Common scaling patterns in intertrade times of U. S. stocks

Plamen Ch. Ivanov, Ainslie Yuen, Boris Podobnik, and Youngki Lee
Phys. Rev. E 69, 056107 – Published 17 May 2004
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Abstract

We analyze the sequence of time intervals between consecutive stock trades of thirty companies representing eight sectors of the U.S. economy over a period of 4 yrs. For all companies we find that: (i) the probability density function of intertrade times may be fit by a Weibull distribution, (ii) when appropriately rescaled the probability densities of all companies collapse onto a single curve implying a universal functional form, (iii) the intertrade times exhibit power-law correlated behavior within a trading day and a consistently greater degree of correlation over larger time scales, in agreement with the correlation behavior of the absolute price returns for the corresponding company, and (iv) the magnitude series of intertrade time increments is characterized by long-range power-law correlations suggesting the presence of nonlinear features in the trading dynamics, while the sign series is anticorrelated at small scales. Our results suggest that independent of industry sector, market capitalization and average level of trading activity, the series of intertrade times exhibit possibly universal scaling patterns, which may relate to a common mechanism underlying the trading dynamics of diverse companies. Further, our observation of long-range power-law correlations and a parallel with the crossover in the scaling of absolute price returns for each individual stock, support the hypothesis that the dynamics of transaction times may play a role in the process of price formation.

  • Received 25 June 2003

DOI:https://doi.org/10.1103/PhysRevE.69.056107

©2004 American Physical Society

Authors & Affiliations

Plamen Ch. Ivanov1, Ainslie Yuen2, Boris Podobnik3, and Youngki Lee4

  • 1Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215, USA
  • 2Signal Processing Laboratory, Department of Engineering, Cambridge University, Cambridge, United Kingdom
  • 3Faculty of Civil Engineering, University of Rijeka, Rijeka, Croatia
  • 4Yanbian University of Science and Technology, Yanji City, Jilin Province, China 133000

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Vol. 69, Iss. 5 — May 2004

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