Dynamical stochastic processes of returns in financial markets

Gyuchang Lim, SooYong Kim, Seong-Min Yoon, Jae-Won Jung and Kyungsik Kim

Physica A: Statistical Mechanics and its Applications, 2007, vol. 376, issue C, 517-524

Abstract: We study the evolution of probability distribution functions of returns, from the tick data of the Korean treasury bond (KTB) futures and the S&P 500 stock index, which can be described by means of the Fokker–Planck equation. We show that the Fokker–Planck equation and the Langevin equation from the estimated Kramers–Moyal coefficients can be estimated directly from the empirical data. By analyzing the statistics of the returns, we present quantitatively the deterministic and random influences on financial time series for both markets, for which we can give a simple physical interpretation. We particularly focus on the diffusion coefficient, which may be important for the creation of a portfolio.

Keywords: Fokker–Planck equation; S&P 500 stock index; KTB (search for similar items in EconPapers)
Date: 2007
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Related works:
Working Paper: Dynamical Stochastic Processes of Returns in Financial Markets (2005)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:376:y:2007:i:c:p:517-524

DOI: 10.1016/j.physa.2006.10.051

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