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

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

Author Info

Lilia Maliar () (Universidad de Alicante)
Serguei Maliar (Universidad de Alicante)

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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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Publisher 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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Find related papers by JEL classification:
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
D90 - Microeconomics - - Intertemporal Choice and Growth - - - General
E21 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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Krusell, Per & Kuruscu, Burhanettin & Smith Jr., Anthony A, 2001. "Equilibrium Welfare and Government Policy with Quasi-Geometric Discounting," CEPR Discussion Papers 2693, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
Other versions:
- Per Krusell & Burhanettin Kuruscu & Anthony A. Smtih, Jr., . "Equilibrium Welfare and Government Policy with Quasi-Geometric Discounting," GSIA Working Papers 2001-06, Carnegie Mellon University, Tepper School of Business.
- 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 Department. [Downloadable!]
- Krusell, Per & Kuruscu, Burhanettin & Smith, Anthony Jr., 2002. "Equilibrium Welfare and Government Policy with Quasi-geometric Discounting," Journal of Economic Theory, Elsevier, vol. 105(1), pages 42-72, July. [Downloadable!] (restricted)
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. [Downloadable!] (restricted)
Laibson, David, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 443-77, May.
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(1998-1), pages 91-196. [Downloadable!]
Krusell, Per & Smith Jr., Anthony A, 2001. "Consumption-Savings Decisions with Quasi-Geometric Discounting," CEPR Discussion Papers 2651, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
Other versions:
- Per Krusell & Anthony A Smith, Jr., 2001. "Consumption Savings Decisions with Quasi-Geometric Discounting," NajEcon Working Paper Reviews 625018000000000251, www.najecon.org. [Downloadable!]
- Per Krusell & Anthony A. Smith, Jr., . "Consumption-Savings Decisions with Quasi-Geometric Discounting," GSIA Working Papers 2001-05, Carnegie Mellon University, Tepper School of Business.
- Per Krusell & Anthony A. Smith, Jr., 2003. "Consumption--Savings Decisions with Quasi--Geometric Discounting," Econometrica, Econometric Society, vol. 71(1), pages 365-375, January. [Downloadable!] (restricted)
Harris, Christopher & Laibson, David, 2001. "Dynamic Choices of Hyperbolic Consumers," Econometrica, Econometric Society, vol. 69(4), pages 935-57, July.
Other versions:
- Christopher Harris & David Laibson, 1999. "Dynamic Choices of Hyperbolic Consumers," Harvard Institute of Economic Research Working Papers 1886, Harvard - Institute of Economic Research.

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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

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). [Downloadable!]
Other versions:
- Maliar, Lilia & Maliar, Serguei, 2006. "Indeterminacy in a log-linearized neoclassical growth model with quasi-geometric discounting," Economic Modelling, Elsevier, vol. 23(3), pages 492-505, May. [Downloadable!] (restricted)
Lilia Maliar & Serguei Maliar, 2005. "Solving the Neoclassical Growth Model with Quasi-Geometric Discounting: A Grid-Based Euler-Equation Method," Computational Economics, Springer, vol. 26(2), pages 163-172, October. [Downloadable!] (restricted)
Other versions:
- Lilia Maliar & Serguei Maliar, 2005. "Matlab for "Parameterized Expectations Algorithm: How to Solve for Labor Easily"," QM&RBC Codes 147, Quantitative Macroeconomics & Real Business Cycles. [Downloadable!]
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). [Downloadable!]
Other versions:
- 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. [Downloadable!] (restricted)
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). [Downloadable!]

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