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Phys. Rev. Lett. 84, 5224–5227 (2000)

How to Quantify Deterministic and Random Influences on the Statistics of the Foreign Exchange Market

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R. Friedrich
Institute für Theoretische Physik, Universität Stuttgart, D-70550 Stuttgart, Germany

J. Peinke and Ch. Renner
Fachbereich 8 Physik, Universität Oldenburg, D-26111 Oldenburg, Germany

Received 19 January 1999; revised 16 November 1999; published in the issue dated 29 May 2000

It is shown that price changes of the U.S. dollar–German mark exchange rates upon different delay times can be regarded as a stochastic Marcovian process. Furthermore, we show how Kramers-Moyal coefficients can be estimated from the empirical data. Finally, we present an explicit Fokker-Planck equation which models very precisely the empirical probability distributions, in particular, their non-Gaussian heavy tails.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.5224
DOI:
10.1103/PhysRevLett.84.5224
PACS:
02.50.Le, 05.40.-a, 47.27.Ak, 87.23.Ge