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E-stability vis-à-vis determinacy in regime-switching models

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  • McClung, Nigel

Abstract

This paper examines E-stability, determinacy, and indeterminacy in a general class of regime-switching models with lagged endogenous variables. Using determinacy conditions from Cho (2016, 2020), our first result extends McCallum (2007) to models with time-varying parameters: the unique mean-square stable equilibrium is E-stable if agents have current information and one-period-ahead decision rules. Further, we address the existence of E-stable non-fundamental equilibria, and find that Iteratively E-stable equilibria of indeterminate switching models can exist. Finally, we show that indeterminate New Keynesian models with persistent, recurring interest rate peg regimes admit Iteratively E-stable equilibria. In special cases, the Iterative E-stability condition coincides with the Long Run Taylor Principle.

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  • McClung, Nigel, 2020. "E-stability vis-à-vis determinacy in regime-switching models," Journal of Economic Dynamics and Control, Elsevier, vol. 121(C).
    • Handle: RePEc:eee:dyncon:v:121:y:2020:i:c:s0165188920301809
    DOI: 10.1016/j.jedc.2020.104012
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    Cited by:

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    More about this item

    Keywords

    Markov-switching; Determinacy; E-stability; Adaptive Learning;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • E42 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Monetary Sytsems; Standards; Regimes; Government and the Monetary System
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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