A stochastic cascade model for FX dynamics

Breymann, Wolfgang; Ghashghaie, Shoaleh; Talkner, Peter

doi:10.1142/S021902490000019X

Publication type:	Article in scientific journal
Type of review:	Peer review (publication)
Title:	A stochastic cascade model for FX dynamics
Authors:	Breymann, Wolfgang Ghashghaie, Shoaleh Talkner, Peter
DOI:	10.1142/S021902490000019X
Published in:	International Journal of Theoretical and Applied Finance
Volume(Issue):	3
Issue:	3
Page(s):	357
Pages to:	360
Issue Date:	2000
Publisher / Ed. Institution:	World Scientific Publishing
ISSN:	0219-0249 1793-6322
Language:	English
Subjects:	Hydrodynamic turbulence; Kolmogorov cascade; Heterogeneous market; Information flow; Volatility
Subject (DDC):	332: Financial economics
Abstract:	A time series model for the FX dynamics is presented which takes into account structural peculiarities of the market, namely its heterogeneity and an information flow from long to short time horizons. The model emerges from an analogy between FX dynamics and hydrodynamic turbulence. The heterogeneity of the market is modeled in the form of a multiplicative cascade of time scales ranging from several minutes to a few months, analogous to the Kolmogorov cascade in turbulence. The model reproduces well the important empirical characteristics of FX rates for major currencies, as the heavy-tailed distribution of returns, their change in shape with the increasing time interval, and the persistence of volatility.
URI:	https://digitalcollection.zhaw.ch/handle/11475/4674
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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Breymann, W., Ghashghaie, S., & Talkner, P. (2000). A stochastic cascade model for FX dynamics. International Journal of Theoretical and Applied Finance, 3(3), 357–360. https://doi.org/10.1142/S021902490000019X

Breymann, W., Ghashghaie, S. and Talkner, P. (2000) ‘A stochastic cascade model for FX dynamics’, International Journal of Theoretical and Applied Finance, 3(3), pp. 357–360. Available at: https://doi.org/10.1142/S021902490000019X.

W. Breymann, S. Ghashghaie, and P. Talkner, “A stochastic cascade model for FX dynamics,” International Journal of Theoretical and Applied Finance, vol. 3, no. 3, pp. 357–360, 2000, doi: 10.1142/S021902490000019X.

BREYMANN, Wolfgang, Shoaleh GHASHGHAIE und Peter TALKNER, 2000. A stochastic cascade model for FX dynamics. International Journal of Theoretical and Applied Finance. 2000. Bd. 3, Nr. 3, S. 357–360. DOI 10.1142/S021902490000019X

Breymann, Wolfgang, Shoaleh Ghashghaie, and Peter Talkner. 2000. “A Stochastic Cascade Model for FX Dynamics.” International Journal of Theoretical and Applied Finance 3 (3): 357–60. https://doi.org/10.1142/S021902490000019X.

Breymann, Wolfgang, et al. “A Stochastic Cascade Model for FX Dynamics.” International Journal of Theoretical and Applied Finance, vol. 3, no. 3, 2000, pp. 357–60, https://doi.org/10.1142/S021902490000019X.