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WOODFORD'S APPROACH TO ROBUST POLICY ANALYSIS IN A LINEAR-QUADRATIC FRAMEWORK

Published online by Cambridge University Press:  30 May 2018

Hyosung Kwon
Affiliation:
The Bank of Korea
Jianjun Miao*
Affiliation:
Boston University Zhejiang University Southwestern University of Finance and Economics
*
Address correspondence to: Jianjun Miao, Department of Economics, Boston University, 270 Bay State Road, Boston, MA 02215, USA; e-mail: miaoj@bu.edu

Abstract

This paper extends Woodford's approach to the robustly optimal monetary policy to a general linear quadratic framework. We provide algorithms to solve for a time-invariant linear robustly optimal policy in a timeless perspective and for a time-invariant linear Markov perfect equilibrium under discretion. We apply our methods to a New Keynesian model of monetary policy with persistent cost-push shocks and inflation persistence. We find that the robustly optimal commitment inflation is less responsive to a cost-push shock when the shock is more persistent and that the robustly optimal discretionary policy is more responsive to lagged inflation when inflation is more persistent.

Type
Articles
Copyright
Copyright © Cambridge University Press 2018 

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Footnotes

We would like to thank Mike Woodford and Simon Gilchrist for helpful comments. We have benefitted from comments by the seminar participants at Boston University. First version: February 2012.

References

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