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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2011 Number 2(14), Pages 38–44 (Mi vtgu188)

MATHEMATICS

Stochastic model of dynamic relative increments stock price

P. V. Tryasuchev

Tomsk Polytechnic University

Abstract: In this paper, the process of relative increment of stock price is considered. The process is described using the generalized Ito equation. Stochastic dynamics was described with Lukoil stock prices during the period of 18.04.2008 up to 17.04.2009, with intervals $\Delta\tau=1$ min, $5$ min, $10$ min, $15$ min, $30$ min, and $60$ min.

Keywords: stochastic process, drift, volatility, relative increments, Wiener process, Markov process.

UDC: 519.23

Received: 01.12.2010



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