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More statistical properties of order books and price impact

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

We investigate present some new statistical properties of order books. We analyse data from the Nasdaq and investigate (a) the statistics of incoming limit order prices, (b) the shape of the average order book, and (c) the typical life time of a limit order as a function of the distance from the best price. We also determine the `price impact' function using French and British stocks, and find a logarithmic, rather than a power-law, dependence of the price response on the volume. The weak time dependence of the response function shows that the impact is, surprisingly, quasi-permanent, and suggests that trading itself is interpreted by the market as new information.

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Publisher Info
Paper provided by Science & Finance, Capital Fund Management in its series Science & Finance (CFM) working paper archive with number 0210710.

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Date of creation: Oct 2002
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Publication status: published in Physica A 324 (1-2) 133-140 (2003)
Handle: RePEc:sfi:sfiwpa:0210710

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

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  1. 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. [Downloadable!]
  2. Frantisek Slanina, 2001. "Mean-field approximation for a limit order driven market model," Quantitative Finance Papers cond-mat/0104547, arXiv.org, revised Aug 2001. [Downloadable!]
  3. 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)
  4. Jean-Philippe Bouchaud & Rama Cont, 1998. "A Langevin approach to stock market fluctuations and crashes," Science & Finance (CFM) working paper archive 500027, Science & Finance, Capital Fund Management. [Downloadable!]
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This page was last updated on 2009-12-9.


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