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Monetary policy, indeterminacy and learning

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  • Evans, George W.
  • McGough, Bruce

Abstract

The development of tractable forward looking models of monetary policy has lead to an explosion of research on the implications of adopting Taylor-type interest rate rules. Indeterminacies have been found to arise for some specifications of the interest rate rule, raising the possibility of inefficient fluctuations due to the dependence of expectations on extraneous “sunspots ”. Separately, recent work by a number of authors has shown that sunspot equilibria previously thought to be unstable under private agent learning can in some cases be stable when the observed sunspot has a suitable time series structure. In this paper we generalize the “common factor ”technique, used in this analysis, to examine standard monetary models that combine forward looking expectations and predetermined variables. We consider a variety of specifications that incorporate both lagged and expected inflation in the Phillips Curve, and both expected inflation and inertial elements in the policy rule. We find that some policy rules can indeed lead to learnable sunspot solutions and we investigate the conditions under which this phenomenon arises. --

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Bibliographic Info

Paper provided by Center for Financial Studies (CFS) in its series CFS Working Paper Series with number 2003/37.

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Date of creation: 2003
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Handle: RePEc:zbw:cfswop:200337

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Keywords: Monetary Policy; sunspots; expectations; learning; stability;

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References

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  1. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
  2. Bernanke, Ben S & Woodford, Michael, 1997. "Inflation Forecasts and Monetary Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(4), pages 653-84, November.
  3. George W. Evans & Seppo Honkapohja & Ramon Marimon, 2004. "Stable sunspot equilibria in a cash-in-advance economy," Economics Working Papers 844, Department of Economics and Business, Universitat Pompeu Fabra, revised Jul 2005.
  4. Desgranges, Gabriel & Negroni, Giorgio, 2003. "Expectations Coordination On A Sunspot Equilibrium: An Eductive Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 7(01), pages 7-41, February.
  5. Woodford, Michael, 1990. "Learning to Believe in Sunspots," Econometrica, Econometric Society, vol. 58(2), pages 277-307, March.
  6. Richard Clarida & Jordi Gali & Mark Gertler, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," NBER Working Papers 7147, National Bureau of Economic Research, Inc.
  7. Michael Woodford, 1999. "Optimal monetary policy inertia," Proceedings, Federal Reserve Bank of San Francisco.
  8. Howitt, Peter & McAfee, R Preston, 1992. "Animal Spirits," American Economic Review, American Economic Association, vol. 82(3), pages 493-507, June.
  9. 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.
  10. George W. Evans & Seppo Honkapohja, 2002. "Adaptive Learning and Monetary Policy Design," University of Oregon Economics Department Working Papers 2002-18, University of Oregon Economics Department, revised 04 Mar 2004.
  11. Honkapohja, Seppo & Mitra, Kaushik, 2002. "Performance of monetary policy with internal central bank forecasting," Research Discussion Papers 3/2002, Bank of Finland.
  12. Fuhrer, Jeff & Moore, George, 1995. "Inflation Persistence," The Quarterly Journal of Economics, MIT Press, vol. 110(1), pages 127-59, February.
  13. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules And Macroeconomic Stability: Evidence And Some Theory," The Quarterly Journal of Economics, MIT Press, vol. 115(1), pages 147-180, February.
  14. Evans George W & McGough Bruce, 2005. "Indeterminacy and the Stability Puzzle in Non-Convex Economies," The B.E. Journal of Macroeconomics, De Gruyter, vol. 5(1), pages 1-46, September.
  15. Kaushik Mitra & James Bullard, . "Learning About Monetary Policy Rules," Discussion Papers 00/41, Department of Economics, University of York.
  16. Honkapohja, Seppo & Mitra, Kaushik, 2001. "Are Non-Fundamental Equilibria Learnable in Models of Monetary Policy?," CEPR Discussion Papers 2846, C.E.P.R. Discussion Papers.
  17. Evans, Geroge W & Honkapohja, Seppo & Romer, Paul, 1998. "Growth Cycles," American Economic Review, American Economic Association, vol. 88(3), pages 495-515, June.
  18. Evans, George W. & Honkapohja, Seppo, 2003. "Existence of adaptively stable sunspot equilibria near an indeterminate steady state," Journal of Economic Theory, Elsevier, vol. 111(1), pages 125-134, July.
  19. 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.
  20. Farmer Roger E. A. & Guo Jang-Ting, 1994. "Real Business Cycles and the Animal Spirits Hypothesis," Journal of Economic Theory, Elsevier, vol. 63(1), pages 42-72, June.
  21. Evans, George W. & Honkapohja, Seppo, 2003. "Expectational stability of stationary sunspot equilibria in a forward-looking linear model," Journal of Economic Dynamics and Control, Elsevier, vol. 28(1), pages 171-181, October.
  22. George W. Evans & Bruce McGough, 2002. "Stable Sunspot Solutions in Models with Predetermined Variables," University of Oregon Economics Department Working Papers 2002-16, University of Oregon Economics Department, revised 29 May 2003.
  23. Evans George W. & Honkapohja Seppo, 1994. "On the Local Stability of Sunspot Equilibria under Adaptive Learning Rules," Journal of Economic Theory, Elsevier, vol. 64(1), pages 142-161, October.
  24. Garratt, Anthony & Hall, Stephen G., 1997. "E-equilibria and adaptive expectations: Output and inflation in the LBS model," Journal of Economic Dynamics and Control, Elsevier, vol. 21(7), pages 1149-1171, June.
  25. Howitt, Peter, 1992. "Interest Rate Control and Nonconvergence to Rational Expectations," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 776-800, August.
  26. Woodford, Michael, 1999. "Optimal monetary policy inertia," CFS Working Paper Series 1999/09, Center for Financial Studies (CFS).
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