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arXiv 0906.3841q-fin.STq-fin.RM
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非高斯日内股票收益模型

Model for Non-Gaussian Intraday Stock Returns

Austin Gerig, Javier Vicente, Miguel A. Fuentes

摘要:

众所周知,股票价格表现出非高斯动态,人们对理解这种行为的起源很感兴趣。在这里,我们提出了一个模型,解释的形状和规模的分布的日内股票价格波动(称为日内回报),并验证模型使用大型数据库在伦敦证券交易所交易的几只股票。我们提供的证据表明,这些股票的收益率分布是非高斯的,形状相似,并且在日内时间尺度上分布稳定。我们解释这些结果,假设收益率的波动率是恒定的日内,但在较长的时间内变化,使其平方反比遵循伽马分布。这将产生在日内时间尺度上为Student分布的回报。预测结果与我们研究中所有股票的数据以及收益分布的所有区域都非常吻合。

英文摘要:

Stock prices are known to exhibit non-Gaussian dynamics, and there is much interest in understanding the origin of this behavior. Here, we present a model that explains the shape and scaling of the distribution of intraday stock price fluctuations (called intraday returns) and verify the model using a large database for several stocks traded on the London Stock Exchange. We provide evidence that the return distribution for these stocks is non-Gaussian and similar in shape, and that the distribution appears stable over intraday time scales. We explain these results by assuming the volatility of returns is constant intraday, but varies over longer periods such that its inverse square follows a gamma distribution. This produces returns that are Student distributed for intraday time scales. The predicted results show excellent agreement with the data for all stocks in our study and over all regions of the return distribution.

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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