Multifractality in stock indexes: Fact or fiction?

Details Multifractality in stock indexes: Fact or fiction? Multifractality in stock indexes: Fact or fiction?

2007-06-14

arxiv.org/abs/0706.2140v1

Physica A 387 (14), 3605-3614 (2008).

Economy

Quantitative Finance

Statistical Finance

14 elsart pages including 6 eps figures

Scientific paper

10.1016/j.physa.2008.02.015

Multifractal analysis and extensive statistical tests are performed upon intraday minutely data within individual trading days for four stock market indexes (including HSI, SZSC, S&P500, and NASDAQ) to check whether the indexes (instead of the returns) possess multifractality. We find that the mass exponent $\tau(q)$ is linear and the singularity $\alpha(q)$ is close to 1 for all trading days and all indexes. Furthermore, we find strong evidence showing that the scaling behaviors of the original data sets cannot be distinguished from those of the shuffled time series. Hence, the so-called multifractality in the intraday stock market indexes is merely an illusion.

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