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arXiv 1003.5984q-fin.ST
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新兴市场股票收益率的非普适分布

Nonuniversal distributions of stock returns in an emerging market

Guo-Hua Mu, Wei-Xing Zhou

摘要:

有充分的证据表明,成熟市场股票收益率的概率分布呈现幂律尾,正尾和负尾都符合逆三次律。它支持的可能性,尾部指数是普遍的,至少在这个意义上,他们不依赖于股票市场,行业部门,和市价总值的成熟市场。本文以中国股票市场为研究对象,研究了中国股票市场A股的一分钟内收益率分布。我们发现收益率可以很好地拟合$q$ -高斯分布,尾部具有幂律松弛,指数在$α=3$附近波动,并且远远超出了个股的Lévy稳定区域。我们提供了统计上显著的证据表明,指数随换手率的增加而递减,随市价总值的增加而递增,并且发现市价总值比换手率对尾部指数的影响更大。研究结果表明,新兴股票市场的日内收益率分布并不普遍。

英文摘要:

There is convincing evidence showing that the probability distributions of stock returns in mature markets exhibit power-law tails and both the positive and negative tails conform to the inverse cubic law. It supports the possibility that the tail exponents are universal at least for mature markets in the sense that they do not depend on stock market, industry sector, and market capitalization. We investigate the distributions of one-minute intraday returns of all the A-share stocks traded in the Chinese stock market, which is the largest emerging market in the world. We find that the returns can be well fitted by the $q$-Gaussian distribution and the tails have power-law relaxations with the exponents fluctuating around $α=3$ and being well outside the Lévy stable regime for individual stocks. We provide statistically significant evidence showing that the exponents logarithmically decrease with the turnover rate and increase with the market capitalization, and find that the market capitalization has a greater impact on the tail exponent than the turnover rate. Our findings indicate that the intraday return distributions are not universal in emerging stock markets.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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