LONG MEMORY IN STOCK TRADING

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 correlation between intertrade time intervals is presented. A power-law decay of the correlation function 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.