Long Memory in Stock Trading

Andrei Leonidov

Papers from arXiv.org

Abstract: Using a relationship between the moments of the probability distribution of times between the two consecutive trades (intertrade time distribution) and the moments of the distribution of a daily number of trades we show, that the underlying point process is essentially non-markovian. A detailed analysis of all trades in the EESR stock on the Moscow International Currency Exchange in the period January 2003 - September 2003, including that of correlation between intertrade time intervals is presented. A power-law decay of the correlation provides an additional evidence of the long-memory nature of the series of times of trades. A data set including all trades in Siemens, Commerzbank and Karstadt stocks traded on the Xetra electronic stock exchange of Deutsche Boerse in October 2002 is also considered.

Date: 2003-03, Revised 2004-02
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