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Robust Learning Stability with Operational Monetary Policy Rules

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  • George W. Evans

    ()

  • Seppo Honkapohja

    ()

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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Bibliographic Info

Paper provided by Centre for Dynamic Macroeconomic Analysis in its series CDMA Working Paper Series with number 200719.

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Date of creation: 15 Oct 2007
Date of revision: 15 Jan 2008
Handle: RePEc:san:cdmawp:0719

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

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References

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  1. 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.
  2. Evans, George W. & Honkapohja, Seppo, 2002. "Adaptive learning and monetary policy design," Research Discussion Papers 29/2002, Bank of Finland.
  3. George W. Evans & Seppo Honkapohja, 2006. "Monetary Policy, Expectations and Commitment," Scandinavian Journal of Economics, Wiley Blackwell, vol. 108(1), pages 15-38, 03.
  4. Evans, George W & Honkapohja, Seppo, 2008. "Expectations, Learning and Monetary Policy: An Overview of Recent Rersearch," CEPR Discussion Papers 6640, C.E.P.R. Discussion Papers.
  5. Richard Clarida & Jordi Galí & Mark Gertler, 1997. "The science of monetary policy: A new Keynesian perspective," Economics Working Papers 356, Department of Economics and Business, Universitat Pompeu Fabra, revised Apr 1999.
  6. Michael Woodford, 1999. "Optimal monetary policy inertia," Proceedings, Federal Reserve Bank of San Francisco.
  7. George W. Evans & Seppo Honkapohja, 2003. "Expectations and the Stability Problem for Optimal Monetary Policies," Review of Economic Studies, Wiley Blackwell, vol. 70(4), pages 807-824, October.
  8. Evans, G.W. & Honkapohja ,S. & Williams, N., 2005. "Generalized Stochastic Gradient Learning," Cambridge Working Papers in Economics 0545, Faculty of Economics, University of Cambridge.
  9. Fabio Milani, 2005. "Expectations, Learning and Macroeconomic Persistence," Working Papers 050608, University of California-Irvine, Department of Economics.
  10. Branch, William A. & Evans, George W., 2006. "A simple recursive forecasting model," Economics Letters, Elsevier, vol. 91(2), pages 158-166, May.
  11. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
  12. George W. Evans & Seppo Honkapohja, . "Economic Dynamics with Learning: New Stability Results," Computing in Economics and Finance 1997 51, Society for Computational Economics.
  13. Evans George W. & Guesnerie Roger, 1993. "Rationalizability, Strong Rationality, and Expectational Stability," Games and Economic Behavior, Elsevier, vol. 5(4), pages 632-646, October.
  14. Woodford, Michael, 1999. "Optimal monetary policy inertia," CFS Working Paper Series 1999/09, Center for Financial Studies (CFS).
  15. Bennett T. McCallum & Edward Nelson, 2000. "Timeless Perspectives vs. Discretionary Monetary Policy In Forward-Looking Models," NBER Working Papers 7915, National Bureau of Economic Research, Inc.
  16. Sergey Slobodyan & Anna Bogomolova & Dmitri Kolyuzhnov, 2006. "Stochastic Gradient versus Recursive Least Squares Learning," Computing in Economics and Finance 2006 446, Society for Computational Economics.
  17. John Duffy & Wei Xiao, 2006. "The Value of Interest Rate Stabilization Policies When Agents are Learning," Working Papers 284, University of Pittsburgh, Department of Economics, revised Oct 2006.
  18. James B. Bullard, 2006. "The learnability criterion and monetary policy," Review, Federal Reserve Bank of St. Louis, issue May, pages 203-217.
  19. M. H. Khalil Timamy, 2005. "Debate," Review of African Political Economy, Taylor & Francis Journals, vol. 32(104-105), pages 383-393, June.
  20. Fabio Milani, 2007. "Learning and Time-Varying Macroeconomic Volatility," Working Papers 070802, University of California-Irvine, Department of Economics.
  21. Fabio Milani, 2005. "Adaptive Learning and Inflation Persistence," Macroeconomics 0506013, EconWPA.
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Citations

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Cited by:
  1. George W. Evans & Seppo Honkapohja, 2009. "Expectations, Learning and Monetary Policy: An Overview of Recent Research," Central Banking, Analysis, and Economic Policies Book Series, in: Klaus Schmidt-Hebbel & Carl E. Walsh & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series (ed.), Monetary Policy under Uncertainty and Learning, edition 1, volume 13, chapter 2, pages 027-076 Central Bank of Chile.
  2. Emanuel, Gasteiger & Shoujian, Zhang, 2013. "Anticipation, Learning and Welfare: the Case of Distortionary Taxation," SIRE Discussion Papers 2013-50, Scottish Institute for Research in Economics (SIRE).
  3. 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.

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