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Random walks, liquidity molasses and critical response in financial markets

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

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Abstract

Stock prices are observed to be random walks in time despite a strong, long term memory in the signs of trades (buys or sells). Lillo and Farmer have recently suggested that these correlations are compensated by opposite long ranged fluctuations in liquidity, with an otherwise permanent market impact, challenging the scenario proposed in Quantitative Finance 4, 176 (2004), where the impact is *transient*, with a power-law decay in time. The exponent of this decay is precisely tuned to a critical value, ensuring simultaneously that prices are diffusive on long time scales and that the response function is nearly constant. We provide new analysis of empirical data that confirm and make more precise our previous claims. We show that the power-law decay of the bare impact function comes both from an excess flow of limit order opposite to the market order flow, and to a systematic anti-correlation of the bid-ask motion between trades, two effects that create a `liquidity molasses' which dampens market volatility.

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Paper provided by Science & Finance, Capital Fund Management in its series Science & Finance (CFM) working paper archive with number 500063.

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Date of creation: Jun 2004
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Handle: RePEc:sfi:sfiwpa:500063

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

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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. J. Doyne Farmer & Fabrizio Lillo, 2003. "On the origin of power law tails in price fluctuations," Quantitative Finance Papers cond-mat/0309416, arXiv.org, revised Jan 2004. [Downloadable!]
  2. Lux, T. & M. Marchesi, . "Volatility Clustering in Financial Markets: A Micro-Simulation of Interacting Agents," Discussion Paper Serie B 437, University of Bonn, Germany, revised Jul 1998.
  3. Parameswaran Gopikrishnan & Vasiliki Plerou & Luis A. Nunes Amaral & Martin Meyer & H. Eugene Stanley, 1999. "Scaling of the distribution of fluctuations of financial market indices," Quantitative Finance Papers cond-mat/9905305, arXiv.org. [Downloadable!]
  4. Lux, Thomas, 1996. "The Stable Paretian Hypothesis and the Frequency of Large Returns: An Examination of Major German Stocks," Applied Financial Economics, Taylor and Francis Journals, vol. 6(6), pages 463-75, December. [Downloadable!] (restricted)
  5. Hasbrouck, Joel, 1991. " Measuring the Information Content of Stock Trades," Journal of Finance, American Finance Association, vol. 46(1), pages 179-207, March. [Downloadable!] (restricted)
  6. Fabrizio Lillo & J. Doyne Farmer, 2003. "The long memory of the efficient market," Quantitative Finance Papers cond-mat/0311053, arXiv.org, revised Jul 2004. [Downloadable!]
  7. repec:bep:sndecm:8:2004:3:1226-1226 is not listed on IDEAS
  8. V. Plerou & P. Gopikrishnan & L. A. N. Amaral & M. Meyer & H. E. Stanley, 1999. "Scaling of the distribution of price fluctuations of individual companies," Quantitative Finance Papers cond-mat/9907161, arXiv.org. [Downloadable!]
  9. 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!]
  10. Shiller, Robert J, 1981. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," American Economic Review, American Economic Association, vol. 71(3), pages 421-36, June. [Downloadable!] (restricted)
    Other versions:
  11. Vasiliki Plerou & Parameswaran Gopikrishnan & Xavier Gabaix & H. Eugene Stanley, 2001. "Quantifying Stock Price Response to Demand Fluctuations," Quantitative Finance Papers cond-mat/0106657, arXiv.org. [Downloadable!]
  12. J. Doyne Farmer & Laszlo Gillemot & Fabrizio Lillo & Szabolcs Mike & Anindya Sen, 2003. "What really causes large price changes?," Quantitative Finance Papers cond-mat/0312703, arXiv.org, revised Apr 2004. [Downloadable!]
  13. Vasiliki Plerou & Parameswaran Gopikrishnan & Xavier Gabaix & H. Eugene Stanley, 2004. "On the Origin of Power-Law Fluctuations in Stock Prices," Quantitative Finance Papers cond-mat/0403067, arXiv.org. [Downloadable!]
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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. 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!]
    Other versions:
  2. 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!]
  3. J. Doyne Farmer & Austin Gerig & Fabrizio Lillo & Szabolcs Mike, 2006. "Market efficiency and the long-memory of supply and demand: is price impact variable and permanent or fixed and temporary?," Quantitative Finance, Taylor and Francis Journals, vol. 6(2), pages 107-112, April. [Downloadable!] (restricted)
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