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Solving the incomplete markets model with aggregate uncertainty using the Krusell-Smith algorithm

  • Maliar, Lilia
  • Maliar, Serguei
  • Valli, Fernando

This paper studies the properties of the solution to the heterogeneous agents model in Den Haan et al. [2009. Computational suite of models with heterogeneous agents: incomplete markets and aggregate uncertainty. Journal of Economic Dynamics and Control, this issue]. To solve for the individual policy rules, we use an Euler-equation method iterating on a grid of pre-specified points. To compute the aggregate law of motion, we use the stochastic-simulation approach of Krusell and Smith [1998. Income and wealth heterogeneity in the macroeconomy. Journal of Political Economy 106, 868-896]. We also compare the stochastic- and non-stochastic-simulation versions of the Krusell-Smith algorithm, and we find that the two versions are similar in terms of their speed and accuracy.

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Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 34 (2010)
Issue (Month): 1 (January)
Pages: 42-49

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Handle: RePEc:eee:dyncon:v:34:y:2010:i:1:p:42-49
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  1. Lilia Maliar & Serguei Maliar, 2001. "Parametrized Expectations Algorithm And The Moving Bounds," Working Papers. Serie AD 2001-23, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  2. Den Haan, Wouter J., 1997. "Solving Dynamic Models With Aggregate Shocks And Heterogeneous Agents," Macroeconomic Dynamics, Cambridge University Press, vol. 1(02), pages 355-386, June.
  3. Maliar, Lilia & Maliar, Serguei, 2006. "The Neoclassical Growth Model with Heterogeneous Quasi-Geometric Consumers," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(3), pages 635-654, April.
  4. Yann Algan & Olivier Allais & Wouter J. Den Haan, 2006. "Solving heterogeneous-agent models with parameterized cross-sectional distributions," PSE Working Papers halshs-00589129, HAL.
  5. Lilia Maliar & Serguei Maliar, 2002. "The Representative Consumer In The Neoclassical Growth Model With Idiosyncratic Shocks," Working Papers. Serie AD 2002-20, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  6. Lawrence J. Christiano & Jonas D.M. Fisher, 1997. "Algorithms for Solving Dynamic Models with Occasionally Binding Constraints," NBER Technical Working Papers 0218, National Bureau of Economic Research, Inc.
  7. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, June.
  8. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
  9. den Haan, Wouter J & Marcet, Albert, 1990. "Solving the Stochastic Growth Model by Parameterizing Expectations," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 31-34, January.
  10. Baxter, Marianne & Crucini, Mario J & Rouwenhorst, K Geert, 1990. "Solving the Stochastic Growth Model by a Discrete-State-Space, Euler-Equation Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 19-21, January.
  11. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
  12. Lilia Maliar & Serguei Maliar, 2005. "Solving the Neoclassical Growth Model with Quasi-Geometric Discounting: A Grid-Based Euler-Equation Method," Computational Economics, Society for Computational Economics, vol. 26(2), pages 163-172, October.
  13. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
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