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Crossover from linear to square-Root market impact

Author

Listed:
  • Fr'ed'eric Bucci
  • Michael Benzaquen
  • Fabrizio Lillo
  • Jean-Philippe Bouchaud

Abstract

Using a large database of 8 million institutional trades executed in the U.S. equity market, we establish a clear crossover between a linear market impact regime and a square-root regime as a function of the volume of the order. Our empirical results are remarkably well explained by a recently proposed dynamical theory of liquidity that makes specific predictions about the scaling function describing this crossover. Allowing at least two characteristic time scales for the liquidity (`fast' and `slow') enables one to reach quantitative agreement with the data.

Suggested Citation

  • Fr'ed'eric Bucci & Michael Benzaquen & Fabrizio Lillo & Jean-Philippe Bouchaud, 2018. "Crossover from linear to square-Root market impact," Papers 1811.05230, arXiv.org.
    • Handle: RePEc:arx:papers:1811.05230
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    File URL: http://arxiv.org/pdf/1811.05230
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    Cited by:

    1. Fr'ed'eric Bucci & Fabrizio Lillo & Jean-Philippe Bouchaud & Michael Benzaquen, 2019. "Are trading invariants really invariant? Trading costs matter," Papers 1902.03457, arXiv.org.
    2. Fr'ed'eric Bucci & Michael Benzaquen & Fabrizio Lillo & Jean-Philippe Bouchaud, 2019. "Slow decay of impact in equity markets: insights from the ANcerno database," Papers 1901.05332, arXiv.org, revised Jan 2019.
    3. Frédéric Bucci & Fabrizio Lillo & Jean-Philippe Bouchaud & Michael Benzaquen, 2019. "Are trading invariants really invariant? Trading costs matter," Working Papers hal-02323318, HAL.
    4. Frédéric Bucci & Michael Benzaquen & Fabrizio Lillo & Jean-Philippe Bouchaud, 2019. "Slow Decay of Impact in Equity Markets: Insights from the ANcerno Database," Post-Print hal-02323357, HAL.
    5. Frédéric Bucci & Fabrizio Lillo & Jean-Philippe Bouchaud & Michael Benzaquen, 2020. "Are trading invariants really invariant? Trading costs matter," Post-Print hal-02323318, HAL.

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