Long-range power-law correlations in stock returns

This study investigates long-range power-law correlations in US, UK, Japanese, German, French and Spanish stock markets using daily data and applying a recently developed residual analysis termed detrended fluctuation analysis (DFA). We quantify correlations for the returns, absolute value of returns and square of returns. The results show that there is little evidence of long-range correlations in returns but there is strong evidence of long-range correlation in absolute and squared returns. For the absolute returns, a cross-over of approximately 41 days is found.

[1]  C. Granger,et al.  A long memory property of stock market returns and a new model , 1993 .

[2]  H E Stanley,et al.  Deviations from uniform power law scaling in nonstationary time series. , 1997, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[3]  J. Geweke,et al.  THE ESTIMATION AND APPLICATION OF LONG MEMORY TIME SERIES MODELS , 1983 .

[4]  Thomas Lux,et al.  Long-term stochastic dependence in financial prices: evidence from the German stock market , 1996 .

[5]  Fred R. Kaen,et al.  R/S analysis of foreign exchange rates under two international monetary regimes , 1982 .

[6]  H. Stanley,et al.  Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. , 1995, Chaos.

[7]  William N. Goetzmann,et al.  Patterns in Three Centuries of Stock Market Prices , 1993 .

[8]  Edgar E. Peters.  Fractal Market Analysis: Applying Chaos Theory to Investment and Economics , 1994 .

[9]  P. Cizeau,et al.  Volatility distribution in the S&P500 stock index , 1997, cond-mat/9708143.

[10]  P. Cizeau,et al.  CORRELATIONS IN ECONOMIC TIME SERIES , 1997, cond-mat/9706021.

[11]  C. Granger,et al.  AN INTRODUCTION TO LONG‐MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCING , 1980 .

[12]  C. Granger,et al.  Some Properties of Absolute Return, An Alternative Measure of Risk , 1995 .

[13]  Robert Rosenman,et al.  Predictable Behavior in Financial Markets: Some Evidence in Support ofHeiner's Hypothesis , 1986 .

[14]  C. Peng,et al.  Mosaic organization of DNA nucleotides. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[15]  P. Cizeau,et al.  Statistical properties of the volatility of price fluctuations. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.