IDEAS home Printed from
MyIDEAS: Log in (now much improved!) to save this paper

Continous Time Optimal Stochastic Growth: Local martingales, Transversality and Existence

Listed author(s):
  • Lucien Foldes


Registered author(s):

    This lengthy paper extends the author's work on optimal planning of consumption versus capital accumulation to stochastic versions of traditional continuous-time one­sector growth models. Risk is assumed to be exogenous but is otherwise specified in a very general form. An optimal plan is characterised by means of local martingale conditions for shadow prices and transversality conditions at infinity. The definitions of these conditions involve sequences of random stopping times, and various choices of these times which are of economic interest are considered. For example, assumptions are given which allow the stopping times to be chosen as clock times, so that the local martingale is a true martingale and the expected capital value tends to zero as clock time tends to infinity. The possibility of making random time changes so as to replace ­local by true martingale conditions for an optimum is also considered. Separately, conditions for the existence of an optimum are obtained.

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

    File URL:
    Download Restriction: no

    Paper provided by Financial Markets Group in its series FMG Discussion Papers with number dp479.

    in new window

    Date of creation: Feb 2004
    Handle: RePEc:fmg:fmgdps:dp479
    Contact details of provider: Web page:

    No references listed on IDEAS
    You can help add them by filling out this form.

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    When requesting a correction, please mention this item's handle: RePEc:fmg:fmgdps:dp479. 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: (The FMG Administration)

    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 references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link 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 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.

    This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.