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Robust Learning Stability with Operational Monetary Policy Rules

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Author Info
George W. Evans
Seppo Honkapohja

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Abstract

We consider “robust stability” of a rational expectations equilibrium, which we define as stability under discounted (constant gain) least-squares learning, for a range of gain parameters. We find that for operational forms of policy rules, i.e. rules that do not depend on contemporaneous values of endogenous aggregate variables, many interest-rate rules do not exhibit robust stability. We consider a variety of interest-rate rules, including instrument rules, optimal reaction functions under discretion or commitment, and rules that approximate optimal policy under commitment. For some reaction functions we allow for an interest-rate stabilization motive in the policy objective. The expectations-based rules proposed in Evans and Honkapohja (2003, 2006) deliver robust learning stability. In contrast, many proposed alternatives become unstable under learning even at small values of the gain parameter.

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Paper provided by Centre for Dynamic Macroeconomic Analysis in its series CDMA Conference Paper Series with number 0808.

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Handle: RePEc:san:cdmacp:0808

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Related research
Keywords: Commitment; interest-rate setting; adaptive learning; stability; determinacy.;

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Find related papers by JEL classification:
E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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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. Evans, G.W. & Honkapohja ,S. & Williams, N., 2005. "Generalized Stochastic Gradient Learning," Cambridge Working Papers in Economics 0545, Faculty of Economics, University of Cambridge. [Downloadable!]
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  2. Woodford, Michael, 1999. "Optimal Monetary Policy Inertia," Manchester School, University of Manchester, vol. 67(0), pages 1-35, Supplemen. [Downloadable!] (restricted)
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  3. Richard Clarida & Jordi Gali & Mark Gertler, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December. [Downloadable!] (restricted)
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  4. James Bullard & Kaushik Mitra, 2002. "Learning about monetary policy rules," Working Papers 2000-001, Federal Reserve Bank of St. Louis. [Downloadable!]
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  5. Evans, George W & Honkapohja, Seppo, 2002. "Monetary Policy, Expectations and Commitment," CEPR Discussion Papers 3434, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  6. Branch, William A. & Evans, George W., 2006. "A simple recursive forecasting model," Economics Letters, Elsevier, vol. 91(2), pages 158-166, May. [Downloadable!] (restricted)
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  7. Evans, George W & Honkapohja, Seppo, 1998. "Economic Dynamics with Learning: New Stability Results," Review of Economic Studies, Blackwell Publishing, vol. 65(1), pages 23-44, January. [Downloadable!] (restricted)
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  8. Fabio Milani, 2005. "Adaptive Learning and Inflation Persistence," Macroeconomics 0506013, EconWPA. [Downloadable!]
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  9. James B. Bullard, 2006. "The learnability criterion and monetary policy," Review, Federal Reserve Bank of St. Louis, issue May, pages 203-217. [Downloadable!]
  10. George W. Evans & Seppo Honkapohja, 2003. "Adaptive learning and monetary policy design," Proceedings, Federal Reserve Bank of Cleveland, pages 1045-1084.
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  11. George W. Evans & Seppo Honkapohja, 2003. "Expectations and the Stability Problem for Optimal Monetary Policies," Review of Economic Studies, Blackwell Publishing, vol. 70(4), pages 807-824, October. [Downloadable!] (restricted)
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  12. 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. [Downloadable!]
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  13. Fabio Milani, 2007. "Learning and Time-Varying Macroeconomic Volatility," Working Papers 070802, University of California-Irvine, Department of Economics. [Downloadable!]
  14. Evans , George W & Honkapohja, Seppo, 2007. "Expectations, learning and monetary policy: an overview of recent research," Research Discussion Papers 32/2007, Bank of Finland. [Downloadable!]
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  15. Milani, Fabio, 2007. "Expectations, learning and macroeconomic persistence," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 2065-2082, October. [Downloadable!] (restricted)
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  16. Evans George W. & Guesnerie Roger, 1993. "Rationalizability, Strong Rationality, and Expectational Stability," Games and Economic Behavior, Elsevier, vol. 5(4), pages 632-646, October. [Downloadable!] (restricted)
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  17. McCallum, Bennett T., 1999. "Issues in the design of monetary policy rules," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 23, pages 1483-1530 Elsevier. [Downloadable!] (restricted)
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  18. John Duffy & Wei Xiao, 2007. "The Value of Interest Rate Stabilization Policies When Agents Are Learning," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(8), pages 2041-2056, December. [Downloadable!] (restricted)
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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. Evans , George W & Honkapohja, Seppo, 2007. "Expectations, learning and monetary policy: an overview of recent research," Research Discussion Papers 32/2007, Bank of Finland. [Downloadable!]
    Other versions:
  2. Ippei Fujiwara & Kazuo Fukuda & Ichiro Muto & Yosuke Shigemi & Wataru Takahashi, 2008. "Frontiers in Monetary Theory and Policy: Summary of the 2008 International Conference Organized by the Institute for Monetary and Economic Studies of the Bank of Japan," IMES Discussion Paper Series 08-E-18, Institute for Monetary and Economic Studies, Bank of Japan. [Downloadable!]
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