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The Unique Minimum State Variable RE Solution is E-Stable in All Well Formulated Linear Models

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Bennett T. McCallum

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Abstract

This paper explores the relationship between the closely linked concepts of E-stability and least-squares learnability, featured in recent work by Evans and Honkapohja (1999, 2001), and the minimum-state-variable (MSV) solution defined by McCallum (1983) and used by many researchers for rational expectations (RE) analysis. It is shown that the MSV solution, which is unique by construction, is E-stable--and therefore LS learnable when nonexplosive--in all linear RE models that satisfy conditions for being well formulated.' The latter property involves two requirements. The first is that values of the model's parameters are restricted so as to avoid any infinite discontinuity, of the steady state values of endogenous variables, in response to small changes in these parameters. (It is expressed in terms of the eigenvalues of a matrix that is the sum of those attached to the one-period-ahead and one-period-lagged values of the endogenous variables in a first-order vector formulation of the model.) The second, which is needed infrequently, is that the parameters are restricted to prevent any infinite discontinuities in the MSV response coefficients.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 9960.

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Date of creation: Sep 2003
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Handle: RePEc:nbr:nberwo:9960

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E00 - Macroeconomics and Monetary Economics - - General - - - General
C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming

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  1. repec:cup:macdyn:v:7:y:2003:i:2:p:171-91 is not listed on IDEAS
  2. James Bullard & Kaushik Mitra, 2002. "Learning about monetary policy rules," Working Papers 2000-001, Federal Reserve Bank of St. Louis. [Downloadable!]
    Other versions:
  3. John H. Cochrane, 1998. "A Frictionless View of U.S. Inflation," NBER Working Papers 6646, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  4. 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.
    Other versions:
  5. Binder,M. & Pesaran,H.M., 1995. "Multivariate Rational Expectations Models and Macroeconomic Modelling: A Review and Some New Results," Cambridge Working Papers in Economics 9415, Faculty of Economics, University of Cambridge.
    Other versions:
  6. Sims, Christopher A, 1994. "A Simple Model for Study of the Determination of the Price Level and the Interaction of Monetary and Fiscal Policy," Economic Theory, Springer, vol. 4(3), pages 381-99.
  7. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001. "The Perils of Taylor Rules," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 40-69, January. [Downloadable!] (restricted)
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  8. King, Robert G & Watson, Mark W, 1998. "The Solution of Singular Linear Difference Systems under Rational Expectations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1015-26, November.
  9. Uhlig, H., 1995. "A toolkit for analyzing nonlinear dynamic stochastic models easily," Discussion Paper 97, Tilburg University, Center for Economic Research. [Downloadable!]
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  10. repec:cup:macdyn:v:7:y:2003:i:1:p:63-88 is not listed on IDEAS
  11. Robert A. Driskill, 2002. "A Proposal for a Selection Criterion in a Class of Dynamic Rational Expectations Models with Multiple Equilibria," Working Papers 0210, Department of Economics, Vanderbilt University. [Downloadable!]
  12. Bennett T. McCallum, 1983. "On Non-Uniqueness in Rational Expectations Models: An Attempt at Perspective," NBER Working Papers 0684, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  13. Flood, Robert P & Garber, Peter M, 1980. "An Economic Theory of Monetary Reform," Journal of Political Economy, University of Chicago Press, vol. 88(1), pages 24-58, February. [Downloadable!] (restricted)
  14. Bray, Margaret, 1982. "Learning, estimation, and the stability of rational expectations," Journal of Economic Theory, Elsevier, vol. 26(2), pages 318-339, April. [Downloadable!] (restricted)
  15. Desgranges, G. & Gauthier, S., 1999. "On the Uniqueness of the Bubble-Free Solution in Linear Rational Expectations Models," G.R.E.Q.A.M. 99a45, Universite Aix-Marseille III.
  16. Wenzelburger, Jan, 2006. "Learning in linear models with expectational leads," Journal of Mathematical Economics, Elsevier, vol. 42(7-8), pages 854-884, November. [Downloadable!] (restricted)
  17. Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August. [Downloadable!] (restricted)
  18. Michael Woodford, 1994. "Nonstandard Indicators for Monetary Policy: Can Their Usefulness Be Judged from Forecasting Regressions?," NBER Chapters, in: Monetary Policy, pages 95-115 National Bureau of Economic Research, Inc. [Downloadable!]
  19. Evans, George, 1985. "Expectational Stability and the Multiple Equilibria Problem in Linear Rational Expectations Models," The Quarterly Journal of Economics, MIT Press, vol. 100(4), pages 1217-33, November. [Downloadable!] (restricted)
  20. DeCanio, Stephen J, 1979. "Rational Expectations and Learning from Experience," The Quarterly Journal of Economics, MIT Press, vol. 93(1), pages 47-57, February. [Downloadable!] (restricted)
  21. Narayana Kocherlakota & Christopher Phelan, 1999. "Explaining the fiscal theory of the price level," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 14-23. [Downloadable!]
  22. Evans, George W & Honkapohja, Seppo, 1992. "On the Robustness of Bubbles in Linear RE Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(1), pages 1-14, February. [Downloadable!] (restricted)
  23. Robert G. King, 2000. "The new IS-LM model : language, logic, and limits," Economic Quarterly, Federal Reserve Bank of Richmond, issue Sum, pages 45-103. [Downloadable!]
  24. 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. [Downloadable!]
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  25. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252. [Downloadable!] (restricted)
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Cited by:
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  1. Takeshi Kimura & Takushi Kurozumi, 2003. "Optimal monetary policy in a micro-founded model with parameter uncertainty," Finance and Economics Discussion Series 2003-67, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
    Other versions:
  2. Fanelli, Luca, 2008. "Evaluating the New Keynesian Phillips Curve under VAR-Based Learning," Economics Discussion Papers 2008-15, Kiel Institute for the World Economy. [Downloadable!]
    Other versions:
  3. Heinz-Peter Spahn, 2004. "Learning in Macroeconomics and Monetary Policy: The Case of an Open Economy," Diskussionspapiere aus dem Institut für Volkswirtschaftslehre der Universität Hohenheim 236/2004, Department of Economics, University of Hohenheim, Germany. [Downloadable!]
  4. Joseph Pearlman, 2007. " Is There More than One Way to be E-Stable?," CDMA Working Paper Series 0701, Centre for Dynamic Macroeconomic Analysis. [Downloadable!]
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