Solving the Stochastic Growth Model by Using Quadrature Methods and Value-Function Iterations

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Solving the Stochastic Growth Model by Using Quadrature Methods and Value-Function Iterations

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Tauchen, George

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George Tauchen

Abstract

This article presents a solution algorithm for the capital growth model. The algorithm uses value-function iterations on a discrete state space. The quadrature method is used to set the grid for the exogenous process, and a simple equispaced scheme in logarithms is used to set the grid for the endogenous capital process. The algorithm can produce a solution to within four-digit accuracy using a state space composed of 1,800 points in total.

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Publisher Info
Article provided by American Statistical Association in its journal Journal of Business and Economic Statistics.

Volume (Year): 8 (1990)
Issue (Month): 1 (January)
Pages: 49-51
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Handle: RePEc:bes:jnlbes:v:8:y:1990:i:1:p:49-51

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Paul McNelis & John Duffy, 1998. "Approximating and Simulating the Stochastic Growth Model: Parameterized Expectations, Neural Networks, and the Genetic Algorithm," GE, Growth, Math methods 9804004, EconWPA, revised 04 May 1998. [Downloadable!]
Other versions:
- Duffy, John & McNelis, Paul D., 2001. "Approximating and simulating the stochastic growth model: Parameterized expectations, neural networks, and the genetic algorithm," Journal of Economic Dynamics and Control, Elsevier, vol. 25(9), pages 1273-1303, September. [Downloadable!] (restricted)
Wilfredo Leiva Maldonado & Benar Fux Svaiter, 2001. "On the accuracy of the estimated policy function using the Bellman contraction method," Economics Bulletin, Economics Bulletin, vol. 3, pages 1-8. [Downloadable!]
Other versions:
- Wilfredo L. Maldonado & Benar F. Svaiter, 2002. "On the accuracy of the estimated policy function using the Bellman contraction method," Computing in Economics and Finance 2002 30, Society for Computational Economics.
Kenneth L. Judd, 1991. "Minimum weighted residual methods for solving aggregate growth models," Discussion Paper / Institute for Empirical Macroeconomics 49, Federal Reserve Bank of Minneapolis. [Downloadable!]
John Rust, 1997. "A Comparison of Policy Iteration Methods for Solving Continuous-State, Infinite-Horizon Markovian Decision Problems Using Random, Quasi-random, and Deterministic Discretizations," Computational Economics 9704001, EconWPA. [Downloadable!]

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