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Scaling, self-similarity and multifractality in FX markets

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  • Xu, Zhaoxia
  • Gençay, Ramazan

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.

Suggested Citation

  • Xu, Zhaoxia & Gençay, Ramazan, 2003. "Scaling, self-similarity and multifractality in FX markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 578-590.
    • Handle: RePEc:eee:phsmap:v:323:y:2003:i:c:p:578-590
    DOI: 10.1016/S0378-4371(03)00030-X
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    References listed on IDEAS

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    More about this item

    Keywords

    Scaling; Self-similarity; Multifractality; High-frequency data; Foreign exchange markets;
    All these keywords.

    JEL classification:

    • G0 - Financial Economics - - General
    • G1 - Financial Economics - - General Financial Markets
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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