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Terminal conditions as efficent instruments for numerical detection of the saddlepoint paths: a linear algebra non-robustness argument

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  • Boucekkine, Raouf

Abstract

In this paper, we address a criticism against the usual prescriptions on the introduction of terminal conditions as the principal numerical instruments for detecting the saddlepoint solutions of consistent expectations models. The argumentation is purely theoretical and it is conducted on a canonical linear infinite-time horizon model, approximated by the means of an elementary fixed-value terminal condition. Considering two equivalent algebraic representations of the model, we show that the asymptotic behavior of a backward solution method, associated to the fixed-value terminal condition, depends crucially on the selected algebraic formulation of the model.

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  • Boucekkine, Raouf, 1993. "Terminal conditions as efficent instruments for numerical detection of the saddlepoint paths: a linear algebra non-robustness argument," UC3M Working papers. Economics 2898, Universidad Carlos III de Madrid. Departamento de Economía.
    • Handle: RePEc:cte:werepe:2898
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    1. Fair, Ray C & Taylor, John B, 1983. "Solution and Maximum Likelihood Estimation of Dynamic Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 51(4), pages 1169-1185, July.
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    1. Boucekkine, Raouf & Juillard, Michel & Malgrange, Pierre, 1997. "Precision Performances of Terminal Conditions for Short Time Horizons Forward-Looking Systems," Computational Economics, Springer;Society for Computational Economics, vol. 10(2), pages 169-186, May.

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    Consistent expectations;

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