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Robust estimation and monetary policy with unobserved structural change

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Author Info
John C. Williams

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Abstract

This paper considers the joint problem of model estimation and implementation of monetary policy in the face of uncertainty regarding the process of structural change in the economy. I model unobserved structural change through time variation in the natural rates of interest and unemployment. I show that certainty equivalent optimal policies perform poorly when there is model uncertainty about the natural rate processes. I then examine the properties of combined estimation methods and policy rules that are robust to this type of model uncertainty. I find that weighted averages of sample means perform well as estimators of natural rates. The optimal policy under uncertainty responds more aggressively to inflation and less so to the perceived unemployment gap than the certainty equivalent policy. This robust estimation/policy combination is highly effective at mitigating the effects of natural rate mismeasurement.

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Article provided by Federal Reserve Bank of San Francisco in its journal Economic Review.

Volume (Year): (2006)
Issue (Month): ()
Pages: 1-16
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Handle: RePEc:fip:fedfer:y:2006:p:1-16

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Keywords: Monetary policy ; Econometric models ; Unemployment ; Inflation (Finance);

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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  5. Levin, Andrew T. & Williams, John C., 2003. "Robust monetary policy with competing reference models," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 945-975, July. [Downloadable!] (restricted)
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  6. Mccallum, Bennet T., 1988. "Robustness properties of a rule for monetary policy," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 29(1), pages 173-203, January. [Downloadable!] (restricted)
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  8. Francis X. Diebold & Glenn D. Rudebusch, 1989. "Forecasting output with the composite leading index: an ex ante analysis," Finance and Economics Discussion Series 90, Board of Governors of the Federal Reserve System (U.S.).
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  10. Taylor, John B., 1999. "The robustness and efficiency of monetary policy rules as guidelines for interest rate setting by the European central bank," Journal of Monetary Economics, Elsevier, vol. 43(3), pages 655-679, June. [Downloadable!] (restricted)
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  11. Thomas Sargent & Noah Williams & Tao Zha, 2006. "The Conquest of South American Inflation," NBER Working Papers 12606, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  12. John C. Williams, 2003. "Simple rules for monetary policy," Economic Review, Federal Reserve Bank of San Francisco, pages 1-12. [Downloadable!]
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  13. Athanasios Orphanides & John C. Williams, 2003. "Imperfect Knowledge, Inflation Expectations, and Monetary Policy," NBER Working Papers 9884, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  14. A. Orphanides & J. Williams, 2003. "The decline of activist stabilization policy: natural rate misperceptions, learning, and expectations," Proceedings, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
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  15. Rochelle M. Edge & Thomas Laubach & John C. Williams, 2004. "Learning and shifts in long-run productivity growth," Working Papers in Applied Economic Theory 2004-04, Federal Reserve Bank of San Francisco. [Downloadable!]
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  16. Andrew Levin & Volker Wieland & John C. Williams, 2003. "The Performance of Forecast-Based Monetary Policy Rules under Model Uncertainty," CFS Working Paper Series 2003/06, Center for Financial Studies. [Downloadable!]
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  17. Andrew Levin & Volker Wieland & John C. Williams, 1998. "Robustness of Simple Monetary Policy Rules under Model Uncertainty," NBER Working Papers 6570, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  18. Robert J. Hodrick & Edward Prescott, 1981. "Post-War U.S. Business Cycles: An Empirical Investigation," Discussion Papers 451, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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  21. 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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  26. Frank Smets, 2002. "Output gap uncertainty: Does it matter for the Taylor rule?," Empirical Economics, Springer, vol. 27(1), pages 113-129. [Downloadable!] (restricted)
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  28. Athanasios Orphanides & John C. Williams, 2002. "Robust monetary policy rules with unknown natural rates," Working Papers in Applied Economic Theory 2003-01, Federal Reserve Bank of San Francisco. [Downloadable!]
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  29. Kevin J. Lansing, 2000. "Learning about a shift in trend output: implications for monetary policy and inflation," Proceedings, Federal Reserve Bank of San Francisco. [Downloadable!]
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  33. Svensson, Lars E. O. & Woodford, Michael, 2003. "Indicator variables for optimal policy," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 691-720, April. [Downloadable!] (restricted)
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  34. Lawrence J. Christiano & Terry J. Fitzgerald, 1999. "The Band pass filter," Working Paper 9906, Federal Reserve Bank of Cleveland. [Downloadable!]
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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Orphanides, Athanasios & Williams, John C, 2006. "Inflation Targeting under Imperfect Knowledge," CEPR Discussion Papers 5664, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  2. Athanasios Orphanides & John C. Williams, 2005. "Monetary policy with imperfect knowledge," Working Papers in Applied Economic Theory 2005-17, Federal Reserve Bank of San Francisco. [Downloadable!]
    Other versions:
  3. Athanasios Orphanides & John C. Williams, 2007. "Robust monetary policy with imperfect knowledge," Working Paper Series 2007-08, Federal Reserve Bank of San Francisco. [Downloadable!]
    Other versions:
  4. Richard A. Ashley & Randall J. Verbrugge., 2006. "Mis-Specification in Phillips Curve Regressions: Quantifying Frequency Dependence in This Relationship While Allowing for Feedback," Working Papers e06-11, Virginia Polytechnic Institute and State University, Department of Economics. [Downloadable!]
  5. Richard A. Ashley. & Randall J. Verbrugge., 2006. "Mis-Specification and Frequency Dependence in a New Keynesian Phillips Curve," Working Papers e06-12, Virginia Polytechnic Institute and State University, Department of Economics. [Downloadable!]
  6. Livio Stracca, 2006. "A speed limit monetary policy rule for the euro area," Working Paper Series 600, European Central Bank. [Downloadable!]
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