IDEAS home Printed from https://ideas.repec.org/p/sfi/sfiwpa/500038.html
   My bibliography  Save this paper

Option pricing in the presence of extreme fluctuations

Author

Listed:
  • Jean-Philippe Bouchaud

    (Science & Finance, Capital Fund Management
    CEA Saclay;)

  • Didier Sornette

    (UCLA
    Science & Finance, Capital Fund Management)

  • Marc Potters

    (Science & Finance, Capital Fund Management)

Abstract

We discuss recent evidence that B. Mandelbrot's proposal to model market fluctuations as a Lévy stable process is adequate for short enough time scales, crossing over to a Brownian walk for larger time scales. We show how the reasoning of Black and Scholes should be extended to price and hedge options in the presence of these `extreme' fluctuations. A comparison between theoretical and experimental option prices is also given.

Suggested Citation

  • Jean-Philippe Bouchaud & Didier Sornette & Marc Potters, 1997. "Option pricing in the presence of extreme fluctuations," Science & Finance (CFM) working paper archive 500038, Science & Finance, Capital Fund Management.
    • Handle: RePEc:sfi:sfiwpa:500038
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. A. Johansen & D. Sornette, 1997. "Stock market crashes are outliers," Papers cond-mat/9712005, arXiv.org, revised Dec 1997.
    2. Young Shin Kim & Kum-Hwan Roh & Raphael Douady, 2022. "Tempered stable processes with time-varying exponential tails," Quantitative Finance, Taylor & Francis Journals, vol. 22(3), pages 541-561, March.
    3. Harnos, A & Horváth, G & Lawrence, A.B & Vattay, G, 2000. "Scaling and intermittency in animal behaviour," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(1), pages 312-320.
    4. Jean-Philippe Bouchaud & Didier Sornette & Christian Walter & Jean-Pierre Aguilar, 1998. "Taming large events: portfolio selection for strongly fluctuating assets," Science & Finance (CFM) working paper archive 500044, Science & Finance, Capital Fund Management.

    More about this item

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:sfi:sfiwpa:500038. 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 person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/scfinfr.html .

    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.