IDEAS home Printed from https://ideas.repec.org/p/arx/papers/cond-mat-0108017.html
   My bibliography  Save this paper

Financial Market Dynamics

Author

Listed:
  • Fredrick Michael
  • M. D. Johnson

Abstract

Distributions derived from non-extensive Tsallis statistics are closely connected with dynamics described by a nonlinear Fokker-Planck equation. The combination shows promise in describing stochastic processes with power-law distributions and superdiffusive dynamics. We investigate intra-day price changes in the S&P500 stock index within this framework by direct analysis and by simulation. We find that the power-law tails of the distributions, and the index's anomalously diffusing dynamics, are very accurately described by this approach. Our results show good agreement between market data, Fokker-Planck dynamics, and simulation. Thus the combination of the Tsallis non-extensive entropy and the nonlinear Fokker-Planck equation unites in a very natural way the power-law tails of the distributions and their superdiffusive dynamics.

Suggested Citation

  • Fredrick Michael & M. D. Johnson, 2001. "Financial Market Dynamics," Papers cond-mat/0108017, arXiv.org.
    • Handle: RePEc:arx:papers:cond-mat/0108017
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/cond-mat/0108017
    File Function: Latest version
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Devi, Sandhya, 2016. "Financial Market Dynamics: Superdiffusive or not?," MPRA Paper 73327, University Library of Munich, Germany, revised 24 Aug 2016.
    2. Gurdgiev, Constantin & Harte, Gerard, 2016. "Tsallis entropy: Do the market size and liquidity matter?," Finance Research Letters, Elsevier, vol. 17(C), pages 151-157.

    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:arx:papers:cond-mat/0108017. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.