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Robust expectations and uncertain models – A robust control approach with application to the New Keynesian economy

  • Kilponen, Juha

    ()

    (Bank of Finland Research)

This paper extends Svensson and Woodford’s (2003) partial information framework by allowing the private agents to achieve robustness against incomplete information about the structure of the economy by distorting their expectations in a particular direction. It shows how a linear rational expectations equilibrium under concern for robustness can be solved by exploiting the recursive structure of the problem and appropriately modifying the Bellman equations in their framework. The standard Kalman filter is then used for information updating under imperfect measurement of the state variables. The standard New Keynesian model is used for illustrating how concern for modelling errors interacts with imperfect information. Agents achieve robustness by simultaneously over-estimating the persistence of exogenous shocks, but under-estimating the policy response to the output gap. This under-estimation, combined with imperfect measurement, leads to larger and more persistent responses of private consumption to government expenditure shocks under robust expectations.

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File URL: http://www.suomenpankki.fi/en/julkaisut/tutkimukset/keskustelualoitteet/Documents/0405.pdf
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Paper provided by Bank of Finland in its series Research Discussion Papers with number 5/2004.

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Length: 46 pages
Date of creation: 01 Jan 2004
Date of revision:
Handle: RePEc:hhs:bofrdp:2004_005
Contact details of provider: Postal: Bank of Finland, P.O. Box 160, FI-00101 Helsinki, Finland
Web page: http://www.suomenpankki.fi/en/

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  1. Michael Woodford, 1999. "Optimal monetary policy inertia," Proceedings, Federal Reserve Bank of San Francisco.
  2. Lars E.O. Svensson & Michael Woodford, 2000. "Indicator variables for optimal policy," Proceedings, Federal Reserve Bank of San Francisco.
  3. Onatski, Alexei & Stock, James H., 2002. "Robust Monetary Policy Under Model Uncertainty In A Small Model Of The U.S. Economy," Macroeconomic Dynamics, Cambridge University Press, vol. 6(01), pages 85-110, February.
  4. Pearlman, Joseph G., 1992. "Reputational and nonreputational policies under partial information," Journal of Economic Dynamics and Control, Elsevier, vol. 16(2), pages 339-357, April.
  5. Giordani, Paolo & Söderlind, Paul, 2002. "Solution of Macromodels with Hansen-Sargent Robust Policies: Some Extensions," SSE/EFI Working Paper Series in Economics and Finance 499, Stockholm School of Economics, revised 15 May 2003.
  6. Athanasios Orphanides, 1998. "Monetary policy rules based on real-time data," Finance and Economics Discussion Series 1998-03, Board of Governors of the Federal Reserve System (U.S.).
  7. 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.
  8. 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.
  9. Kilponen , Juha, 2003. "A positive theory of monetary policy and robust control," Research Discussion Papers 18/2003, Bank of Finland.
  10. repec:cup:macdyn:v:6:y:2002:i:1:p:40-84 is not listed on IDEAS
  11. Thomas J. Sargent & LarsPeter Hansen, 2001. "Robust Control and Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 60-66, May.
  12. Clarida, R. & Gali, J. & Gertler, M., 1998. "Monetary Policy Rules and Macroeconomic Stability: Evidence and some Theory," Working Papers 98-01, C.V. Starr Center for Applied Economics, New York University.
  13. 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.
  14. Lars E.O. Svensson & Michael Woodford, 2001. "Indicator Variables for Optimal Policy under Asymmetric Information," NBER Working Papers 8255, National Bureau of Economic Research, Inc.
  15. Currie, David & Levine, Paul L, 1986. "Credibility and Time Inconsistency in a Stochastic World," CEPR Discussion Papers 94, C.E.P.R. Discussion Papers.
  16. J. Tetlow, Robert & von zur Muehlen, Peter, 2001. "Robust monetary policy with misspecified models: Does model uncertainty always call for attenuated policy?," Journal of Economic Dynamics and Control, Elsevier, vol. 25(6-7), pages 911-949, June.
  17. Söderlind, Paul, 1998. "Solution and Estimation of RE Macromodels with Optimal Policy," SSE/EFI Working Paper Series in Economics and Finance 256, Stockholm School of Economics.
  18. Gerali, Andrea & Lippi, Francesco, 2003. "Optimal Control and Filtering in Linear Forward-looking Economies: A Toolkit," CEPR Discussion Papers 3706, C.E.P.R. Discussion Papers.
  19. Lars Hansen & Thomas Sargent & Thomas Tallarini, . "Robust Permanent Income and Pricing," GSIA Working Papers 1997-51, Carnegie Mellon University, Tepper School of Business.
  20. Giannoni, Marc P., 2002. "Does Model Uncertainty Justify Caution? Robust Optimal Monetary Policy In A Forward-Looking Model," Macroeconomic Dynamics, Cambridge University Press, vol. 6(01), pages 111-144, February.
  21. Lars Peter Hansen & Thomas J. Sargent, 1980. "Linear rational expectations models for dynamically interrelated variables," Working Papers 135, Federal Reserve Bank of Minneapolis.
  22. Miller, Marcus & Salmon, Mark, 1983. "Dynamic Games and the Time Inconsistency of Optimal Policy in Open Economies," The Warwick Economics Research Paper Series (TWERPS) 232, University of Warwick, Department of Economics.
  23. Christopher A. Sims, 2001. "Pitfalls of a Minimax Approach to Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 51-54, May.
  24. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
  25. Kenneth Kasa, 2000. "A robust Hansen-Sargent prediction formula," Working Paper Series 2000-11, Federal Reserve Bank of San Francisco.
  26. Pearlman, Joseph & Currie, David & Levine, Paul, 1986. "Rational expectations models with partial information," Economic Modelling, Elsevier, vol. 3(2), pages 90-105, April.
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