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This is the price assigned by the market on the basis of factors such as the historical performance and future expectations for the growth of a stock
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This is the price assigned by the market on the basis of factors such as the historical performance and future expectations for the growth of a stock.
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6
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28444436475
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note
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In this paper, we assign the term "event" to describe a (finite) movement in the return at any time. It is assumed that the distribution of returns at a time t (due to many successive events) can be approximated by a probability density function defined on a continuum. These conventions follow the treatment of Ref. [3].
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An empirical model of volatility of retuns and options pricing
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to appear
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J. L. McCauley and G. H. Gunaratne, "An Empirical Model of Volatility of Retuns and Options Pricing," to appear in Physica A (2003).
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A. Arneodo, J.-P. Bouchaud, R. Cont, J.-F. Muzy, M. Potters, and D. Sornette, cond-mat/9607120 at lanl.arXiv.org
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A. Arneodo, J.-P. Bouchaud, R. Cont, J.-F. Muzy, M. Potters, and D. Sornette, cond-mat/9607120 at lanl.arXiv.org.
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26
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28444485528
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note
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Possibilities that include anomalous diffusion have been considered in, for example, Refs. [10] and [18].
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27
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0032777343
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Fokker-Planck equations with variable R and D have been used previously to describe dynamics of financial markets, see for example S. Maslov and Y.-C. Zhang, Physica A, 262, 232 (1999)
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28444491636
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L. Ramusson and E. Aurell, cs.NI.0102011 at arXiv. Non-linear Fokker-Planck equations have also been proposed, see Ref. [13]
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and L. Ramusson and E. Aurell, cs.NI.0102011 at arXiv. Non-linear Fokker-Planck equations have also been proposed, see Ref. [13].
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29
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28444493211
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note
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0; the process is a Martingale.
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30
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