Multifractality in stock indexes: Fact or fiction?

Abstract

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.

14 elsart pages including 6 eps figures

References in corpus (15)

• Multifractal detrended fluctuation analysis of nonstationary time series
• Multifractal Properties of Price Fluctuations of Stocks and Commodities
• An optimal shell model of turbulence
• Apparent multifractality in financial time series
• Application of Multifractal Measures to Tehran Price Index
• Optimal Investment Horizons
• Multiscaling and Structure Functions in Turbulence: An Alternative Approach
• Scale invariant multiplier and multifractality of absolute returns in stock markets
• Financial multifractality and its subtleties: an example of DAX
• Generic Multifractality in Exponentials of Long Memory Processes
• Multifractality of Inverse Statistics of Exit Distances in 3D Fully Developed Turbulence
• Exit time of turbulent signals: a way to detect the intermediate dissipative range
• Multiplier phenomenology in random multiplicative cascade processes
• Inverse statistics in stock markets: Universality and idiosyncracy
• Explicit predictability and dispersion scaling exponents in fully developed turbulence

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