Power law relaxation in a complex system: Omori law after a financial market crash

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We study the relaxation dynamics of a financial market just after the occurrence of a crash by investigating the number of times the absolute value of an index return is exceeding a given threshold value. We show that the empirical observation of a power law evolution of the number of events exceeding the selected threshold (a behavior known as the Omori law in geophysics) is consistent with the simultaneous occurrence of (i) a return probability density function characterized by a power law asymptotic behavior and (ii) a power law relaxation decay of its typical scale. Our empirical observation cannot be explained within the framework of simple and widespread stochastic volatility models.
4 pages,4 figures, accepted in PRE

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Statistical Mechanics, Statistical Finance

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http://salesiana.dossiersoluciones.com/handle/123456789/208704

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0111257
 http://arxiv.org/abs/cond-mat/0111257

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arXiv