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The New Keynesian Model with Stochastically Varying Policies

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  • Klaus Neusser

Abstract

The Multiplicative Ergodic Theorem provides a novel general method- ology to analyze rational expectations models with stochastically vary- ing coecients. The approach is applied for the first time to economics and analyzes the canonical New Keynesian model with a Taylor rule which switches randomly between an aggressive and a passive reaction to in ation. The paper delineates the trade-o of the central bank of being passive in some periods and aggressive in others. Moreover, it is shown how this trade-o depends on the stochastic process governing the randomness in the central bank's policy. Finally, explicit solution formulas are derived in the case of determinateness as well as inde- terminateness. In doing so he paper considerably extends the current approach.

Suggested Citation

  • Klaus Neusser, 2018. "The New Keynesian Model with Stochastically Varying Policies," Diskussionsschriften dp1801, Universitaet Bern, Departement Volkswirtschaft.
    • Handle: RePEc:ube:dpvwib:dp1801
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    References listed on IDEAS

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    More about this item

    Keywords

    time{varying rational expectations models; New Keynesian model; Taylor rule; Lyapunov exponents; multiplicative ergodic theorem;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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