Patterns, Trends and Predictions in stock market indices and foreign currency exchange rates

dc.creatorAusloos, M.
dc.creatorIvanova, K.
dc.date2001-08-01
dc.date.accessioned2026-07-07T02:42:19Z
dc.date.available2026-07-07T02:42:19Z
dc.descriptionSpecialized topics on financial data analysis from a numerical and physical point of view are discussed. They pertain to the analysis of crash prediction in stock market indices and to the persistence or not of coherent and random sequences in fluctuations of foreign exchange currency rates. A brief historical introduction to crashes is given, including recent observations on the DJIA and the S&P500. Daily data of the DAX index are specifically used for illustration. The method for visualizing the pattern thought to be the precursor signature of financial crashes is outlined. The log-periodicity of the pattern is investigated. Comparison of patterns before and after crash days is made through the power spectrum. The corresponding fractal dimension of the signal looks like that of a percolation backbone. Next the fluctuations of exchange rates (XR) of currencies forming $EUR$ with respect to $USD$ are analyzed. The XR power spectra are calculated before and after crashes. A detrended fluctuation analysis is performed. The characteristic exponents $β$ and $α$ respectively, are compared, including the time dependence of each $α$, found to be singular near crash dates.
dc.description22 pages, 11 figures; to appear in: New Vistas in Statistical Physics -- Applications in Econophysics, Bioinformatics, and Pattern Recognition, Delray Beach, Florida, USA, May 9-12, 2001, Proceedings, L.T. Wille. Ed. (Springer Verlag, Berlin, 2002)
dc.identifierhttps://arxiv.org/abs/cond-mat/0108013
dc.identifierhttp://arxiv.org/abs/cond-mat/0108013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18093
dc.subjectCondensed Matter
dc.titlePatterns, Trends and Predictions in stock market indices and foreign currency exchange rates
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