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Impact is not just volatility

Author

Listed:
  • Fr'ed'eric Bucci
  • Iacopo Mastromatteo
  • Michael Benzaquen
  • Jean-Philippe Bouchaud

Abstract

The notion of market impact is subtle and sometimes misinterpreted. Here we argue that impact should not be misconstrued as volatility. In particular, the so-called ``square-root impact law'', which states that impact grows as the square-root of traded volume, has nothing to do with price diffusion, i.e. that typical price changes grow as the square-root of time. We rationalise empirical findings on impact and volatility by introducing a simple scaling argument and confronting it to data.

Suggested Citation

  • Fr'ed'eric Bucci & Iacopo Mastromatteo & Michael Benzaquen & Jean-Philippe Bouchaud, 2019. "Impact is not just volatility," Papers 1905.04569, arXiv.org.
    • Handle: RePEc:arx:papers:1905.04569
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    References listed on IDEAS

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    1. 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.
    2. Michael Benzaquen & J.-P. Bouchaud, 2018. "Market impact with multi-timescale liquidity," Post-Print hal-02323248, HAL.
    3. Jonathan Donier & Julius Bonart, 2014. "A Million Metaorder Analysis of Market Impact on the Bitcoin," Papers 1412.4503, arXiv.org, revised Sep 2015.
    4. M. Benzaquen & J.-P. Bouchaud, 2018. "Market impact with multi-timescale liquidity," Quantitative Finance, Taylor & Francis Journals, vol. 18(11), pages 1781-1790, November.
    5. Fr'ed'eric Bucci & Iacopo Mastromatteo & Zolt'an Eisler & Fabrizio Lillo & Jean-Philippe Bouchaud & Charles-Albert Lehalle, 2018. "Co-impact: Crowding effects in institutional trading activity," Papers 1804.09565, arXiv.org, revised Jul 2018.
    6. Lorenzo Dall’amico & Antoine Fosset & Jean-Philippe Bouchaud & Michael Benzaquen, 2019. "How does latent liquidity get revealed in the limit order book?," Post-Print hal-02323373, HAL.
    7. Lorenzo Dall’amico & Antoine Fosset & Jean-Philippe Bouchaud & Michael Benzaquen, 2019. "How does latent liquidity get revealed in the limit order book?," Post-Print hal-02283821, HAL.
    8. 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.
    9. Bence Toth & Zoltan Eisler & Jean-Philippe Bouchaud, 2016. "The square-root impact law also holds for option markets," Papers 1602.03043, arXiv.org.
    10. Bence Toth & Yves Lemperiere & Cyril Deremble & Joachim de Lataillade & Julien Kockelkoren & Jean-Philippe Bouchaud, 2011. "Anomalous price impact and the critical nature of liquidity in financial markets," Papers 1105.1694, arXiv.org, revised Nov 2011.
    11. Fédéric Bucci & Michael Benzaquen & Fabrizio Lillo & Jean-Philippe Bouchaud, 2019. "Crossover from Linear to Square-Root Market Impact," Post-Print hal-02323405, HAL.
    12. J. Donier & J. Bonart & I. Mastromatteo & J.-P. Bouchaud, 2015. "A fully consistent, minimal model for non-linear market impact," Quantitative Finance, Taylor & Francis Journals, vol. 15(7), pages 1109-1121, July.
    13. Jonathan Donier & Julius Bonart & Iacopo Mastromatteo & Jean-Philippe Bouchaud, 2014. "A fully consistent, minimal model for non-linear market impact," Papers 1412.0141, arXiv.org, revised Mar 2015.
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    Cited by:

    1. Claudio Bellani & Damiano Brigo & Mikko Pakkanen & Leandro Sanchez-Betancourt, 2021. "Non-average price impact in order-driven markets," Papers 2110.00771, arXiv.org, revised Jan 2022.
    2. Fabrizio Lillo, 2021. "Order flow and price formation," Papers 2105.00521, arXiv.org.
    3. Jean-Philippe Bouchaud, 2021. "The Inelastic Market Hypothesis: A Microstructural Interpretation," Papers 2108.00242, arXiv.org, revised Jan 2022.

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