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Implementing Optimal Monetary Policy in New-Keynesian Models with Inertia

Author

Listed:
  • George W. Evans

    () (University of Oregon Economics Department)

  • Bruce McGough

    (Oregon State University)

Abstract

We consider optimal monetary policy in New Keynesian models with inertia. First order conditions, which we call the MJB-alternative, are found to improve upon the timeless perspective. The MJB-alternative is shown to be the best possible in the sense that it minimizes policymakers' unconditional expected loss, and further, it is numerically found to offer significant improvement over the timeless perspective. Implementation of the MJB-alternative is considered via construction of interest-rate rules that are consistent with its associated unique equilibrium. Following Evans and Honkapohja (2004), an expectations based rule is derived that always yields a determinate model and an E-stable equilibrium. Further, the "policy manifold" of all interest-rate rules consistent with the MJB-alternative is classified, and open regions of this manifold are shown to correspond to indeterminate models and unstable equilibria.

Suggested Citation

  • George W. Evans & Bruce McGough, 2006. "Implementing Optimal Monetary Policy in New-Keynesian Models with Inertia," University of Oregon Economics Department Working Papers 2006-5, University of Oregon Economics Department.
  • Handle: RePEc:ore:uoecwp:2006-5
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    References listed on IDEAS

    as
    1. George W. Evans & Seppo Honkapohja, 2006. "Monetary Policy, Expectations and Commitment," Scandinavian Journal of Economics, Wiley Blackwell, vol. 108(1), pages 15-38, March.
    2. Andrew Levin & Volker Wieland & John C. Williams, 2003. "The Performance of Forecast-Based Monetary Policy Rules Under Model Uncertainty," American Economic Review, American Economic Association, vol. 93(3), pages 622-645, June.
    3. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," The Quarterly Journal of Economics, Oxford University Press, vol. 115(1), pages 147-180.
    4. Benhabib, Jess & Eusepi, Stefano, 2005. "The design of monetary and fiscal policy: A global perspective," Journal of Economic Theory, Elsevier, vol. 123(1), pages 40-73, July.
    5. Damjanovic, Tatiana & Damjanovic, Vladislav & Nolan, Charles, 2008. "Unconditionally optimal monetary policy," Journal of Monetary Economics, Elsevier, vol. 55(3), pages 491-500, April.
    6. Bennett T. McCallum & Edward Nelson, 2004. "Timeless perspective vs. discretionary monetary policy in forward-looking models," Review, Federal Reserve Bank of St. Louis, issue Mar, pages 43-56.
    7. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
    8. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    9. Bennett T. McCallum & Edward Nelson, 1999. "Performance of Operational Policy Rules in an Estimated Semiclassical Structural Model," NBER Chapters,in: Monetary Policy Rules, pages 15-56 National Bureau of Economic Research, Inc.
    10. GEORGE W. EVANS & BRUCE McGOUGH, 2007. "Optimal Constrained Interest-Rate Rules," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(6), pages 1335-1356, September.
    11. Jensen, Christian & McCallum, Bennett T., 2002. "The non-optimality of proposed monetary policy rules under timeless perspective commitment," Economics Letters, Elsevier, vol. 77(2), pages 163-168, October.
    12. Galí, Jordi & Gertler, Mark, 1999. "Inflation Dynamics: A Structural Economic Analysis," CEPR Discussion Papers 2246, C.E.P.R. Discussion Papers.
    13. McCallum, Bennett-T, 2005. "What Is the Proper Perspective for Monetary Policy Optimality?," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 23(S1), pages 13-24, October.
    14. Lars E O Svensson, 2005. "Monetary Policy with Judgment: Forecast Targeting," International Journal of Central Banking, International Journal of Central Banking, vol. 1(1), May.
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    19. Svensson, Lars E. O., 2005. "Monetary policy with judgment: forecast targeting," Working Paper Series 476, European Central Bank.
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    Cited by:

    1. Bask, Mikael & Proaño, Christian R., 2016. "Optimal monetary policy under learning and structural uncertainty in a New Keynesian model with a cost channel and inflation inertia," Journal of Economic Dynamics and Control, Elsevier, vol. 69(C), pages 112-126.
    2. McGough, Bruce & Meng, Qinglai & Xue, Jianpo, 2013. "Expectational stability of sunspot equilibria in non-convex economies," Journal of Economic Dynamics and Control, Elsevier, vol. 37(6), pages 1126-1141.
    3. George Waters, 2011. "Dangers of commitment under rational expectations," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 35(4), pages 371-381, October.

    More about this item

    Keywords

    Monetary Policy; Taylor Rules; Indeterminacy; E-stability;

    JEL classification:

    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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