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Methods for robust control

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Author Info
Richard Dennis
Kai Leitemo
Ulf Söderström

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Abstract

Robust control allows policymakers to formulate policies that guard against model misspecification. The principal tools used to solve robust control problems are state-space methods (see Hansen and Sargent 2006 and Giordani and Soderlind 2004). In this paper we show that the structural-form methods developed by Dennis (2006) to solve control problems with rational expectations can also be applied to robust control problems, with the advantage that they bypass the task, often onerous, of having to express the reference model in statespace form. Interestingly, because state-space forms and structural forms are not unique the two approaches do not necessarily return the same equilibria for robust control problems. We apply both state-space and structural solution methods to an empirical New Keynesian business cycle model and find that the differences between the methods are both qualitatively and quantitatively important. In particular, with the structural-form solution methods the specification errors generally involve changes to the conditional variances in addition to the conditional means of the shock processes.

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Paper provided by Federal Reserve Bank of San Francisco in its series Working Paper Series with number 2006-10.

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Date of creation: 2006
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Handle: RePEc:fip:fedfwp:2006-10

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Keywords: Robust control Monetary policy Econometric models

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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.:
  1. Leitemo , Kai & Söderström , Ulf, 2005. "Robust monetary policy in a small open economy," Research Discussion Papers 20/2005, Bank of Finland. [Downloadable!]
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  2. Binder,M. & Pesaran,H.M., 1995. "Multivariate Rational Expectations Models and Macroeconomic Modelling: A Review and Some New Results," Cambridge Working Papers in Economics 9415, Faculty of Economics, University of Cambridge.
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  3. Hansen, Lars Peter & Sargent, Thomas J & Tallarini, Thomas D, Jr, 1999. "Robust Permanent Income and Pricing," Review of Economic Studies, Blackwell Publishing, vol. 66(4), pages 873-907, October. [Downloadable!] (restricted)
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  4. Giordani, Paolo & Soderlind, Paul, 2004. "Solution of macromodels with Hansen-Sargent robust policies: some extensions," Journal of Economic Dynamics and Control, Elsevier, vol. 28(12), pages 2367-2397, December. [Downloadable!] (restricted)
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  5. Hansen, Lars Peter & Sargent, Thomas J., 2003. "Robust control of forward-looking models," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 581-604, April. [Downloadable!] (restricted)
  6. Levine, Paul & Currie, David, 1985. "Optimal feedback rules in an open economy macromodel with rational expectations," European Economic Review, Elsevier, vol. 27(2), pages 141-163, March. [Downloadable!] (restricted)
  7. Richard Dennis, 2005. "Robust control with commitment: a modification to Hansen-Sargent," Working Papers in Applied Economic Theory 2005-20, Federal Reserve Bank of San Francisco. [Downloadable!]
  8. Dennis, Richard & Soderstrom, Ulf, 2006. "How Important Is Precommitment for Monetary Policy?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(4), pages 847-872, June. [Downloadable!] (restricted)
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  9. Rudebusch, Glenn D., 2002. "Term structure evidence on interest rate smoothing and monetary policy inertia," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1161-1187, September. [Downloadable!] (restricted)
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  10. Leitemo, Kai & Söderström, Ulf, 2004. "Robust Monetary Policy in the New-Keynesian Framework," CEPR Discussion Papers 4805, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  11. Backus, David & Driffill, John, 1986. "The Consistency of Optimal Policy in Stochastic Rational Expectations Models," CEPR Discussion Papers 124, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  12. repec:cup:macdyn:v:6:y:2002:i:1:p:40-84 is not listed on IDEAS
  13. Fuhrer, Jeffrey C. & Rudebusch, Glenn D., 2004. "Estimating the Euler equation for output," Journal of Monetary Economics, Elsevier, vol. 51(6), pages 1133-1153, September. [Downloadable!] (restricted)
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  14. Glenn D. Rudebusch, 2002. "Assessing Nominal Income Rules for Monetary Policy with Model and Data Uncertainty," Economic Journal, Royal Economic Society, vol. 112(479), pages 402-432, April. [Downloadable!] (restricted)
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  15. Evan W. Anderson & Lars Peter Hansen & Thomas J. Sargent, 2003. "A Quartet of Semigroups for Model Specification, Robustness, Prices of Risk, and Model Detection," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 68-123, 03. [Downloadable!] (restricted)
  16. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July. [Downloadable!] (restricted)
  17. Lars Peter Hansen & Thomas J. Sargent, 2001. "Robust Control and Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 60-66, May. [Downloadable!] (restricted)
  18. Richard Dennis, 2001. "Optimal policy in rational-expectations models: new solution algorithms," Working Papers in Applied Economic Theory 2001-09, Federal Reserve Bank of San Francisco. [Downloadable!]
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  19. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September. [Downloadable!] (restricted)
  20. Engle, Robert F & Hendry, David F & Richard, Jean-Francois, 1983. "Exogeneity," Econometrica, Econometric Society, vol. 51(2), pages 277-304, March. [Downloadable!] (restricted)
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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. Dennis, Richard & Leitemo, Kai & Söderström, Ulf, 2007. "Monetary Policy in a Small Open Economy with a Preference for Robustness," CEPR Discussion Papers 6067, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  2. Richard Dennis, 2007. "Model uncertainty and monetary policy," Working Paper Series 2007-09, Federal Reserve Bank of San Francisco. [Downloadable!]
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