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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.

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Bibliographic 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: 23-26

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Handle: RePEc:bes:jnlbes:v:8:y:1990:i:1:p:23-26

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Cited by:
  1. Mariano Bosch & Julen Esteban-Pretel, 2009. "Cyclical Informality and Unemployment," CIRJE F-Series CIRJE-F-613, CIRJE, Faculty of Economics, University of Tokyo.
  2. Ellen R. McGrattan, 1993. "Solving the stochastic growth model with a finite element method," Staff Report 164, Federal Reserve Bank of Minneapolis.
  3. L'Haridon, Olivier & Malherbet, Franck, 2002. "Unemployment Compensation Finance and Aggregate Employment Fluctuations," CEPR Discussion Papers 3614, C.E.P.R. Discussion Papers.
  4. 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.
  5. Robert G. King & Sergio T. Rebelo, 2000. "Resuscitating Real Business Cycles," NBER Working Papers 7534, National Bureau of Economic Research, Inc.
  6. Mirta N. S. Bugarin, 2000. "Progressive Taxation and the Real Business Cycle," Econometric Society World Congress 2000 Contributed Papers 1897, Econometric Society.
  7. 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.
  8. 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.
  9. Jeffrey C. Fuhrer & C. Hoyt Bleakley, 1996. "Computationally efficient solution and maximum likelihood estimation of nonlinear rational expectation models," Working Papers 96-2, Federal Reserve Bank of Boston.
  10. 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.
  11. Sibel Sirakaya & Stephen Turnovsky & N.M. Alemdar, 2005. "Feedback Approximation of the Stochastic Growth Model by Genetic Neural Networks," Working Papers UWEC-2006-03-P, University of Washington, Department of Economics, revised Jul 2005.
  12. 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.
  13. Bayraktar, Nihal & Sakellaris, Plutarchos & Vermeulen, Philip, 2005. "Real versus financial frictions to capital investment," Working Paper Series 0566, European Central Bank.

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