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Hopf Bifurcation from new-Keynesian Taylor rule to Ramsey Optimal Policy

Chatelain, Jean-Bernard and Ralf, Kirsten (2020): Hopf Bifurcation from new-Keynesian Taylor rule to Ramsey Optimal Policy. Published in: Macroeconomic Dyanmics (18 January 2020): pp. 1-33.

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Abstract

This paper compares different implementations of monetary policy in a new-Keynesian setting. We can show that a shift from Ramsey optimal policy under short-term commitment (based on a negative feedback mechanism) to a Taylor rule (based on a positive feedback mechanism) corresponds to a Hopf bifurcation with opposite policy advice and a change of the dynamic properties. This bifurcation occurs because of the ad hoc assumption that interest rate is a forward-looking variable when policy targets (inflation and output gap) are forward-looking variables in the new-Keynesian theory.

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