IDEAS home Printed from https://ideas.repec.org/a/jns/jbstat/v220y2000i1p32-47.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/jbnst-2000-0104
    Download Restriction: no
    File URL: https://libkey.io/10.1515/jbnst-2000-0104?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-1248, September.
    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. 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.
    4. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
    5. Kocherlakota, Narayana R., 1990. "On the 'discount' factor in growth economies," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 43-47, January.
    6. 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.
    7. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Francisco (F.) Blasques & Marc Nientker, 2019. "Transformed Perturbation Solutions for Dynamic Stochastic General Equilibrium Models," Tinbergen Institute Discussion Papers 19-012/III, Tinbergen Institute, revised 09 Feb 2020.
    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. Ayse Imrohoroglu & Selahattin Imrohoroglu & Douglas H. Joines, 1994. "The effect of tax-favored retirement accounts on capital accumulation and welfare," Discussion Paper / Institute for Empirical Macroeconomics 92, Federal Reserve Bank of Minneapolis.
    4. Christophe Gouel, 2013. "Comparing Numerical Methods for Solving the Competitive Storage Model," Computational Economics, Springer;Society for Computational Economics, vol. 41(2), pages 267-295, February.
    5. Olivier Allais, 2004. "Local Substitution and Habit Persistence: Matching the Moments of the Equity Premium and the Risk-Free Rate," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(2), pages 265-296, April.
    6. Toke Ward Petersen, 2001. "The Optimal Level of Progressivity in the Labor Income Tax in a Model with Competitive Markets and Idiosyncratic Uncertainty," DREAM Working Paper Series 200104, Danish Rational Economic Agents Model, DREAM.
    7. Santos, Marcelo Rodrigues dos & Pereira, Thiago Neves, 2010. "Moving to a Consumption-Based Tax System: A Quantitative Assessment for Brazil," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 64(2), June.
    8. John Stachurski, 2009. "Economic Dynamics: Theory and Computation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012774, December.
    9. Kenneth L. Judd & Lilia Maliar & Serguei Maliar & Inna Tsener, 2017. "How to solve dynamic stochastic models computing expectations just once," Quantitative Economics, Econometric Society, vol. 8(3), pages 851-893, November.
    10. repec:hal:spmain:info:hdl:2441/8845 is not listed on IDEAS
    11. Posch, Olaf & Trimborn, Timo, 2013. "Numerical solution of dynamic equilibrium models under Poisson uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2602-2622.
    12. Kenneth L. Judd & Lilia Maliar & Serguei Maliar, 2014. "Lower Bounds on Approximation Errors: Testing the Hypothesis That a Numerical Solution Is Accurate?," BYU Macroeconomics and Computational Laboratory Working Paper Series 2014-06, Brigham Young University, Department of Economics, BYU Macroeconomics and Computational Laboratory.
    13. Hull, Isaiah, 2015. "Approximate dynamic programming with post-decision states as a solution method for dynamic economic models," Journal of Economic Dynamics and Control, Elsevier, vol. 55(C), pages 57-70.
    14. Aruoba, S. Boragan & Fernandez-Villaverde, Jesus & Rubio-Ramirez, Juan F., 2006. "Comparing solution methods for dynamic equilibrium economies," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2477-2508, December.
    15. Algan, Yann & Allais, Olivier & Den Haan, Wouter J., 2008. "Solving heterogeneous-agent models with parameterized cross-sectional distributions," Journal of Economic Dynamics and Control, Elsevier, vol. 32(3), pages 875-908, March.
    16. Werner, Maximilian, 2023. "Occasionally binding liquidity constraints and macroeconomic dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 150(C).
    17. repec:hal:wpspec:info:hdl:2441/8823 is not listed on IDEAS
    18. Julien Albertini & Stéphane Moyen, 2024. "A General and Efficient Method for Solving Regime-Switching DSGE Models," Computational Economics, Springer;Society for Computational Economics, vol. 64(6), pages 3645-3682, December.
    19. Serguei Maliar & John Taylor & Lilia Maliar, 2016. "The Impact of Alternative Transitions to Normalized Monetary Policy," 2016 Meeting Papers 794, Society for Economic Dynamics.
    20. José Cao-Alvira, 2010. "Finite Elements in the Presence of Occasionally Binding Constraints," Computational Economics, Springer;Society for Computational Economics, vol. 35(4), pages 355-370, April.
    21. Hans Fehr & Christian Habermann & Fabian Kindermann, 2008. "Social Security with Rational and Hyperbolic Consumers," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(4), pages 884-903, October.
    22. Almuth Scholl, 2009. "Aid Effectiveness and Limited Enforceable Conditionality," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(2), pages 377-391, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:jns:jbstat:v:220:y:2000:i:1:p:32-47. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.