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The volatility in a multi-share financial market model

Author

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  • A. Ponzi

    (Department of Physics, Trinity College, Dublin, Ireland and Hibernian Investment Management, Dublin, Ireland)

Abstract

Single index financial market models cannot account for the empirically observed complex interactions between shares in a market. We describe a multi-share financial market model and compare characteristics of the volatility, that is the variance of the price fluctuations, with empirical characteristics. In particular we find its probability distribution is similar to a log normal distribution but with a long power-law tail for the large fluctuations, and that the time development shows superdiffusion. Both these results are in good quantitative agreement with observations.

Suggested Citation

  • A. Ponzi, 2001. "The volatility in a multi-share financial market model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 20(4), pages 565-568, April.
    • Handle: RePEc:spr:eurphb:v:20:y:2001:i:4:d:10.1007_s100510170241
    DOI: 10.1007/s100510170241
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