Black-Scholes model under subordination
AbstractIn this paper we consider a new mathematical extension of the Black-Scholes model in which the stochastic time and stock share price evolution is described by two independent random processes. The parent process is Brownian, and the directing process is inverse to the totally skewed, strictly \alpha-stable process. The subordinated process represents the Brownian motion indexed by an independent, continuous and increasing process. This allows us to introduce the long-term memory effects in the classical Black-Scholes model.
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1111.3263.
Date of creation: Nov 2011
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Publication status: Published in Physica A 318, 469(2003)
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Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-11-21 (All new papers)
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