Physics – Physics and Society
Scientific paper
2006-09-23
Physica A 381, 343-350 (2007)
Physics
Physics and Society
ll Elsart pages including 5 figures
Scientific paper
10.1016/j.physa.2007.03.015
The statistical properties of the multipliers of the absolute returns are investigated using one-minute high-frequency data of financial time series. The multiplier distribution is found to be independent of the box size $s$ when $s$ is larger than some crossover scale, providing direct evidence of the existence of scale invariance in financial data. The multipliers with base $a=2$ are well approximated by a normal distribution and the most probable multiplier scales as a power law in respect to the base $a$. We unravel that the volatility multipliers possess multifractal nature which is independent of construction of the multipliers, that is, the values of $s$ and $a$.
Jiang Zhi-Qiang
Zhou Wei-Xing
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