatively, we show that mean-square stable solutions are always at least as many as bounded solutions. We then apply and discuss our results in two monetary models.

Suggested Citation

  • Jean Barthélemy & Seonghoon Cho & Magali Marx, 2024. "A Unified Approach to Determinacy Conditions with Regime Switching," Working papers 972, Banque de France.
    • Handle: RePEc:bfr:banfra:972
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    References listed on IDEAS

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    More about this item

    Keywords

    Markov-Switching; Indeterminacy; Monetary Policy;
    All these keywords.

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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