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On the Use of Projection Methods in the Computation of OLG Models / Zur Berechnung von OLG-Modellen mit Hilfe von Projektionsmethoden

Author

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  • Heer Burkhard

    (Universität zu Köln, Staatswissenschaftliches Seminar, Albertus-Magnus Platz, D-50923 Köln. Tel.: 0221/4 70-43 54, Fax: 0221/4 70-5068)

  • Trede Mark

    (Universität zu Köln, Seminar für Wirtschafts- und Sozialstatistik, Albertus- Magnus Platz, D-50923 Köln. Tel.: 0221/4 70-22 83)

Abstract

We compare projection methods with the standard value function grid algorithm in order to solve overlapping generations models. We apply the methods to a particular 60-period OLG model with elastic labor supply in order to study the effects of unfunded public pensions on aggregate savings and employment. For given accuracy, projection methods are found to dominate standard value function grid methods in terms of speed and required storage capacity. Furthermore, we apply projection methods to problems characterized by a multi-dimensional state space. Our results suggest that such more complex problems are also solvable with the help of ordinary personal computers using projection methods, while the use of value function grid methods may require excessive computer time and storage capacity with regard to current PC technology.

Suggested Citation

  • Heer Burkhard & Trede Mark, 2000. "On the Use of Projection Methods in the Computation of OLG Models / Zur Berechnung von OLG-Modellen mit Hilfe von Projektionsmethoden," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 220(1), pages 32-47, February.
    • Handle: RePEc:jns:jbstat:v:220:y:2000:i:1:p:32-47
    DOI: 10.1515/jbnst-2000-0104
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    References listed on IDEAS

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    1. James Heckman & Lance Lochner & Christopher Taber, 1998. "Explaining Rising Wage Inequality: Explanations With A Dynamic General Equilibrium Model of Labor Earnings With Heterogeneous Agents," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(1), pages 1-58, January.
    2. Christiano, Lawrence J. & Fisher, Jonas D. M., 2000. "Algorithms for solving dynamic models with occasionally binding constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 24(8), pages 1179-1232, July.
    3. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
    4. Kocherlakota, Narayana R., 1990. "On the 'discount' factor in growth economies," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 43-47, January.
    5. Evans, Owen J, 1983. "Tax Policy, the Interest Elasticity of Saving, and Capital Accumulation: Numerical Analysis of Theoretical Models," American Economic Review, American Economic Association, vol. 73(3), pages 398-410, June.
    6. Hartley, Peter R., 1996. "Value function approximation in the presence of uncertainty and inequality constraints an application to the demand for credit cards," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 63-92.
    7. Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-1248, September.
    8. Imrohoroglu, Ayse & Imrohoroglu, Selahattin & Joines, Douglas H, 1995. "A Life Cycle Analysis of Social Security," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(1), pages 83-114, June.
    9. Hubbard, R Glenn & Judd, Kenneth L, 1987. "Social Security and Individual Welfare: Precautionary Saving, Borrowing Constraints, and the Payroll Tax," American Economic Review, American Economic Association, vol. 77(4), pages 630-646, September.
    10. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
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