Universal scaling and nonlinearity of aggregate price impact in financial markets.

Universal scaling and nonlinearity of aggregate price impact in financial markets.
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金融市场总价格影响的普遍尺度和非线性

DOI:
10.1103/physreve.97.012304
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发表时间:
2018
期刊:
Physical review. E
影响因子:
--
通讯作者:
Jean-Philippe Bouchaud
Jean-Philippe Bouchaud
中科院分区:
--
文献类型:
--
作者:
Felix Patzelt;Jean-Philippe Bouchaud

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股价如何变动,以及为什么变动,这是一个数百年前的问题,至今仍未得到确凿答案。最近,人们的注意力转移到了更高的频率上,交易在不同的时间尺度上被分段处理。在这里,我们揭示了价格影响具有普遍的非线性形状,对任何一天内聚集的交易。它的形状在不同的工具之间变化不大,但对于订单数量和符号的影响,得到的主曲线却截然不同。这一比例在很大程度上取决于相关的赫斯特指数。我们进一步证明,极端的订单流失衡与大回报无关。相反,当价格被固定在特定水平时,就会被观察到。只有当本地订单流有足够的平衡时,价格才会变动。事实上,一笔交易改变中间价的概率在所有日内尺度的弧形曲线上随着(绝对)订单符号偏差的增加而降至零。我们的发现挑战了线性聚集影响的普遍假设。它们意味着,所有日内时间尺度上的市场动态都是由流动性供应和获取流动的相关性和双边适应所塑造的。
How and why stock prices move is a centuries-old question still not answered conclusively. More recently, attention shifted to higher frequencies, where trades are processed piecewise across different time scales. Here we reveal that price impact has a universal nonlinear shape for trades aggregated on any intraday scale. Its shape varies little across instruments, but drastically different master curves are obtained for order-volume and -sign impact. The scaling is largely determined by the relevant Hurst exponents. We further show that extreme order-flow imbalance is not associated with large returns. To the contrary, it is observed when the price is pinned to a particular level. Prices move only when there is sufficient balance in the local order flow. In fact, the probability that a trade changes the midprice falls to zero with increasing (absolute) order-sign bias along an arc-shaped curve for all intraday scales. Our findings challenge the widespread assumption of linear aggregate impact. They imply that market dynamics on all intraday time scales are shaped by correlations and bilateral adaptation in the flows of liquidity provision and taking.
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