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An Application of Sparse Methods to Solving a Multi-Country Model With Rational Expectations

  • Gary S. Anderson


    (Board of Governors, Federal Reserve System, Washington)

Anderson and Moore� presents a procedure for solving linear perfect foresight models and Andersonn[Anderson1993] shows how to apply this technique to non linear models. The technique requires eigenvalue computations for a sparse linear system to deal with the long run dynamics and computations with large sparse band diagonal matrices for computing the nonlinear trajectory of the model variables. This paper applies methods for exploiting the special structure of these band diagonal linear systems Bai's SRRIT algorithm [Bai and Stewart1992] for computing vectors spanning the invariant space of a sparse linear system. These techniques dramatically reduce computational requirements while enhancing the accuracy and robustness of the original algorithm. The paper presents solution results for a variant of the multicountry model presented in Edison, Marques and Tyon�

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Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 1996 with number _063.

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Handle: RePEc:sce:scecf6:_063
Contact details of provider: Postal: Department of Econometrics, University of Geneva, 102 Bd Carl-Vogt, 1211 Geneva 4, Switzerland
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  1. Gilli, Manfred & Pauletto, Giorgio, 1997. "Sparse direct methods for model simulation," Journal of Economic Dynamics and Control, Elsevier, vol. 21(6), pages 1093-1111, June.
  2. Ray C. Fair & John B. Taylor, 1980. "Solution and Maximum Likelihood Estimation of Dynamic Nonlinear Rational Expectations Models," Cowles Foundation Discussion Papers 564, Cowles Foundation for Research in Economics, Yale University.
  3. Jean-Pierre LAFFARGUE, 1990. "Résolution d'un modèle macroéconomique avec anticipations rationnelles," Annales d'Economie et de Statistique, ENSAE, issue 17, pages 97-119.
  4. Boucekkine, Raouf, 1995. "An alternative methodology for solving nonlinear forward-looking models," Journal of Economic Dynamics and Control, Elsevier, vol. 19(4), pages 711-734, May.
  5. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
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