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On Boundary Conditions within the Solution of Macroeconomic Dynamic Models with Rational Expectations

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  • Frank HESPELER

Abstract

This article develops a solution method, which integrates a transversality condition representing the terminal condition of a dynamic model with an infinite horizon into the solution of a macroeconomic rational expectations model. Thus this transversality condition can be used to decrease the potential degree of indeterminacy within the model by reducing the degrees of freedom. Conditions which assess the relevance of the method, are derived and discussed. Numerical simulations of example models substantiate the potential of the transversality condition to lower the degree of indeterminacy in their solutions. Copyright Springer Science+Business Media, LLC. 2012
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  • Frank HESPELER, 2008. "On Boundary Conditions within the Solution of Macroeconomic Dynamic Models with Rational Expectations," EcoMod2008 23800050, EcoMod.
    • Handle: RePEc:ekd:000238:23800050
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    1. George W. Evans & Seppo Honkapohja, 1998. "Economic Dynamics with Learning: New Stability Results," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(1), pages 23-44.
    2. King, Robert G & Watson, Mark W, 2002. "System Reduction and Solution Algorithms for Singular Linear Difference Systems under Rational Expectations," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 57-86, October.
    3. Frank Hespeler, 2008. "Solution Algorithm to a Class of Monetary Rational Equilibrium Macromodels with Optimal Monetary Policy Design," Computational Economics, Springer;Society for Computational Economics, vol. 31(3), pages 207-223, April.
    4. Jo Anna Gray & Stephen W. Salant, 1981. "Transversality conditions in infinite horizon models," International Finance Discussion Papers 172, Board of Governors of the Federal Reserve System (U.S.).
    5. McCallum, Bennett T., 1998. "Solutions to linear rational expectations models: a compact exposition," Economics Letters, Elsevier, vol. 61(2), pages 143-147, November.
    6. 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.
    7. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    8. 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.
    9. 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.
    10. 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.
    11. Binder, Michael & Pesaran, M. Hashem, 1997. "Multivariate Linear Rational Expectations Models," Econometric Theory, Cambridge University Press, vol. 13(6), pages 877-888, December.
    12. Onatski, Alexei, 2006. "Winding number criterion for existence and uniqueness of equilibrium in linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 30(2), pages 323-345, February.
    13. Driskill, Robert, 2006. "Multiple equilibria in dynamic rational expectations models: A critical review," European Economic Review, Elsevier, vol. 50(1), pages 171-210, January.
    14. 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.
    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. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
    17. Pawel Kowal, 2005. "An Algorithm for Solving Arbitrary Linear Rational Expectations Model," GE, Growth, Math methods 0501001, University Library of Munich, Germany, revised 12 Jun 2005.
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