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Solving The Neoclassical Growth Model With Quasi-Geometric Discounting: Non-Linear Euler-Equation Models

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Author Info

  • Lilia Maliar

    ()
    (Universidad de Alicante)

  • Serguei Maliar

    (Universidad de Alicante)

Abstract

The neoclassical growth model with quasi-geometric discounting is shown by Krusell and Smith (2000) to have multiple solutions. As a result, value-iterative methods fail to converge. The set of equilibria is however reduced if we restrict our attention to the interior (satisfying the Euler equation) solution. We study the performance of the grid-based and the simulation-based Euler-equation methods in the given context. We find that both methods converge to an interior solution in a wide range of parameter values, not only in the ''test'' model with the closed-form solution but also in more general settings, including those with uncertainty.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2003-23.pdf
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Bibliographic Info

Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 2003-23.

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Length: 26 pages
Date of creation: Jul 2003
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:2003-23

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Related research

Keywords: quasi-geometric (hyperbolic) discounting; time-inconsistency;

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References

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  1. Harris, Christopher & Laibson, David, 2001. "Dynamic Choices of Hyperbolic Consumers," Econometrica, Econometric Society, vol. 69(4), pages 935-57, July.
  2. Krusell, Per & Smith Jr., Anthony A, 2001. "Consumption-Savings Decisions with Quasi-Geometric Discounting," CEPR Discussion Papers 2651, C.E.P.R. Discussion Papers.
  3. Laibson, David, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 443-77, May.
  4. David I. Laibson & Andrea Repetto & Jeremy Tobacman, 1998. "Self-Control and Saving for Retirement," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 29(1), pages 91-196.
  5. Per Krusell & Burhanettin Kuruscu & Anthony A. Smith Jr., 2001. "Equilibrium Welfare and Government Policy with Quasi-Geometric Discounting," Temi di discussione (Economic working papers) 413, Bank of Italy, Economic Research and International Relations Area.
  6. Robert J. Barro, 1999. "Ramsey Meets Laibson In The Neoclassical Growth Model," The Quarterly Journal of Economics, MIT Press, vol. 114(4), pages 1125-1152, November.
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Citations

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Cited by:
  1. Lilia Maliar & Serguei Maliar, 2003. "Indeterminacy In A Log-Linearized Neoclassical Rowth Model With Quasi-Geometric Discounting," Working Papers. Serie AD 2003-13, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  2. Lilia Maliar & Serguei Maliar, 2003. "The Neoclassical Growth Model With Heterogenous Quasi-Geometric Consumers," Working Papers. Serie AD 2003-25, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  3. Lilia Maliar & Serguei Maliar, 2003. "Heterogeneity In The Degree Of Quasi-Geometric Discounting: The Distributional Implications," Working Papers. Serie AD 2003-28, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  4. 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.

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