Financial multifractality and its subtleties: an example of DAX

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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LaTeX 2.09 + RevTeX 3.1, 9 EPS figures

Scientific paper

10.1016/S0378-4371(02)01021-X

Detailed study of multifractal characteristics of the financial time series of asset values and of its returns is performed using a collection of the high frequency Deutsche Aktienindex data. The tail index ($\alpha$), the Renyi exponents based on the box counting algorithm for the graph ($d_q$) and the generalized Hurst exponents ($H_q$) are computed in parallel for short and daily return times. The results indicate a more complicated nature of the stock market dynamics than just consistent multifractal.

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