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Optimal monetary policy under uncertainty: a Markov jump-linear-quadratic approach

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Author Info
Lars E.O. Svensson
Noah Williams

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Abstract

This paper studies the design of optimal monetary policy under uncertainty using a Markov jump-linear-quadratic (MJLQ) approach. To approximate the uncertainty that policymakers face, the authors use different discrete modes in a Markov chain and take mode-dependent linear-quadratic approximations of the underlying model. This allows the authors to apply a powerful methodology with convenient solution algorithms that they have developed. They apply their methods to analyze the effects of uncertainty and potential gains from experimentation for two sources of uncertainty in the New Keynesian Phillips curve. The examples highlight that learning may have sizable effects on losses and, although it is generally beneficial, it need not always be so. The experimentation component typically has little effect and in some cases it can lead to attenuation of policy.

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Article provided by Federal Reserve Bank of St. Louis in its journal Review.

Volume (Year): (2008)
Issue (Month): Jul ()
Pages: 275-294
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Handle: RePEc:fip:fedlrv:y:2008:i:jul:p:275-294:n:v.90no.4

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Keywords: Monetary policy ; Econometric models;

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References listed on IDEAS
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  1. Timothy Cogley & Riccardo Colacito & Thomas J. Sargent, 2007. "Benefits from U.S. Monetary Policy Experimentation in the Days of Samuelson and Solow and Lucas," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(s1), pages 67-99, 02. [Downloadable!] (restricted)
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  2. Tesfaselassie, Mewael F. & Schaling, Eric & Eijffinger, Sylvester, 2006. "Learning about the term structure and optimal rules for inflation targeting," Discussion Paper 88, Tilburg University, Center for Economic Research. [Downloadable!]
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  3. William Poole, 2006. "Inflation targeting," Speech, Federal Reserve Bank of St. Louis. [Downloadable!]
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    • William Poole, 2006. "Inflation targeting," Review, Federal Reserve Bank of St. Louis, issue May, pages 155-164. [Downloadable!]
  4. Wieland, Volker, 2000. "Learning by doing and the value of optimal experimentation," Journal of Economic Dynamics and Control, Elsevier, vol. 24(4), pages 501-534, April. [Downloadable!] (restricted)
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  5. Glenn D. Rudebusch & Lars E. O. Svensson, 1998. "Policy rules for inflation targeting," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
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  6. Volker Wieland, . "Monetary Policy and Uncertainty about the Natural Unemployment Rate," Computing in Economics and Finance 1997 11, Society for Computational Economics. [Downloadable!]
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  7. Fabrizio Zampolli & Andrew Blake, 2005. "Time Consistent Policy in Markov Switching Models," Money Macro and Finance (MMF) Research Group Conference 2005 2, Money Macro and Finance Research Group. [Downloadable!]
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  8. Kiefer, Nicholas M., 1989. "A value function arising in the economics of information," Journal of Economic Dynamics and Control, Elsevier, vol. 13(2), pages 201-223, April. [Downloadable!] (restricted)
  9. Marcet, A. & Marimon, R., 1998. "Recursive Contracts," Economics Working Papers eco98/37, European University Institute.
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  10. Lars E.O. Svensson & Noah M. Williams, 2007. "Bayesian and Adaptive Optimal Policy under Model Uncertainty," NBER Working Papers 13414, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  11. Beck, Gunter W. & Wieland, Volker, 2002. "Learning and control in a changing economic environment," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1359-1377, August. [Downloadable!] (restricted)
  12. Linde, Jesper, 2005. "Estimating New-Keynesian Phillips curves: A full information maximum likelihood approach," Journal of Monetary Economics, Elsevier, vol. 52(6), pages 1135-1149, September. [Downloadable!] (restricted)
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  13. Ellison, Martin & Valla, Natacha, 2001. "Learning, uncertainty and central bank activism in an economy with strategic interactions," Journal of Monetary Economics, Elsevier, vol. 48(1), pages 153-171, August. [Downloadable!] (restricted)
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  14. do Val, Joao B. R. & Basar, Tamer, 1999. "Receding horizon control of jump linear systems and a macroeconomic policy problem1," Journal of Economic Dynamics and Control, Elsevier, vol. 23(8), pages 1099-1131, August. [Downloadable!] (restricted)
  15. Ellison, Martin, 2006. "The learning cost of interest rate reversals," Journal of Monetary Economics, Elsevier, vol. 53(8), pages 1895-1907, November. [Downloadable!] (restricted)
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