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Optimal Policy with Partial Information in a Forward-Looking Model: Certainty-Equivalence Redux

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  • Lars E. O. Svensson
  • Michael Woodford

Abstract

This paper proves a certainty equivalence result for optimal policy under commitment with symmetric partial information about the state of the economy in a model with forward-looking variables. This result is used in our previous paper, Indicator Variables for Optimal Policy,' which synthesizes what is known about the case of symmetric partial information, and derives useful general formulas for computation of the optimal policy response coefficients and efficient estimates of the state of the economy in the context of a fairly general forward-looking rational-expectations model. In particular, our proof takes into account that, under commitment, the policymaker can affect the future evolution of the observable variables, and thereby potentially affect the future information available.

Suggested Citation

  • Lars E. O. Svensson & Michael Woodford, 2003. "Optimal Policy with Partial Information in a Forward-Looking Model: Certainty-Equivalence Redux," NBER Working Papers 9430, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:9430
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    References listed on IDEAS

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    1. Currie,David & Levine,Paul, 2009. "Rules, Reputation and Macroeconomic Policy Coordination," Cambridge Books, Cambridge University Press, number 9780521104609, September.
    2. 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.
    3. Michael Woodford, 1999. "Optimal Monetary Policy Inertia," Manchester School, University of Manchester, vol. 67(s1), pages 1-35.
    4. John H. Kalchbrenner & Peter A. Tinsley, 1976. "On the use of optimal control in the design of monetary policy," Special Studies Papers 76, Board of Governors of the Federal Reserve System (U.S.).
    5. Pearlman, Joseph & Currie, David & Levine, Paul, 1986. "Rational expectations models with partial information," Economic Modelling, Elsevier, vol. 3(2), pages 90-105, April.
    6. 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.
    7. repec:bla:manchs:v:67:y:1999:i:0:p:1-35 is not listed on IDEAS
    8. Pearlman, Joseph, 1986. "Diverse information and rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 10(1-2), pages 333-338, June.
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    Citations

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    Cited by:

    1. Ellison, Martin, 2006. "The learning cost of interest rate reversals," Journal of Monetary Economics, Elsevier, vol. 53(8), pages 1895-1907, November.
    2. repec:zbw:bofrdp:2003_009 is not listed on IDEAS
    3. Takatoshi Ito & Frederic S. Mishkin, 2006. "Two Decades of Japanese Monetary Policy and the Deflation Problem," NBER Chapters, in: Monetary Policy with Very Low Inflation in the Pacific Rim, pages 131-1997, National Bureau of Economic Research, Inc.
    4. Woodford, Michael, 2010. "Optimal Monetary Stabilization Policy," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 14, pages 723-828, Elsevier.
    5. Frederic S. Mishkin, 2006. "Monetary Policy Strategy: How Did We Get Here?," NBER Working Papers 12515, National Bureau of Economic Research, Inc.
    6. Stephen G. Cecchetti & Stefan Krause, 2007. "Inflation Targeting versus Price-Path Targeting: Looking for Improvements," Central Banking, Analysis, and Economic Policies Book Series, in: Frederic S. Miskin & Klaus Schmidt-Hebbel & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Se (ed.),Monetary Policy under Inflation Targeting, edition 1, volume 11, chapter 8, pages 265-290, Central Bank of Chile.
    7. Svensson, Lars E. O. & Woodford, Michael, 2003. "Indicator variables for optimal policy," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 691-720, April.
    8. Svensson, Lars E. O. & Woodford, Michael, 2004. "Indicator variables for optimal policy under asymmetric information," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 661-690, January.
    9. Carl E. Walsh, 2013. "Announcements and the Role of Policy Guidance," Review, Federal Reserve Bank of St. Louis, issue Nov, pages 575-600.
    10. repec:hal:wpspec:info:hdl:2441/f4rshpf3v1umfa09lat09b1bg is not listed on IDEAS
    11. repec:hal:spmain:info:hdl:2441/f4rshpf3v1umfa09lat09b1bg is not listed on IDEAS
    12. Escudé, Guillermo J., 2013. "A DSGE model for a SOE with systematic interest and foreign exchange policies in which policymakers exploit the risk premium for stabilization purposes," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 7, pages 1-110.
    13. repec:spo:wpecon:info:hdl:2441/f4rshpf3v1umfa09lat09b1bg is not listed on IDEAS
    14. Lauri Kajanoja, 2004. "Money as an indicator variable for monetary policy when money demand is forward looking," Macroeconomics 0405003, University Library of Munich, Germany.
    15. Liam Graham & Stephen Wright, 2006. "Inspecting the noisy mechanism: the stochastic growth model with partial information," Computing in Economics and Finance 2006 207, Society for Computational Economics.
    16. Charles Evans & Jonas Fisher & Francois Gourio & Spencer Krane, 2015. "Risk Management for Monetary Policy Near the Zero Lower Bound," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 46(1 (Spring), pages 141-219.
    17. Lippi, Francesco & Gerali, Andrea, 2003. "Optimal Control and Filtering in Linear Forward-looking Economies: A Toolkit," CEPR Discussion Papers 3706, C.E.P.R. Discussion Papers.
    18. Svensson, Lars E. O. & Woodford, Michael, 2003. "Indicator variables for optimal policy," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 691-720, April.
    19. Kajanoja, Lauri, 2003. "Money as an indicator variable for monetary policy when money demand is forward looking," Research Discussion Papers 9/2003, Bank of Finland.
    20. repec:spo:wpmain:info:hdl:2441/f4rshpf3v1umfa09lat09b1bg is not listed on IDEAS

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    More about this item

    JEL classification:

    • E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications
    • E47 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Forecasting and Simulation: Models and Applications

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