The forward method as a solution refinement in rational expectations models
This paper generalizes the standard forward method of recursive substitution to a general class of linear rational expectations models with potentially multiple fundamental solutions. It is shown that the existence and uniqueness of the well-known forward solution are preserved in a general context. We also propose a key property embedded in the forward solution - the no-bubble condition - as an economically sensible solution refinement in the class of fundamental solutions. In the literature, the no-bubble condition has been assumed to rule out non-fundamental bubble solutions. We show that the forward solution is the only rational expectations equilibrium satisfying the no-bubble condition and consequently, it is the most relevant fundamental solution within the class of fundamental equilibria. Several economic examples are provided where the fundamental solutions obtained by other solution methods and refined by other solution selection criteria violate the no-bubble condition.
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- Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, March.
- Bennett McCallum, 2004.
"On the Relationship Between Determinate and MSV Solutions in Linear RE Models,"
NBER Technical Working Papers
0297, National Bureau of Economic Research, Inc.
- McCallum, Bennett T., 2004. "On the relationship between determinate and MSV solutions in linear RE models," Economics Letters, Elsevier, vol. 84(1), pages 55-60, July.
- Bennett McCallum, . "On the Relationship Between Determinate and MSV Solutions in Linear RE Models," GSIA Working Papers 2003-E78, Carnegie Mellon University, Tepper School of Business.
- Carl E. Walsh, 2003. "Monetary Theory and Policy, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232316, March.
- Bennett T. Mccallum, 2011.
"Causality, Structure And The Uniqueness Of Rational Expectations Equilibria,"
University of Manchester, vol. 79(s1), pages 551-566, 06.
- Bennett T. McCallum, 2009. "Causality, Structure, and the Uniqueness of Rational Expectations Equilibria," NBER Working Papers 15234, National Bureau of Economic Research, Inc.
- Roger E.A. Farmer & Jang Ting Guo, 1992.
"Real Business Cycles and the Animal Spirits Hypothesis,"
UCLA Economics Working Papers
680, UCLA Department of Economics.
- 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.
- Thomas A. Lubik & Frank Schorfheide, 2004.
"Testing for Indeterminacy: An Application to U.S. Monetary Policy,"
American Economic Review,
American Economic Association, vol. 94(1), pages 190-217, March.
- Thomas Lubik & Frank Schorfheide, 2002. "Testing for Indeterminacy:An Application to U.S. Monetary Policy," Economics Working Paper Archive 480, The Johns Hopkins University,Department of Economics, revised Jun 2003.
- McCallum, Bennett T., 1983.
"On non-uniqueness in rational expectations models : An attempt at perspective,"
Journal of Monetary Economics,
Elsevier, vol. 11(2), pages 139-168.
- Bennett T. McCallum, 1981. "On Non-Uniqueness in Rational Expectations Models: An Attempt at Perspective," NBER Working Papers 0684, National Bureau of Economic Research, Inc.
- 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.
- Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July.
- Sims, Christopher A, 2002.
"Solving Linear Rational Expectations Models,"
Springer;Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
- Christopher Sims, 2001. "Matlab Code for Solving Linear Rational Expectations Models," QM&RBC Codes 11, Quantitative Macroeconomics & Real Business Cycles.
- Devereux, Michael B & Mansoorian, Arman, 1992. "International Fiscal Policy Coordination and Economic Growth," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(2), pages 249-68, May.
- Driskill, Robert, 2006. "Multiple equilibria in dynamic rational expectations models: A critical review," European Economic Review, Elsevier, vol. 50(1), pages 171-210, January.
- Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467.
- Blanchard, Olivier J, 1979. "Backward and Forward Solutions for Economies with Rational Expectations," American Economic Review, American Economic Association, vol. 69(2), pages 114-18, May.
- 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.
- Dornbusch, Rudiger, 1976. "Expectations and Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1161-76, December.
- Binder, M. & Pesaran, H., 1996.
"Multivariate Linear Rational Expectations Models: Characterisation of the Nature of the Solutions and Their Fully Recursive Computation,"
Cambridge Working Papers in Economics
9619, Faculty of Economics, University of Cambridge.
- Michael Binder & M. Hashem Pesaran, 1997. "GAUSS and Matlab codes for Multivariate Linear Rational Expectations Models: Characterization of the Nature of the Solutions and Their Fully Recursive Computation," QM&RBC Codes 73, Quantitative Macroeconomics & Real Business Cycles.
- Bennett T. McCallum, .
"Role of the minimal state variable criterion in rational expectations models,"
GSIA Working Papers
1999-13, Carnegie Mellon University, Tepper School of Business.
- Bennett McCallum, 1999. "Role of the Minimal State Variable Criterion in Rational Expectations Models," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 6(4), pages 621-639, November.
- Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
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