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How to Get the Blanchard-Kahn Form from a General Linear Rational Expectations Model

Author

Listed:
  • Raouf Boucekkine

    (Universidad Carlos III de Madrid)

  • Cuong Le Van

    (CEPREMAP, Paris)

  • Katheline Schubert

    (Universt Paris I)

Abstract

In this paper we prove that every linear model with rational expectations can be transformed by 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, iii) it has a Blanchard-Kahn form. In addition to some 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 assessement.

Suggested Citation

  • Raouf Boucekkine & Cuong Le Van & Katheline Schubert, "undated". "How to Get the Blanchard-Kahn Form from a General Linear Rational Expectations Model," Computing in Economics and Finance 1996 _035, Society for Computational Economics.
    • Handle: RePEc:sce:scecf6:_035
    as

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    References listed on IDEAS

    as
    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. Loufir, Rahim & Malgrange, Pierre, 1994. "Long run of macroeconometric models (the) : the case of multimod," CEPREMAP Working Papers (Couverture Orange) 9413, CEPREMAP.
    4. 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.
    5. 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.
    6. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    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. 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.
    2. 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.

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    Keywords

    Expectations; Blanchard-Kahn form; reduction algorithms.;
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