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Refining linear rational expectations models and equilibria

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Listed author(s):
  • Cho, Seonghoon
  • McCallum, Bennett T.

Abstract

This paper develops the case for forward convergence as a model refinement scheme for linear rational expectations models and an associated no-bubble condition as a solution selection criterion. We relate these two concepts to determinacy and characterize the complete set of economically relevant rational expectations solutions to the linear rational expectations models under determinacy and indeterminacy. Our results show (1) why a determinate solution is economically cogent in most, but not all, cases, and (2) that those models that are not forward-convergent have no economically relevant solutions.

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File URL: http://www.sciencedirect.com/science/article/pii/S016407041500110X
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Article provided by Elsevier in its journal Journal of Macroeconomics.

Volume (Year): 46 (2015)
Issue (Month): C ()
Pages: 160-169

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Handle: RePEc:eee:jmacro:v:46:y:2015:i:c:p:160-169
DOI: 10.1016/j.jmacro.2015.09.004
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622617

Keywords: Determinacy; Forward convergence; No-bubble condition; Rational expectations;

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Find related papers by JEL classification:
  • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
  • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
  • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles

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  1. 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.
  2. Jordi Galí & Tommaso Monacelli, 2005. "Monetary Policy and Exchange Rate Volatility in a Small Open Economy," Review of Economic Studies, Oxford University Press, vol. 72(3), pages 707-734.
  3. McCallum, Bennett T., 2007. "E-stability vis-a-vis determinacy results for a broad class of linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1376-1391, April.
  4. 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 1015-1026, November.
  5. 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.
  6. Bennett T. McCallum, 2012. "Determinacy, Learnability, Plausibility, and the Role of Money in New Keynesian Models," NBER Working Papers 18215, National Bureau of Economic Research, Inc.
  7. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
  8. 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.
  9. Cho, Seonghoon & Moreno, Antonio, 2011. "The forward method as a solution refinement in rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 35(3), pages 257-272, March.
  10. Blanchard, Olivier J, 1979. "Backward and Forward Solutions for Economies with Rational Expectations," American Economic Review, American Economic Association, vol. 69(2), pages 114-118, May.
  11. 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.
  12. John Y. Campbell & Carolin Pflueger & Luis M. Viceira, 2013. "Monetary Policy Drivers of Bond and Equity Risks," Harvard Business School Working Papers 14-031, Harvard Business School, revised Jun 2015.
  13. Cho, Seonghoon & McCallum, Bennett T., 2009. "Another weakness of "determinacy" as a selection criterion for rational expectations models," Economics Letters, Elsevier, vol. 104(1), pages 17-19, July.
  14. Driskill, Robert, 2006. "Multiple equilibria in dynamic rational expectations models: A critical review," European Economic Review, Elsevier, vol. 50(1), pages 171-210, January.
  15. Honkapohja, Seppo & Mitra, Kaushik, 2004. "Are non-fundamental equilibria learnable in models of monetary policy?," Journal of Monetary Economics, Elsevier, vol. 51(8), pages 1743-1770, November.
  16. McCallum, Bennett T., 1998. "Solutions to linear rational expectations models: a compact exposition," Economics Letters, Elsevier, vol. 61(2), pages 143-147, November.
  17. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
  18. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
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Cited by:

  1. Dennis Bonam & Bart Hobijn, 2016. "Generalized stability of monetary unions under regime switching in monetary and fiscal policies," DNB Working Papers 524, Netherlands Central Bank, Research Department.
  2. Seonghoon Cho, 2016. "Sufficient Conditions for Determinacy in a Class of Markov-Switching Rational Expectations Models," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 21, pages 182-200, July.

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