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Solving the Stochastic Growth Model by Linear-Quadratic Approximation and by Value-Function Iteration

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  • Christiano, Lawrence J

Abstract

This article describes three approximation methods I used to solve the growth model (Model 1) studied by the National Bureau of Economic Research's nonlinear rational-expectations-modeling group project, the results of which are summarized by Taylor and Uhling (1990). The methods involve computing exact solutions to models that approximate Model 1 in different ways. The first two methods approximate Model 1 about its nonstochastic steady state. The third method works with a version of the model in which the state space has been discretized. A value-function iteration method is used to solve that model.

Suggested Citation

  • Christiano, Lawrence J, 1990. "Solving the Stochastic Growth Model by Linear-Quadratic Approximation and by Value-Function Iteration," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 23-26, January.
  • Handle: RePEc:bes:jnlbes:v:8:y:1990:i:1:p:23-26
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    Cited by:

    1. McGrattan, Ellen R., 1996. "Solving the stochastic growth model with a finite element method," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 19-42.
    2. Maldonado, Wilfredo L. & Moreira, Humberto Luiz Ataíde, 2006. "Solving Euler Equations: Classical Methods and the C^1 Contraction Mapping Method Revisited," Revista Brasileira de Economia - RBE, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil), vol. 60(2), November.
    3. Ravn, Morten O. & Mazzenga, Elisabetta, 2004. "International business cycles: the quantitative role of transportation costs," Journal of International Money and Finance, Elsevier, vol. 23(4), pages 645-671, June.
    4. TallariniJr., Thomas D., 2000. "Risk-sensitive real business cycles," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 507-532, June.
    5. Correia, Isabel & Neves, Joao C. & Rebelo, Sergio, 1995. "Business cycles in a small open economy," European Economic Review, Elsevier, vol. 39(6), pages 1089-1113, June.
    6. Pesaran, M. Hashem & Potter, Simon M., 1997. "A floor and ceiling model of US output," Journal of Economic Dynamics and Control, Elsevier, vol. 21(4-5), pages 661-695, May.
    7. Burgess, Simon & Turon, Hélène, 2010. "Worker flows, job flows and unemployment in a matching model," European Economic Review, Elsevier, vol. 54(3), pages 393-408, April.
    8. Maldonado, Wilfredo L. & Svaiter, B.F., 2007. "Holder continuity of the policy function approximation in the value function approximation," Journal of Mathematical Economics, Elsevier, vol. 43(5), pages 629-639, June.
    9. Dale Mortensen & Christopher Pissarides, 1992. "The Cyclical Behavior of Job Creation and Job Destruction," Discussion Papers 982, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    10. S. Sirakaya & Stephen Turnovsky & M. Alemdar, 2006. "Feedback Approximation of the Stochastic Growth Model by Genetic Neural Networks," Computational Economics, Springer;Society for Computational Economics, vol. 27(2), pages 185-206, May.
    11. King, Robert G. & Rebelo, Sergio T., 1999. "Resuscitating real business cycles," Handbook of Macroeconomics,in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 14, pages 927-1007 Elsevier.
    12. Mariano Bosch & Julen Esteban-Pretel, 2009. "Cyclical Informality and Unemployment," CIRJE F-Series CIRJE-F-613, CIRJE, Faculty of Economics, University of Tokyo.
    13. Jeffrey C. Fuhrer & C. Hoyt Bleakley, "undated". "Computationally Efficient Solution and Maximum Likelihood Estimation of Nonlinear Rational Expectations Models," Computing in Economics and Finance 1997 35, Society for Computational Economics.
    14. Bayraktar, Nihal & Sakellaris, Plutarchos & Vermeulen, Philip, 2005. "Real versus financial frictions to capital investment," Working Paper Series 566, European Central Bank.
    15. Corradi, Valentina & Swanson, Norman R., 2004. "A test for the distributional comparison of simulated and historical data," Economics Letters, Elsevier, vol. 85(2), pages 185-193, November.
    16. L'Haridon, Olivier & Malherbet, Franck, 2002. "Unemployment Compensation Finance and Aggregate Employment Fluctuations," CEPR Discussion Papers 3614, C.E.P.R. Discussion Papers.
    17. DeJong, David N. & Ingram, Beth F. & Whiteman, Charles H., 2000. "A Bayesian approach to dynamic macroeconomics," Journal of Econometrics, Elsevier, vol. 98(2), pages 203-223, October.
    18. Anagnostopoulos Alexis & Tang Xin, 2015. "Evaluating linear approximations in a two-country model with occasionally binding borrowing constraints," The B.E. Journal of Macroeconomics, De Gruyter, vol. 15(1), pages 1-49, January.
    19. Mirta N. S. Bugarin, 2000. "Progressive Taxation and the Real Business Cycle," Econometric Society World Congress 2000 Contributed Papers 1897, Econometric Society.
    20. Boucekkine, Raouf & Adda, Jerome, 1995. "Liquidity constraints and time non-separable preferences: simulating models with large state spaces," UC3M Working papers. Economics 3911, Universidad Carlos III de Madrid. Departamento de Economía.
    21. Reiter, Michael, 1997. "Chow's method of optimal control," Journal of Economic Dynamics and Control, Elsevier, vol. 21(4-5), pages 723-737, May.
    22. Bosch, Mariano & Esteban-Pretel, Julen, 2012. "Job creation and job destruction in the presence of informal markets," Journal of Development Economics, Elsevier, vol. 98(2), pages 270-286.
    23. Wilfredo Leiva Maldonado & Benar Fux Svaiter, 2001. "On the accuracy of the estimated policy function using the Bellman contraction method," Economics Bulletin, AccessEcon, vol. 3(15), pages 1-8.
    24. Ralph Chami & Thomas F. Cosimano & Connel Fullenkamp, 2001. "Capital Trading, Stock Trading, and the Inflation Tax on Equity," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(3), pages 575-606, July.

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