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Statistical properties of stock order books: empirical results and models

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Author Info
Jean-Philippe Bouchaud (Science & Finance, Capital Fund Management, CEA Saclay;)
Marc Mezard (Universite Paris Sud (Orsay))
Marc Potters
Abstract

We investigate several statistical properties of the order book of three liquid stocks of the Paris Bourse. The results are to a large degree independent of the stock studied. The most interesting features concern (i) the statistics of incoming limit order prices, which follows a power-law around the current price with a diverging mean; and (ii) the humped shape of the average order book, which can be quantitatively reproduced using a `zero intelligence' numerical model, and qualitatively predicted using a simple approximation

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Paper provided by Science & Finance, Capital Fund Management in its series Science & Finance (CFM) working paper archive with number 0203511.

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Date of creation: Mar 2002
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Publication status: published in Quantitative Finance 2 (August 2002) 251-256
Handle: RePEc:sfi:sfiwpa:0203511

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G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Parameswaran Gopikrishnan & Vasiliki Plerou & Xavier Gabaix & H. Eugene Stanley, 2000. "Statistical Properties of Share Volume Traded in Financial Markets," Quantitative Finance Papers cond-mat/0008113, arXiv.org. [Downloadable!]
  2. 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 1655-89, December. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Jean-Philippe Bouchaud & Yuval Gefen & Marc Potters & Matthieu Wyart, 2003. "Fluctuations and response in financial markets: the subtle nature of `random' price changes," Science & Finance (CFM) working paper archive 0307332, Science & Finance, Capital Fund Management. [Downloadable!]
  2. Carl Chiarella & Giulia Iori & Josep Perello, 2007. "The Impact of Heterogeneous Trading Rules on the Limit Order Book and Order Flows," Quantitative Finance Papers 0711.3581, arXiv.org. [Downloadable!]
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  3. Ted Theodosopoulos, 2004. "Uncertainty relations in models of market microstructure," Quantitative Finance Papers math/0409076, arXiv.org, revised Feb 2005. [Downloadable!]
  4. Marc Jeannin & Giulia Iori & David Samuel, 2006. "Modeling Stock Pinning," City University Economics Discussion Papers 06/04, Department of Economics, City University, London. [Downloadable!]
    Other versions:
  5. Jean-Philippe Bouchaud & Julien Kockelkoren & Marc Potters, 2006. "Random walks, liquidity molasses and critical response in financial markets," Quantitative Finance, Taylor and Francis Journals, vol. 6(2), pages 115-123, April. [Downloadable!] (restricted)
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  6. Gilles Zumbach, 2004. "How the trading activity scales with the company sizes in the FTSE 100," Quantitative Finance Papers cond-mat/0407769, arXiv.org. [Downloadable!]
  7. Ádám G. Zawadowski & György Andor & János Kertész, 2006. "Short-term market reaction after extreme price changes of liquid stocks," Quantitative Finance, Taylor and Francis Journals, vol. 6(4), pages 283-295, August. [Downloadable!] (restricted)
  8. Matthieu Wyart & Jean-Philippe Bouchaud & Julien Kockelkoren & Marc Potters & Michele Vettorazzo, 2006. "Relation between Bid-Ask Spread, Impact and Volatility in Double Auction Markets," Science & Finance (CFM) working paper archive 500067, Science & Finance, Capital Fund Management. [Downloadable!]
    Other versions:
  9. Marco LiCalzi & Paolo Pellizzari, 2005. "Breeds of risk-adjusted fundamentalist strategies in an order- driven market," Computational Economics 0506001, EconWPA. [Downloadable!]
  10. Caglar Tuncay, 2005. "Stock mechanics: a general theory and method of energy conservation with applications on DJIA," Quantitative Finance Papers physics/0512127, arXiv.org. [Downloadable!]
  11. Marc Potters & Jean-Philippe Bouchaud, 2002. "More statistical properties of order books and price impact," Science & Finance (CFM) working paper archive 0210710, Science & Finance, Capital Fund Management. [Downloadable!]
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