Advanced Search
MyIDEAS: Login to save this paper or follow this series

Efficient Pricing of European-Style Options Under Heston's Stochastic Volatility Model

Contents:

Author Info

  • Zhylyevskyy, Oleksandr
Registered author(s):

    Abstract

    Heston's stochastic volatility model is frequently employed by finance researchers and practitioners. Fast pricing of European-style options in this setting has considerable practical significance. This paper derives a computationally efficient formula for the value of a European-style put under Heston's dynamics, by utilizing a transform approach based on inverting the characteristic function of the underlying stock's log-price and by exploiting the characteristic function's symmetry. The value of a European-style call is computed using a parity relationship. The required characteristic function is obtained as a special case of a more general solution derived in prior research. Computational advantage of the option value formula is illustrated numerically. The method can help to mitigate the time cost of algorithms that require repeated evaluation of European-style options under Heston's dynamics.

    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.scirp.org/journal/PaperDownload.aspx?paperID=17350&returnUrl=http%3a%2f%2fwww.scirp.org%2fJournal%2fHome.aspx%3fJournalID%3d666
    Download Restriction: no

    Bibliographic Info

    Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 34827.

    as in new window
    Length:
    Date of creation: 23 Feb 2012
    Date of revision:
    Publication status: Published in Theoretical Economics Letters, February 2012, vol. 2 no. 1, pp. 16-20
    Handle: RePEc:isu:genres:34827

    Contact details of provider:
    Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070
    Phone: +1 515.294.6741
    Fax: +1 515.294.0221
    Email:
    Web page: http://www.econ.iastate.edu
    More information through EDIRC

    Related research

    Keywords: characteristic function inversion; Heston's model; European-style option;

    Find related papers by JEL classification:

    This paper has been announced in the following NEP Reports:

    References

    References listed on IDEAS
    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
    as in new window
    1. Oleksandr Zhylyevskyy, 2010. "A fast Fourier transform technique for pricing American options under stochastic volatility," Review of Derivatives Research, Springer, vol. 13(1), pages 1-24, April.
    2. Darrell Duffie & Jun Pan & Kenneth Singleton, 1999. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," NBER Working Papers 7105, National Bureau of Economic Research, Inc.
    3. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
    4. Geske, Robert & Johnson, Herb E, 1984. " The American Put Option Valued Analytically," Journal of Finance, American Finance Association, vol. 39(5), pages 1511-24, December.
    Full references (including those not matched with items on IDEAS)

    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:isu:genres:34827. 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: (Stephanie Bridges) The email address of this maintainer does not seem to be valid anymore. Please ask Stephanie Bridges to update the entry or send us the correct address.

    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.