Advanced Search
MyIDEAS: Login to save this article or follow this journal

Examination of selected improvement approaches to Monte Carlo simulation in option pricing

Contents:

Author Info

  • Tomáš Tichý
Registered author(s):

    Abstract

    In general, there exist many ways to detect the fair value of financial derivatives. However, each of them is suitable for different purposes. For example, when the payoff function is not very simple or the underlying process is too complex, the approach of Monte Carlo simulation can be useful. Unfortunately, the plain Monte Carlo simulation needs a very high number of independent paths to get reliable results. It is the reason why an improvement of the plain approach should be applied to decrease the number of paths required in order to get reliable results. In this paper we study more closely several such approaches and examine their potential of increasing the efficiency. To be more exact, we apply the antithetic variates method and stratified sampling approaches, including their combinations in order to get the fair price of a plain vanilla call. We consider three distinct underlying processes: geometric Brownian motion, variance gamma model and normal inverse Gaussian model. We also verify the confidence interval for the option price. We did not find any improvements of examined methods for complex processes considering the definition via two or more independent random numbers. However, if the required accuracy is very high, it might be useful to apply the stratification to the distribution function of the complex process.

    Download Info

    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: http://www.vse.cz/polek/download.php?jnl=polek&pdf=663.pdf
    Download Restriction: free of charge, full text delayed 1 year

    File URL: http://www.vse.cz/polek/abstrakt.php?IDcl=663
    Download Restriction: free of charge, full text delayed 1 year

    As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

    Bibliographic Info

    Article provided by University of Economics, Prague in its journal Politická ekonomie.

    Volume (Year): 2008 (2008)
    Issue (Month): 6 ()
    Pages: 772-794

    as in new window
    Handle: RePEc:prg:jnlpol:v:2008:y:2008:i:6:id:663:p:772-794

    Contact details of provider:
    Postal: nam. W. Churchilla 4, 130 67 Praha 3
    Phone: (02) 24 09 51 11
    Fax: (02) 24 22 06 57
    Web page: http://www.vse.cz/
    More information through EDIRC

    Order Information:
    Postal: Redakce Politické ekonomie, Vysoká škola ekonomická, nám. W. Churchilla 4, 130 67 Praha 3
    Email:
    Web: http://www.vse.cz/polek/

    Related research

    Keywords: options; Simulation Monte Carlo; variance reduction methods; option pricing; Black and Scholes model; Lévy process; variance gamma model; normal inverse Gaussian model; confidence interval;

    Find related papers by JEL classification:

    References

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

    Citations

    Lists

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

    Statistics

    Access and download statistics

    Corrections

    When requesting a correction, please mention this item's handle: RePEc:prg:jnlpol:v:2008:y:2008:i:6:id:663:p:772-794. 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: (Vaclav Subrta).

    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.