Non-Gaussianity of the Intraday Returns Distribution: its evolution in time

Details Non-Gaussianity of the Intraday Returns Distribution: its evolution in time Non-Gaussianity of the Intraday Returns Distribution: its evolution in time

2011-12-04

arxiv.org/abs/1112.0770v2

Economy

Quantitative Finance

Statistical Finance

19 pages, 5 figures

Scientific paper

We find a remarkable time persistence of various proxies for the kurtosis (p-kurtosis) of the intraday returns distribution for the S&P500 index and this permits a significant measure of their evolution from 1983 to 2004. There appears a long time scale dramatic variation of the p-kurtosis uncorrelated with the variation of the volatility thus falsifying any hypothesis of a universal shape for the probability distribution of the returns. A large increase in the kurtosis anticipates the October 87 crash. During the years 1991-2003 it continuously decreases even when the volatility grows during the dot-com bubble. We propose some speculative interpretations of these results.

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