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How to get the Blanchard-Kahn form from a general linear rational expectations model

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  • Boucekkine, Raouf
  • Le Van, Cuong
  • Schubert, Katheline

Abstract

In this paper, we prove that every linear model with rational expectations can be transformed by the means of an one-to-one mapping into another model which has one of the following properties: i) it is degenerated, ii) it is backward, ii) it has the Blanchard-Kahn form. In addition to sorne simple illustrations, we provide two applications on two nonlinear forward-looking economic models in order to show how to use our theoretical analysis for local stability assessment.

Suggested Citation

  • Boucekkine, Raouf & Le Van, Cuong & Schubert, Katheline, 1996. "How to get the Blanchard-Kahn form from a general linear rational expectations model," UC3M Working papers. Economics 3974, Universidad Carlos III de Madrid. Departamento de Economía.
    • Handle: RePEc:cte:werepe:3974
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    1. 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.
    2. Laurence Broze & Christian Gourieroux & Ariane Szafarz, 1990. "Reduced Forms of Rational Expectations Models," ULB Institutional Repository 2013/647, ULB -- Universite Libre de Bruxelles.
    3. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
    4. Loufir, Rahim & Malgrange, Pierre, 1994. "Long run of macroeconometric models (the) : the case of multimod," CEPREMAP Working Papers (Couverture Orange) 9413, CEPREMAP.
    5. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    6. Greenwood, Jeremy & Hercowitz, Zvi & Huffman, Gregory W, 1988. "Investment, Capacity Utilization, and the Real Business Cycle," American Economic Review, American Economic Association, vol. 78(3), pages 402-417, June.
    7. Boucekkine, Raouf & Le Van, Cuong, 1996. "Checking for Saddlepoint Stability: An Easy Test," Computational Economics, Springer;Society for Computational Economics, vol. 9(4), pages 317-330, November.
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    Cited by:

    1. Zadrozny, Peter A., 1998. "An eigenvalue method of undetermined coefficients for solving linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1353-1373, August.
    2. Paul Levine & Joseph Pearlman & Stephen Wright & Bo Yang, 2019. "Information, VARs and DSGE Models," School of Economics Discussion Papers 1619, School of Economics, University of Surrey.

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    Keywords

    Rational Expectations;

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