IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

The Geometry of Crashes - A Measure of the Dynamics of Stock Market Crises

  • Tanya Ara\'{u}jo
  • Francisco Lou\c{c}\~{a}
Registered author(s):

    This paper investigates the dynamics of stocks in the S&P500 index for the last 30 years. Using a stochastic geometry technique, we investigate the evolution of the market space and define a new measure for that purpose, which is a robust index of the dynamics of the market structure and provides information on the intensity and the sectoral impact of the crises. With this measure, we analyze the effects of some extreme phenomena on the geometry of the market. Nine crashes between 1987 and 2001 are compared by looking at the way they modify the shape of the manifold that describes the S&P500 market space. These crises are identified as (a) structural, (b) general and (c) local.

    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://arxiv.org/pdf/physics/0506137
    File Function: Latest version
    Download Restriction: no

    Paper provided by arXiv.org in its series Papers with number physics/0506137.

    as
    in new window

    Length:
    Date of creation: Jun 2005
    Date of revision: Jul 2005
    Handle: RePEc:arx:papers:physics/0506137
    Contact details of provider: Web page: http://arxiv.org/

    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. G. Bonanno & G. Caldarelli & F. Lillo & S. Micciché & N. Vandewalle & R. Mantegna, 2004. "Networks of equities in financial markets," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 38(2), pages 363-371, 03.
    2. T. Di Matteo & T. Aste & R. N. Mantegna, 2004. "An interest rates cluster analysis," Papers cond-mat/0401443, arXiv.org.
    3. Matteo Marsili, 2002. "Dissecting financial markets: Sectors and states," Papers cond-mat/0207156, arXiv.org.
    4. Mendes, R.Vilela, 2001. "Structure-generating mechanisms in agent-based models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 537-561.
    5. Kullmann, L & Kertész, J & Mantegna, R.N, 2000. "Identification of clusters of companies in stock indices via Potts super-paramagnetic transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 412-419.
    6. Giovanni Bonanno & Fabrizio Lillo & Rosario N. Mantegna, 2000. "High-frequency Cross-correlation in a Set of Stocks," Papers cond-mat/0009350, arXiv.org, revised Nov 2000.
    7. Lillo, Fabrizio & Mantegna, Rosario N, 2004. "Dynamics of a financial market index after a crash," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(1), pages 125-134.
    8. Giovanni Bonanno & Fabrizio Lillo & Rosario N. Mantegna, 2001. "Levels of complexity in financial markets," Papers cond-mat/0104369, arXiv.org.
    9. Vilela Mendes, R. & Araújo, Tanya & Louçã, Francisco, 2003. "Reconstructing an economic space from a market metric," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 635-650.
    Full references (including those not matched with items on IDEAS)

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

    When requesting a correction, please mention this item's handle: RePEc:arx:papers:physics/0506137. 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: (arXiv administrators)

    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.

    This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.