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Comparing solution methods for dynamic equilibrium economies

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Author Info
S. Boragan Aruoba
Jesus Fernandez-Villaverde
Juan Francisco Rubio-Ramirez

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Abstract

This paper compares solution methods for dynamic equilibrium economies. The authors compute and simulate the stochastic neoclassical growth model with leisure choice using Undetermined Coefficients in levels and in logs, Finite Elements, Chebyshev Polynomials, Second and Fifth Order Perturbations and Value Function Iteration for several calibrations. The authors document the performance of the methods in terms of computing time, implementation complexity and accuracy and they present some conclusions about their preferred approaches based on the reported evidence.

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Paper provided by Federal Reserve Bank of Atlanta in its series Working Paper with number 2003-27.

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Date of creation: 2003
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Handle: RePEc:fip:fedawp:2003-27

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  2. Kenneth L. Judd & Sy-Ming Guu, 2001. "Asymptotic Methods for Asset Market Equilibrium Analysis," NBER Working Papers 8135, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  4. Manuel S. Santos, 2000. "Accuracy of Numerical Solutions using the Euler Equation Residuals," Econometrica, Econometric Society, vol. 68(6), pages 1377-1402, November.
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  7. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September. [Downloadable!] (restricted)
  8. Jesus Fernandez-Villaverde & Juan Francisco Rubio-Ramírez, 2003. "Some results on the solution of the neoclassical growth model," Working Paper 2003-34, Federal Reserve Bank of Atlanta. [Downloadable!]
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  9. Ellen R. McGrattan & Edward C. Prescott, 2000. "Is the stock market overvalued?," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 20-40. [Downloadable!]
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  10. Jesus Fernandez-Villaverde & Juan F. Rubio-Ramirez, 2004. "Estimating Nonlinear Dynamic Equilibrium economies: A Likelihood Approach," PIER Working Paper Archive 04-001, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania. [Downloadable!]
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  11. Christiano, Lawrence J. & Fisher, Jonas D. M., 2000. "Algorithms for solving dynamic models with occasionally binding constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 24(8), pages 1179-1232, July. [Downloadable!] (restricted)
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  17. Ellen R. McGrattan, 1998. "Application of weighted residual methods to dynamic economic models," Staff Report 232, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  21. Jesus Fernández-Villaverde & Juan F. Rubio-Ramírez, 2001. "Comparing dynamic equilibrium economies to data," Working Paper 2001-23, Federal Reserve Bank of Atlanta. [Downloadable!]
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  22. repec:cup:macdyn:v:1:y:1997:i:1:p:45-75 is not listed on IDEAS
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  24. Coleman, Wilbur John, II, 1990. "Solving the Stochastic Growth Model by Policy-Function Iteration," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 27-29, January.
  25. Christiano, Lawrence J, 1990. "Linear-Quadratic Approximation and Value-Function Iteration: A Comparison," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 99-113, January.
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  31. Stephanie Schmitt-Grohe & Martin Uribe, 2002. "Solving Dynamic General Equilibrium Models Using a Second-Order Approximation to the Policy Function," NBER Technical Working Papers 0282, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  32. King, Robert G & Plosser, Charles I & Rebelo, Sergio T, 2002. "Production, Growth and Business Cycles: Technical Appendix," Computational Economics, Springer, vol. 20(1-2), pages 87-116, October. [Downloadable!]
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  33. Hans M. Amman & David A. Kendrick, . "Computational Economics," Online economics textbooks, SUNY-Oswego, Department of Economics, number comp1, March. [Downloadable!]
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