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Methods for Robust Control

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Author Info
Richard Dennis
Kai Leitemo
Ulf Soderstrom

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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 equilibriafor 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 theconditional means of the shock processes.

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Paper provided by IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University in its series Working Papers with number 307.

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Date of creation: 2006
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Handle: RePEc:igi:igierp:307

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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. Gilles Oudiz & Jeffrey Sachs, 1985. "International Policy Coordination In Dynamic Macroeconomic Models," NBER Chapters, in: International Economic Policy Coordination, pages 274-330 National Bureau of Economic Research, Inc. [Downloadable!]
  12. 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)
  13. repec:cup:macdyn:v:6:y:2002:i:1:p:40-84 is not listed on IDEAS
  14. 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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  15. 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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  16. 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)
  17. Hansen, Lars Peter & Sargent, Thomas J. & Wang, Neng E., 2002. "Robust Permanent Income And Pricing With Filtering," Macroeconomic Dynamics, Cambridge University Press, vol. 6(01), pages 40-84, February. [Downloadable!]
  18. 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)
  19. 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)
  20. 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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  21. 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)
  22. 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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  23. repec:cup:cbooks:9780521441964 is not listed on IDEAS
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(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!]
    Other versions:
  3. Adam Altar-Samuel, 2008. "Robust Monetary Policy," Advances in Economic and Financial Research - DOFIN Working Paper Series 21, Bucharest University of Economics, Center for Advanced Research in Finance and Banking - CARFIB. [Downloadable!]
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