Abstract
The standard neoclassical growth model with quasi-geometric discounting is shown elsewhere (Krusell, P. and Smith, A., CEPR Discussion Paper No. 2651, 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 a grid-based Euler-equation methods in the given context. We find that such a method converges 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.
Similar content being viewed by others
References
Harris, C. and Laibson, D. (2001). Dynamic choices of hyperbolic consumers. Econometrica, 69(4), 935–959.
Judd, K. (2004). Existence, uniqueness, and computational theory for time consistent equilibria: A hyperbolic discounting example, manuscript.
Krusell, P. and Smith, A. (2000). Consumption-Savings Decisions with Quasi-Geometric Discounting. CEPR Discussion Paper No. 2651.
Krusell, P. and Smith, A. (2003). Consumption-savings decisions with quasi-geometric discounting. Econometrica, 71, 365–375.
Krusell, P., Kuruşçu, B. and Smith, A. (2002). Equilibrium welfare and government policy with quasi-geometric discounting. Journal of Economic Theory, 42–72.
Laibson, D. (1997). Golden eggs and hyperbolic discounting. Quarterly Journal of Economics, 112(2), 443–477.
Maliar, L. and Maliar, S. (2003). Solving the Neoclassical Growth Model with Quasi-Geometric Discounting: Non-Linear Euler-Equation Methods. IVIE Working Paper #AD 2003-23.
Maliar, L. and Maliar, S. (in press). The neoclassical growth model with heterogeneous quasi-geometric consumers. Journal of Money, Credit, and Banking.
Tauchen, G. (1986). Finite state Markov chain approximations to univariate and vector autoregressions. Economic Letters, 20, 177–181.
Author information
Authors and Affiliations
Corresponding author
Additional information
JEL Classification: C73, D90, E21
Rights and permissions
About this article
Cite this article
Maliar, L., Maliar, S. Solving the Neoclassical Growth Model with Quasi-Geometric Discounting: A Grid-Based Euler-Equation Method. Comput Econ 26, 163–172 (2005). https://doi.org/10.1007/s10614-005-1732-y
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s10614-005-1732-y