Publication type: Article in scientific journal
Type of review: Peer review (publication)
Title: Turbulent cascades in foreign exchange markets
Authors: Ghashghaie, Shoaleh
Breymann, Wolfgang
Peinke, Joachim
Talkner, Peter
Dodge, Yadolah
DOI: 10.1038/381767a0
Published in: Nature
Volume(Issue): 381
Issue: 6585
Page(s): 767
Pages to: 770
Issue Date: 1996
Publisher / Ed. Institution: Nature Publishing Group
ISSN: 0028-0836
Language: English
Subject (DDC): 332: Financial economics
Abstract: The availability of high-frequency data for financial markets has made it possible to study market dynamics on timescales of less than a day. For foreign exchange (FX) rates Müller et al. have shown that there is a net flow of information from long to short timescales: the behaviour of long-term traders (who watch the markets only from time to time) influences the behaviour of short-term traders (who watch the markets continuously). Motivated by this hierarchical feature, we have studied FX market dynamics in more detail, and report here an analogy between these dynamics and hydrodynamic turbulence. Specifically, the relationship between the probability density of FX price changes (δx) and the time delay (δt) is much the same as the relationship between the probability density of the velocity differences (δv) of two points in a turbulent flow and their spatial separation δr. Guided by this similarity we claim that there is an information cascade in FX market dynamics that corresponds to the energy cascade in hydrodynamic turbulence. On the basis of this analogy we can now rationalize the statistics of FX price differences at different time delays, which is important for, for example, option pricing. The analogy also provides a conceptual framework for understanding the short-term dynamics of speculative markets.
Fulltext version: Published version
License (according to publishing contract): Licence according to publishing contract
Departement: School of Engineering
Organisational Unit: Institute of Data Analysis and Process Design (IDP)
Appears in collections:Publikationen School of Engineering

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Ghashghaie, S., Breymann, W., Peinke, J., Talkner, P., & Dodge, Y. (1996). Turbulent cascades in foreign exchange markets. Nature, 381(6585), 767–770.
Ghashghaie, S. et al. (1996) ‘Turbulent cascades in foreign exchange markets’, Nature, 381(6585), pp. 767–770. Available at:
S. Ghashghaie, W. Breymann, J. Peinke, P. Talkner, and Y. Dodge, “Turbulent cascades in foreign exchange markets,” Nature, vol. 381, no. 6585, pp. 767–770, 1996, doi: 10.1038/381767a0.
GHASHGHAIE, Shoaleh, Wolfgang BREYMANN, Joachim PEINKE, Peter TALKNER und Yadolah DODGE, 1996. Turbulent cascades in foreign exchange markets. Nature. 1996. Bd. 381, Nr. 6585, S. 767–770. DOI 10.1038/381767a0
Ghashghaie, Shoaleh, Wolfgang Breymann, Joachim Peinke, Peter Talkner, and Yadolah Dodge. 1996. “Turbulent Cascades in Foreign Exchange Markets.” Nature 381 (6585): 767–70.
Ghashghaie, Shoaleh, et al. “Turbulent Cascades in Foreign Exchange Markets.” Nature, vol. 381, no. 6585, 1996, pp. 767–70,

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