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arXiv 0711.4596q-fin.STphysics.soc-ph
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股票价格的非随机游走:符号和大小之间的长期相关性

The non-random walk of stock prices: The long-term correlation between signs and sizes

Gabriele La Spada, J. Doyne Farmer, Fabrizio Lillo

摘要:

我们研究价格的随机游走,通过开发一个简单的模型,将单个价格变化的符号和绝对值的属性与较长时间尺度上价格的扩散率(波动率)联系起来。我们表明,这个基准模型是无法重现的实际价格的扩散属性。具体来说,我们发现,对于一个小时的间隔,该模型始终高估了约70%的实际价格序列的波动性,这种影响变得更强的时间间隔的长度增加。通过选择性地对数据的某些组成部分进行洗牌,同时保留其他组成部分,我们能够表明,这种差异是由个体收益率的符号和大小之间微妙但长期的非同期相关性引起的。我们推测,这与交易符号的长记忆性和加强市场有效性的需要有关。

英文摘要:

We investigate the random walk of prices by developing a simple model relating the properties of the signs and absolute values of individual price changes to the diffusion rate (volatility) of prices at longer time scales. We show that this benchmark model is unable to reproduce the diffusion properties of real prices. Specifically, we find that for one hour intervals this model consistently over-predicts the volatility of real price series by about 70%, and that this effect becomes stronger as the length of the intervals increases. By selectively shuffling some components of the data while preserving others we are able to show that this discrepancy is caused by a subtle but long-range non-contemporaneous correlation between the signs and sizes of individual returns. We conjecture that this is related to the long-memory of transaction signs and the need to enforce market efficiency.

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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