Scaling, self-similarity and multifractality in FX markets

Zhaoxia Xu and Ramazan Gencay

Physica A: Statistical Mechanics and its Applications, 2003, vol. 323, issue C, 578-590

Abstract: This paper presents an empirical investigation of scaling and multifractal properties of US Dollar–Deutschemark (USD–DEM) returns. The data set is ten years of 5-min returns. The cumulative return distributions of positive and negative tails at different time intervals are linear in the double logarithmic space. This presents strong evidence that the USD–DEM returns exhibit power-law scaling in the tails. To test the multifractal properties of USD–DEM returns, the mean moment of the absolute returns as a function of time intervals is plotted for different powers of absolute returns. These moments show different slopes for these powers of absolute returns. The nonlinearity of the scaling exponent indicates that the returns are multifractal.

Keywords: Scaling; Self-similarity; Multifractality; High-frequency data; Foreign exchange markets (search for similar items in EconPapers)
JEL-codes: C1 G0 G1 (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (35)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:323:y:2003:i:c:p:578-590

DOI: 10.1016/S0378-4371(03)00030-X

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