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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2005 Volume 17, Number 2, Pages 119–125 (Mi mm161)

This article is cited in 2 papers

The stochastic dynamics of the shares $\textrm{ÐÀÎ ÅÝÑ}$ quotations

G. L. Buchbinder, K. M. Chistilin

Omsk State University

Abstract: It is shown that price changes of the shares $\textrm{ÐÀÎ ÅÝÑ}$ upon different delay times $\tau$ can be regarded as a stochastic Marcovian process. The evolution of the probability distributions is described by means of the Fokker–Plank equation. It is written in terms of a drift and a diffusion coefficients that are directly estimated from financial data. The drift and diffusion coefficients allow to separate the deterministic and noisy influence on a dynamic of the share quotations. It is also shown that for small $\tau$ the asymptotical behavior of the probability distributions is determined by power-law tail. In the case of large $\tau$ the prices change have Gaussian distribution.

Received: 08.06.2004



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