期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 324, 期 1-2, 页码 317-322出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/S0378-4371(02)01868-X
关键词
Markov chain; mean field approximation; stock market
We study a multivariate Markov chain model as a stochastic model of the price changes of portfolios in the framework of the mean field approximation. The time series of price changes are coded into the sequences of up and down spins according to their signs. We start with the discussion for small portfolios consisting of two stock issues. The generalization of our model to arbitrary size of portfolio is constructed by a recurrence relation. The resultant form of the joint probability of the stationary state coincides with Gibbs measure assigned to each configuration of spin glass model. Through the analysis of actual portfolios, it has been shown that the synchronization of the direction of the price changes is well described by the model. (C) 2002 Elsevier Science B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据