An alternative methodology for solving nonlinear forward-looking models

This paper presents a new methodology for solving nonlinear deterministic forward-looking models. Based on a relaxation algorithm described by Laffargue (1990), the methodology is theoretically founded on a general multivariate linear model. Then, a complete experimental scheme is provided in the nonlinear case, including solution time horizon selection and saddlepoint path testing strategies. The proposed experiment is mathematically robust and it does not require any expert knowledge in numerical analysis. It is especially adapted to the simulation exercises conducted on medium scale economic models.

[1]  S. Lioukas Peak load pricing under periodic and stochastic supply , 1983 .

[2]  Charles M. Kahn,et al.  THE SOLUTION OF LINEAR DIFFERENCE MODELS UNDER RATIONAL EXPECTATIONS , 1980 .

[3]  G. Stewart Introduction to matrix computations , 1973 .

[4]  M. Zarrop,et al.  On optimality and time consistency when expectations are rational , 1983 .

[5]  Alain Monfort,et al.  Rational Expectations in Dynamic Linear Models: Analysis of the Solutions , 1982 .

[6]  Paul Fisher,et al.  Rational expectations in macroeconomic models , 1992 .

[7]  Paul R. Masson,et al.  Multimod Mark II: A Revised and Extended Model , 1990 .

[8]  R. Fair,et al.  Solution and Maximum Likelihood Estimation of Dynamic Nonlinear Rationalexpectations Models , 1980 .

[9]  S. Hall On the Solution of Large Economic Models with Consistent Expectations , 1985 .

[10]  Raouf Boucekkine Monte Carlo experiments for large scale forward-looking economic models , 1994 .

[11]  Kenneth Frank Wallis,et al.  Models of the Uk Economy: A Review by the Esrc Macroeconomic Modelling Bureau , 1985 .

[12]  Rahim Loufir,et al.  Long run of macroeconometric models (the) : the case of multimod , 1994 .

[13]  Gene H. Golub,et al.  Matrix computations , 1983 .

[14]  F. Don,et al.  Solving path-dependent rational expectations models using the Fair-Taylor method , 1996 .

[15]  M. Deleau,et al.  The Long Run of Macroeconometric Models , 1989 .

[16]  David A. Lipton,et al.  Multiple Shooting in Rational Expectations Models , 1982 .

[17]  C. Gouriéroux,et al.  Reduced Forms of Rational Expectations Models , 1991 .

[18]  Jean-Pierre Laffargue,et al.  Rsolution d'un modle macroconomique avec anticipations rationnelles , 1990 .

[19]  Nancy L. Stokey,et al.  Recursive methods in economic dynamics , 1989 .

[20]  Jeremy J. Siegel,et al.  The Rational Expectations Revolution in Macroeconomics , 1983 .