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Chinese Journal of Management Science ›› 2012, Vol. 20 ›› Issue (5): 24-30.

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The Effects of the Optimal Trading Strategies on Trading Durations

ZHANG Qiang1,2, LIU Shan-cun1, LIN Qian-hui1, QIU Wan-hua1   

  1. 1. School of Economics and Management,Beihang University,Beijing 100191,China;
    2. School of Mathematics and Systems Science ,Beihang University,Beijing 100191,China
  • Received:2011-08-05 Revised:2012-07-01 Online:2012-10-29 Published:2012-10-27

Abstract: In this paper, a one-tick model in limit order market is presented. When agents arrive at the market according to Poisson process and choose to submit a limit order or a market order to maximize their payoffs, the book follows a dynamic pattern. Although the durations of traders arrivals are independent, the trading strategies do affect the next trading duration. The expected time of a market buy order arriving increases when a trader submits a buy order, and decreases when a trader submits a sell order. Similar results for the expected time of a market sell order arriving. Therefore, the self-correlation of trade is endogenous in the dynamic process where there is no informed trader.

Key words: limit order book, private value, trading duration, Poisson process, arrival rate

CLC Number: