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Robust Learning Stability with Operational Monetary Policy Rules

  • Evans, George W.
  • Honkapohja, Seppo

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 C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 6641.

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Date of creation: Jan 2008
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Handle: RePEc:cpr:ceprdp:6641
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  1. Evans, George W. & Honkapohja, Seppo, 2003. "Adaptive Learning and Monetary Policy Design," CEPR Discussion Papers 3962, C.E.P.R. Discussion Papers.
  2. George W. Evans & Seppo Honkapohja, 2008. "Learning and Macroeconomics," University of Oregon Economics Department Working Papers 2008-3, University of Oregon Economics Department.
  3. Athanasios Orphanides & John C. Williams, 2003. "Imperfect Knowledge, Inflation Expectations, and Monetary Policy," NBER Working Papers 9884, National Bureau of Economic Research, Inc.
  4. 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.
  5. Evans, George W & Honkapohja, Seppo, 1998. "Economic Dynamics with Learning: New Stability Results," Review of Economic Studies, Wiley Blackwell, vol. 65(1), pages 23-44, January.
  6. George W. Evans & Seppo Honkapohja & Noah Williams, 2010. "Generalized Stochastic Gradient Learning," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(1), pages 237-262, 02.
  7. 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.
  8. 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.
  9. Woodford, Michael, 2000. "Optimal Monetary Policy Inertia," Seminar Papers 666, Stockholm University, Institute for International Economic Studies.
  10. 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.
  11. Evans, G.W. & Guesnerie, R., 1992. "Rationalizability, Strong Rationality and Expectational Stability," DELTA Working Papers 92-03, DELTA (Ecole normale supérieure).
  12. Kaushik Mitra & James Bullard, . "Learning About Monetary Policy Rules," Discussion Papers 00/41, Department of Economics, University of York.
  13. George W. Evans & Seppo Honkapohja, 2006. "Monetary Policy, Expectations and Commitment," Scandinavian Journal of Economics, Wiley Blackwell, vol. 108(1), pages 15-38, 03.
  14. Milani, Fabio, 2007. "Expectations, learning and macroeconomic persistence," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 2065-2082, October.
  15. Fabio Milani, 2007. "Learning and Time-Varying Macroeconomic Volatility," Working Papers 070802, University of California-Irvine, Department of Economics.
  16. Wiliam Branch & George W. Evans, 2005. "A Simple Recursive Forecasting Model," University of Oregon Economics Department Working Papers 2005-3, University of Oregon Economics Department, revised 01 Feb 2005.
  17. Evans, George W. & Honkapohja, Seppo, 2001. "Expectations and the Stability Problem for Optimal Monetary Policies," CEPR Discussion Papers 2805, C.E.P.R. Discussion Papers.
  18. M. H. Khalil Timamy, 2005. "Debate," Review of African Political Economy, Taylor & Francis Journals, vol. 32(104-105), pages 383-393, June.
  19. Sergey Slobodyan & Anna Bogomolova, & Dmitri Kolyuzhnov, 2006. "Stochastic Gradient versus Recursive Least Squares Learning," CERGE-EI Working Papers wp309, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
  20. James B. Bullard, 2006. "The learnability criterion and monetary policy," Review, Federal Reserve Bank of St. Louis, issue May, pages 203-217.
  21. 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.
  22. Fabio Milani, 2005. "Adaptive Learning and Inflation Persistence," Working Papers 050607, University of California-Irvine, Department of Economics.
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