IDEAS home Printed from https://ideas.repec.org/p/arx/papers/cond-mat-0102518.html
   My bibliography  Save this paper

Price fluctuations from the order book perspective - empirical facts and a simple model

Author

Listed:
  • Sergei Maslov
  • Mark Mills

Abstract

Statistical properties of an order book and the effect they have on price dynamics were studied using the high-frequency NASDAQ Level II data. It was observed that the size distribution of marketable orders (transaction sizes) has power law tails with an exponent 1+mu_{market}=2.4 \pm 0.1. The distribution of limit order sizes was found to be consistent with a power law with an exponent close to 2. A somewhat better fit to this distribution was obtained by using a log-normal distribution with an effective power law exponent equal to 2 in the middle of the observed range. The depth of the order book measured as a price impact of a hypothetical large market order was observed to be a non-linear function of its size. A large imbalance in the number of limit orders placed at bid and ask sides of the book was shown to lead to a short term deterministic price change, which is in accord with the law of supply and demand.

Suggested Citation

  • Sergei Maslov & Mark Mills, 2001. "Price fluctuations from the order book perspective - empirical facts and a simple model," Papers cond-mat/0102518, arXiv.org.
    • Handle: RePEc:arx:papers:cond-mat/0102518
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/cond-mat/0102518
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Biais, Bruno & Hillion, Pierre & Spatt, Chester, 1995. "An Empirical Analysis of the Limit Order Book and the Order Flow in the Paris Bourse," Journal of Finance, American Finance Association, vol. 50(5), pages 1655-1689, December.
    2. Hedvall, Kaj & Niemeyer, Jonas & Rosenqvist, Gunnar, 1997. "Do buyers and sellers behave similarly in a limit order book? A high-frequency data examination of the Finnish stock exchange," Journal of Empirical Finance, Elsevier, vol. 4(2-3), pages 279-293, June.
    3. Maslov, Sergei, 2000. "Simple model of a limit order-driven market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 278(3), pages 571-578.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Maslov, Sergei & Mills, Mark, 2001. "Price fluctuations from the order book perspective—empirical facts and a simple model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 234-246.
    2. Al-Suhaibani, Mohammad & Kryzanowski, Lawrence, 2000. "An exploratory analysis of the order book, and order flow and execution on the Saudi stock market," Journal of Banking & Finance, Elsevier, vol. 24(8), pages 1323-1357, August.
    3. Pham, Thu Phuong & Westerholm, P. Joakim, 2013. "A survey of research into broker identity and limit order book," Working Papers 17212, University of Tasmania, Tasmanian School of Business and Economics, revised 16 Oct 2013.
    4. Ibrahim, Boulis Maher & Kalaitzoglou, Iordanis Angelos, 2016. "Why do carbon prices and price volatility change?," Journal of Banking & Finance, Elsevier, vol. 63(C), pages 76-94.
    5. Adam Blazejewski & Richard Coggins, 2004. "A piecewise linear model for trade sign inference," Finance 0412012, University Library of Munich, Germany.
    6. Martin D. Gould & Mason A. Porter & Stacy Williams & Mark McDonald & Daniel J. Fenn & Sam D. Howison, 2010. "Limit Order Books," Papers 1012.0349, arXiv.org, revised Apr 2013.
    7. Brown, Philip & Thomson, Nathanial & Walsh, David, 1999. "Characteristics of the order flow through an electronic open limit order book," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 9(4), pages 335-357, November.
    8. Rene Carmona & Kevin Webster, 2013. "The Self-Financing Equation in High Frequency Markets," Papers 1312.2302, arXiv.org.
    9. Ranaldo, Angelo, 2004. "Order aggressiveness in limit order book markets," Journal of Financial Markets, Elsevier, vol. 7(1), pages 53-74, January.
    10. Ladley, Dan & Schenk-Hoppé, Klaus Reiner, 2009. "Do stylised facts of order book markets need strategic behaviour?," Journal of Economic Dynamics and Control, Elsevier, vol. 33(4), pages 817-831, April.
    11. Kyungsub Lee & Byoung Ki Seo, 2021. "Analytic formula for option margin with liquidity costs under dynamic delta hedging," Papers 2103.15302, arXiv.org.
    12. Blazejewski, Adam & Coggins, Richard, 2005. "A local non-parametric model for trade sign inference," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 348(C), pages 481-495.
    13. Vo, Minh T., 2007. "Limit orders and the intraday behavior of market liquidity: Evidence from the Toronto stock exchange," Global Finance Journal, Elsevier, vol. 17(3), pages 379-396, March.
    14. Aleksejus Kononovicius & Julius Ruseckas, 2018. "Order book model with herd behavior exhibiting long-range memory," Papers 1809.02772, arXiv.org, revised Apr 2019.
    15. Timotheos Angelidis & Alexandros Benos, 2009. "The Components of the Bid‐Ask Spread: the Case of the Athens Stock Exchange," European Financial Management, European Financial Management Association, vol. 15(1), pages 112-144, January.
    16. Gao-Feng Gu & Xiong Xiong & Hai-Chuan Xu & Wei Zhang & Yongjie Zhang & Wei Chen & Wei-Xing Zhou, 2021. "An empirical behavioral order-driven model with price limit rules," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 7(1), pages 1-24, December.
    17. Kononovicius, Aleksejus & Ruseckas, Julius, 2019. "Order book model with herd behavior exhibiting long-range memory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 171-191.
    18. Adam Blazejewski & Richard Coggins, 2004. "A local non-parametric model for trade sign inference," Finance 0408009, University Library of Munich, Germany.
    19. Hall, Anthony D. & Hautsch, Nikolaus, 2007. "Modelling the buy and sell intensity in a limit order book market," Journal of Financial Markets, Elsevier, vol. 10(3), pages 249-286, August.
    20. 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.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:cond-mat/0102518. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.