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Impact is not just volatility

Author

Listed:
  • Frédéric Bucci
  • Iacopo Mastromatteo

    (SISSA / ISAS - Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies)

  • Michael Benzaquen

    (LadHyX - Laboratoire d'hydrodynamique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique)

  • Jean-Philippe Bouchaud

    (SPEC - UMR3680 - Service de physique de l'état condensé - IRAMIS - Institut Rayonnement Matière de Saclay (DRF) - CEA - Commissariat à l'énergie atomique et aux énergies alternatives - Université Paris-Saclay - Université Paris-Saclay - CNRS - Centre National de la Recherche Scientifique)

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

  • Frédéric Bucci & Iacopo Mastromatteo & Michael Benzaquen & Jean-Philippe Bouchaud, 2019. "Impact is not just volatility," Post-Print hal-02323182, HAL.
    • Handle: RePEc:hal:journl:hal-02323182
    DOI: 10.1080/14697688.2019.1622768
    Note: View the original document on HAL open archive server: https://hal.science/hal-02323182
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    References listed on IDEAS

    as
    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. M. Benzaquen & J.-P. Bouchaud, 2018. "Market impact with multi-timescale liquidity," Quantitative Finance, Taylor & Francis Journals, vol. 18(11), pages 1781-1790, November.
    4. 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.
    5. Bence Toth & Zoltan Eisler & Jean-Philippe Bouchaud, 2016. "The square-root impact law also holds for option markets," Papers 1602.03043, arXiv.org.
    6. 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.
    7. Fédéric Bucci & Michael Benzaquen & Fabrizio Lillo & Jean-Philippe Bouchaud, 2019. "Crossover from Linear to Square-Root Market Impact," Post-Print hal-02323405, HAL.
    8. 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.
    9. 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.
    10. Jonathan Donier & Julius Bonart, 2014. "A Million Metaorder Analysis of Market Impact on the Bitcoin," Papers 1412.4503, arXiv.org, revised Sep 2015.
    11. 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.
    12. 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.
    13. 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.
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    Citations

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    Cited by:

    1. Fabrizio Lillo, 2021. "Order flow and price formation," Papers 2105.00521, arXiv.org.
    2. Jean-Philippe Bouchaud, 2021. "The Inelastic Market Hypothesis: A Microstructural Interpretation," Papers 2108.00242, arXiv.org, revised Jan 2022.
    3. 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.

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