Small scale behavior of financial data

Details Small scale behavior of financial data Small scale behavior of financial data

2005-09-30

arxiv.org/abs/physics/0509257v2

Physics

Data Analysis, Statistics and Probability

4 pages, 6 figures Calculations for the turbulence data sets were redone using the log return as the increment definition in o

Scientific paper

10.1140/epjb/e2006-00120-3

A new approach is presented to describe the change in the statistics of the log return distribution of financial data as a function of the timescale. To this purpose a measure is introduced, which quantifies the distance of a considered distribution to a reference distribution. The existence of a small timescale regime is demonstrated, which exhibits different properties compared to the normal timescale regime. This regime seems to be universal for individual stocks. It is shown that the existence of this small timescale regime is not dependent on the special choice of the distance measure or the reference distribution. These findings have important implications for risk analysis, in particular for the probability of extreme events.

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