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The position profiles of order cancellations in an emerging stock market

Listed author(s):
  • Gao-Feng Gu


  • Xiong Xiong


  • Fei Ren


  • Wei-Xing Zhou


  • Wei Zhang


Registered author(s):

    Order submission and cancellation are two constituent actions of stock trading behaviors in order-driven markets. Order submission dynamics has been extensively studied for different markets, while order cancellation dynamics is less understood. There are two positions associated with a cancellation, that is, the price level in the limit-order book (LOB) and the position in the queue at each price level. We study the profiles of these two order cancellation positions through rebuilding the limit-order book using the order flow data of 23 liquid stocks traded on the Shenzhen Stock Exchange in the year 2003. We find that the profiles of relative price levels where cancellations occur obey a log-normal distribution. After normalizing the relative price level by removing the factor of order numbers stored at the price level, we find that the profiles exhibit a power-law scaling behavior on the right tails for both buy and sell orders. When focusing on the order cancellation positions in the queue at each price level, we find that the profiles increase rapidly in the front of the queue, and then fluctuate around a constant value till the end of the queue. These profiles are similar for different stocks. In addition, the profiles of cancellation positions can be fitted by an exponent function for both buy and sell orders. These two kinds of cancellation profiles seem universal for different stocks investigated and exhibit minor asymmetry between buy and sell orders. Our empirical findings shed new light on the order cancellation dynamics and pose constraints on the construction of order-driven stock market models.

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    Paper provided by in its series Papers with number 1112.6085.

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    Date of creation: Dec 2011
    Date of revision: May 2013
    Publication status: Published in The Journal of Statistical Mechanics: Theory and Experiment (JSTAT), 2013, P04027
    Handle: RePEc:arx:papers:1112.6085
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    1. Dorogovtsev, S.N. & Mendes, J.F.F. & Oliveira, J.G., 2006. "Frequency of occurrence of numbers in the World Wide Web," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 548-556.
    2. Gu, Gao-Feng & Chen, Wei & Zhou, Wei-Xing, 2008. "Empirical shape function of limit-order books in the Chinese stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5182-5188.
    3. Gu, Gao-Feng & Ren, Fei & Ni, Xiao-Hui & Chen, Wei & Zhou, Wei-Xing, 2010. "Empirical regularities of opening call auction in Chinese stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(2), pages 278-286.
    4. Gao-Feng Gu & Wei Chen & Wei-Xing Zhou, 2008. "Empirical shape function of limit-order books in the Chinese stock market," Papers 0801.3712,
    5. Ellul, Andrew & Holden, Craig W. & Jain, Pankaj & Jennings, Robert, 2007. "Order dynamics: Recent evidence from the NYSE," Journal of Empirical Finance, Elsevier, vol. 14(5), pages 636-661, December.
    6. Liu, Wai-Man, 2009. "Monitoring and limit order submission risks," Journal of Financial Markets, Elsevier, vol. 12(1), pages 107-141, February.
    7. Fong, Kingsley Y.L. & Liu, Wai-Man, 2010. "Limit order revisions," Journal of Banking & Finance, Elsevier, vol. 34(8), pages 1873-1885, August.
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