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An analysis of price impact function in order-driven markets

Author

Listed:
  • Iori, G.
  • Daniels, M.G.
  • Farmer, J.D.
  • Gillemot, L.
  • Krishnamurthy, S.
  • Smith, E.

Abstract

We introduce a microscopic model of double-auction markets based on random order placement. Traders post market or limit orders which are stored in the book of the exchange and executed via a central order matching mechanism. We use dimensional analysis, simulations and analytical approximations to make testable predictions of the price impact function. We find that the price impact function is always concave, in agreement with empirical measurements. We provide an explanation for its concavity based on the properties of order flows.

Suggested Citation

  • Iori, G. & Daniels, M.G. & Farmer, J.D. & Gillemot, L. & Krishnamurthy, S. & Smith, E., 2003. "An analysis of price impact function in order-driven markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 146-151.
    • Handle: RePEc:eee:phsmap:v:324:y:2003:i:1:p:146-151
    DOI: 10.1016/S0378-4371(02)01888-5
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    References listed on IDEAS

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    1. Eric Smith & J Doyne Farmer & Laszlo Gillemot & Supriya Krishnamurthy, 2003. "Statistical theory of the continuous double auction," Quantitative Finance, Taylor & Francis Journals, vol. 3(6), pages 481-514.
    2. Jean-Philippe Bouchaud & Marc Mezard & Marc Potters, 2002. "Statistical properties of stock order books: empirical results and models," Quantitative Finance, Taylor & Francis Journals, vol. 2(4), pages 251-256.
    3. Giulia Iori & Carl Chiarella, 2002. "A simple microstructure model of double auction markets," Computing in Economics and Finance 2002 44, Society for Computational Economics.
    4. Challet, Damien & Stinchcombe, Robin, 2001. "Analyzing and modeling 1+1d markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(1), pages 285-299.
    5. Ilija Zovko & J Doyne Farmer, 2002. "The power of patience: a behavioural regularity in limit-order placement," Quantitative Finance, Taylor & Francis Journals, vol. 2(5), pages 387-392.
    6. Jean-Philippe Bouchaud & Marc Mezard & Marc Potters, 2002. "Statistical properties of stock order books: empirical results and models," Science & Finance (CFM) working paper archive 0203511, Science & Finance, Capital Fund Management.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Garud Iyengar & Anuj Kumar, 2006. "An equilibrium model for matching impatient demand and patient supply over time," Papers cs/0612065, arXiv.org, revised Mar 2007.
    2. Gianluca Mattarocci, 2009. "Market Characteristics and Chaos Dynamics in Stock Markets: an International Comparison," Palgrave Macmillan Studies in Banking and Financial Institutions, in: Alessandro Carretta & Franco Fiordelisi & Gianluca Mattarocci (ed.), New Drivers of Performance in a Changing Financial World, chapter 6, pages 89-106, Palgrave Macmillan.
    3. Julius Bonart & Martin Gould, 2015. "Latency and liquidity provision in a limit order book," Papers 1511.04116, arXiv.org, revised Jun 2016.
    4. Du, Bian & Zhu, Hongliang & Zhao, Jingdong, 2016. "Optimal execution in high-frequency trading with Bayesian learning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 767-777.
    5. Zhao, Jingdong & Zhu, Hongliang & Li, Xindan, 2018. "Optimal execution with price impact under Cumulative Prospect Theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1228-1237.
    6. Harvey, M. & Hendricks, D. & Gebbie, T. & Wilcox, D., 2017. "Deviations in expected price impact for small transaction volumes under fee restructuring," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 416-426.
    7. Elezovic, Suad, 2009. "Functional modelling of volatility in the Swedish limit order book," Computational Statistics & Data Analysis, Elsevier, vol. 53(6), pages 2107-2118, April.
    8. Richard Bookstaber & Michael D. Foley & Brian F. Tivnan, 2015. "Market Liquidity and Heterogeneity in the Investor Decision Cycle," Working Papers 15-03, Office of Financial Research, US Department of the Treasury.
    9. Brian Tivnan & Matthew Koehler & Matthew McMahon & Matthew Olson & Neal Rothleder & Rajani Shenoy, 2011. "Adding to the Regulator's Toolbox: Integration and Extension of Two Leading Market Models," Papers 1105.5439, arXiv.org.
    10. Marco Bartolozzi, 2010. "A Multi Agent Model for the Limit Order Book Dynamics," Papers 1005.0182, arXiv.org, revised Oct 2010.
    11. Frank, Julieta & Garcia, Philip, 2008. "Market Depth in Lean Hog and Live Cattle Futures Markets," 2008 Conference, April 21-22, 2008, St. Louis, Missouri 37613, NCCC-134 Conference on Applied Commodity Price Analysis, Forecasting, and Market Risk Management.

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