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Title: Scaling and data collapse for the mean exit time of asset prices
Author: Montero Torralbo, Miquel
Perelló, Josep, 1974-
Masoliver, Jaume, 1951-
Lillo, Fabrizio
Miccichè, Salvatore
Mantegna, Rosario N.
Keywords: Física
Física matemàtica
Sistemes no lineals
Mathematical physics
Nonlinear systems
Issue Date: 2005
Publisher: The American Physical Society
Abstract: We study theoretical and empirical aspects of the mean exit time (MET) of financial time series. The theoretical modeling is done within the framework of continuous time random walk. We empirically verify that the mean exit time follows a quadratic scaling law and it has associated a prefactor which is specific to the analyzed stock. We perform a series of statistical tests to determine which kind of correlation are responsible for this specificity. The main contribution is associated with the autocorrelation property of stock returns. We introduce and solve analytically both two-state and three-state Markov chain models. The analytical results obtained with the two-state Markov chain model allows us to obtain a data collapse of the 20 measured MET profiles in a single master curve.
Note: Reproducció del document publicat a:
It is part of: Physical Review E, 2005, vol. 72, núm. 5, p. 056101-1-056101-10
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ISSN: 1539-3755
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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