IDEAS home Printed from
   My bibliography  Save this article

Pension fund state estimation and optimal investment strategy


  • Marek Lešek
  • Miroslav Šimandl


A design and utilization of a mathematical model of the contribution defined pension fund is treated. The mathematical model respects the specific character and economical rules of supplementary pension system in the Czech Republic. The state of the new mathematical model is partly immeasurable. The immeasurable part of the state is estimated by the extended Kalman filter. This paper also analyzes the financial risk in the contribution defined pension fund in the Czech Republic. The Bellman's optimality principle is used to derive the best allocation of a pension fund asset in the two-assets world. Principal results concern suitability of the optimal pension fund strategy and large variability of the level of achievement in the pension fund assets in the case of variable rates of assets return. The designed estimator and the best allocation of a pension fund asset are illustrated with real data from a pension fund.

Suggested Citation

  • Marek Lešek & Miroslav Šimandl, 2005. "Pension fund state estimation and optimal investment strategy," Bulletin of the Czech Econometric Society, The Czech Econometric Society, vol. 12(22).
  • Handle: RePEc:czx:journl:v:12:y:2005:i:22:id:141

    Download full text from publisher

    File URL:
    Download Restriction: no

    More about this item


    pension funds; mathematical model; state estimation; extended Kalman filter; Bellman's optimality principle;

    JEL classification:

    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors


    Access and download statistics


    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:czx:journl:v:12:y:2005:i:22:id:141. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Jozef Barunik). General contact details of provider: .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.