IDEAS home Printed from https://ideas.repec.org/p/hhs/nhhfms/2004_005.html
   My bibliography  Save this paper

Negative volatility and the Survival of Western Financial Markets

Author

Listed:
  • Aase, Knut K.

    () (Dept. of Finance and Management Science, Norwegian School of Economics and Business Administration)

Abstract

The paper discusses situations where certain parameters are given values that are outside their natural ranges. One case is obtained when plugging in a negative value for the volatility parameter in the Black and Scholes formula. This leads to seemingly "new" results. A different setting is considered related to the developments in time of biological populations. Here deterministic models lead to chaotically fluctuating population sizes, which came as a surprise to workers with population data. It is argued that the origins for the seemingly new and original results may be related.

Suggested Citation

  • Aase, Knut K., 2004. "Negative volatility and the Survival of Western Financial Markets," Discussion Papers 2004/5, Norwegian School of Economics, Department of Business and Management Science.
  • Handle: RePEc:hhs:nhhfms:2004_005
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/11250/163578
    Download Restriction: no

    References listed on IDEAS

    as
    1. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters,in: Theory Of Valuation, chapter 8, pages 229-288 World Scientific Publishing Co. Pte. Ltd..
    2. 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 637-654, May-June.
    3. Knut K. Aase, 2002. "Equilibrium Pricing in the Presence of Cumulative Dividends Following a Diffusion," Mathematical Finance, Wiley Blackwell, vol. 12(3), pages 173-198.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    The Black and Scholes Model; negative volatility; population models; chaotic fluctuations; bifurcation;

    JEL classification:

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

    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:hhs:nhhfms:2004_005. 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: (Stein Fossen). General contact details of provider: http://edirc.repec.org/data/dfnhhno.html .

    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 CitEc recognized a reference but did not link an item in RePEc 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 RePEc Author Service 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.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.