English

Multifractal nature of stock exchange prices

Condensed Matter 2009-11-07 v2

Abstract

The multifractal structure of the temporal dependence of the Deutsche Aktienindex (DAX) is analyzed. The qq-th order moments of the structure functions and the singular measures are calculated. The generalized Hurst exponent H(q)H(q) and the h(γ(q))h(\gamma(q)) curve indicate a hierarchy of power law exponents. This approach leads to characterizing the nonstationarity and intermittency pertinent to such financial signals, indicating differences with turbulence data. A list of results on turbulence and financial markets is presented for asserting the analogy.

Keywords

Cite

@article{arxiv.cond-mat/0108394,
  title  = {Multifractal nature of stock exchange prices},
  author = {M. Ausloos and K. Ivanova},
  journal= {arXiv preprint arXiv:cond-mat/0108394},
  year   = {2009}
}

Comments

6 pages, 3 figures; an invited talk at: Conference on Computational Physics 2001, Sept 5-8, Aachen, Germany