IDEAS home Printed from https://ideas.repec.org/p/fmg/fmgdps/dp53.html
   My bibliography  Save this paper

Conditions for Optimality in the Infinite-Horizon Portfolio-cum-Saving Problem with Semimartingale Investments

Author

Listed:
  • Lucien Foldes

Abstract

A model of optimal accumulation of capital and portfolio choice over an infinite horizon in continuous time is formulated in which the vector process representing returns to investments is a general semimartingale. Methods of stochastic calculus and calculus of variations are used to obtain necessary and sufficient conditions for optimality involving martingale properties of the ‘shadow price’ processes associated with alternative portfolio-cum-saving plans. The relationship between such conditions and ‘portfolio equations’ is investigated. The results are applied to special cases where the returns process has stationary independent increments and the utility function has the ‘discounted relative risk aversion’ form.

Suggested Citation

  • Lucien Foldes, 1989. "Conditions for Optimality in the Infinite-Horizon Portfolio-cum-Saving Problem with Semimartingale Investments," FMG Discussion Papers dp53, Financial Markets Group.
    • Handle: RePEc:fmg:fmgdps:dp53
    as

    Download full text from publisher

    File URL: http://www.lse.ac.uk/fmg/workingPapers/discussionPapers/fmgdps/DP53.pdf
    Download Restriction: no
    ---><---

    More about this item

    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:fmg:fmgdps:dp53. 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: The FMG Administration (email available below). General contact details of provider: http://www.lse.ac.uk/fmg/ .

    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.