Nonlinear price impact from linear models
Nonlinear price impact from linear models
复制标题
线性模型的非线性价格影响
DOI:
10.1088/1742-5468/aa9335
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发表时间:
2017
期刊:
影响因子:
--
通讯作者:
Jean-Philippe Bouchaud
中科院分区:
文献类型:
--
作者:
Felix Patzelt;Jean-Philippe Bouchaud
The impact of trades on asset prices is a crucial aspect of market dynamics for academics, regulators, and practitioners alike. Recently, universal and highly nonlinear master curves were observed for price impacts aggregated on all intra-day scales (Patzelt and Bouchaud 2017 arXiv: 1706.04163). Here we investigate how well these curves, their scaling, and the underlying return dynamics are captured by linear'propagator'models. We find that the classification of trades as price-changing versus non-price-changing can explain the price impact nonlinearities and short-term return dynamics to a very high degree. The explanatory power provided by the change indicator in addition to the order sign history increases with increasing tick size. To obtain these results, several long-standing technical issues for model calibration and testing are addressed. We present new spectral estimators for two-and three-point cross-correlations, removing the need for previously used approximations. We also show when calibration is unbiased and how to accurately reveal previously overlooked biases. Therefore, our results contribute significantly to understanding both recent empirical results and the properties of a popular class of impact models.
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DOI:
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发表时间:
2015
期刊:
影响因子:
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作者:
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通讯作者:
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DOI:
10.2139/ssrn.2770352
发表时间:
2016
期刊:
Capital Markets: Market Microstructure eJournal
影响因子:
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DOI:
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发表时间:
2022
期刊:
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作者:
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