[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/fip/fedmem/107.html
   My bibliography  Save this paper

Accuracy estimates for a numerical approach to stochastic growth models

Author

Listed:
  • Manuel S. Santos
  • Jesus Vigo
Abstract
In this paper we develop a discretized version of the dynamic programming algorithm and derive error bounds for the approximate value and policy functions. We show that under the proposed scheme the computed value function converges quadratically to the true value function and the computed policy function converges linearly, as the mesh size of the discretization converges to zero. Moreover, the constants involved in these orders of convergence can be computed in terms of primitive data of the model. We also discuss several aspects of the implementation of our methods, and present numerical results for some commonly studied macroeconomic models.

Suggested Citation

  • Manuel S. Santos & Jesus Vigo, 1995. "Accuracy estimates for a numerical approach to stochastic growth models," Discussion Paper / Institute for Empirical Macroeconomics 107, Federal Reserve Bank of Minneapolis.
    • Handle: RePEc:fip:fedmem:107
    as

    Download full text from publisher

    File URL: http://minneapolisfed.org/research/common/pub_detail.cfm?pb_autonum_id=105
    Download Restriction: no
    File URL: http://minneapolisfed.org/research/DP/DP107.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Grüne, Lars & Semmler, Willi & Stieler, Marleen, 2015. "Using nonlinear model predictive control for dynamic decision problems in economics," Journal of Economic Dynamics and Control, Elsevier, vol. 60(C), pages 112-133.
    2. Grune, Lars & Semmler, Willi, 2004. "Using dynamic programming with adaptive grid scheme for optimal control problems in economics," Journal of Economic Dynamics and Control, Elsevier, vol. 28(12), pages 2427-2456, December.
    3. Haupt, Harry & Schnurbus, Joachim & Semmler, Willi, 2018. "Estimation of grouped, time-varying convergence in economic growth," Econometrics and Statistics, Elsevier, vol. 8(C), pages 141-158.
    4. Ihrig, Jane, 2000. "Multinationals' response to repatriation restrictions," Journal of Economic Dynamics and Control, Elsevier, vol. 24(9), pages 1345-1379, August.

    More about this item

    Keywords

    Economic development;

    Statistics

    Access and download statistics

    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:fip:fedmem:107. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Jannelle Ruswick (email available below). General contact details of provider: https://edirc.repec.org/data/cfrbmus.html .

    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.