6533b833fe1ef96bd129c3a5

RESEARCH PRODUCT

Dynamics of the Number of Trades of Financial Securities

Rosario N. MantegnaFabrizio LilloGiovanni Bonanno

subject

Statistics and ProbabilityPhysics::Physics and SocietyStatistical Finance (q-fin.ST)LogarithmStatistical Mechanics (cond-mat.stat-mech)Spectral densityFOS: Physical sciencesQuantitative Finance - Statistical FinanceCondensed Matter PhysicsStock priceFOS: Economics and businessStock exchangeComputer Science::Computational Engineering Finance and ScienceEconometricsStock (geology)Condensed Matter - Statistical MechanicsMathematics

description

We perform a parallel analysis of the spectral density of (i) the logarithm of price and (ii) the daily number of trades of a set of stocks traded in the New York Stock Exchange. The stocks are selected to be representative of a wide range of stock capitalization. The observed spectral densities show a different power-law behavior. We confirm the $1/f^2$ behavior for the spectral density of the logarithm of stock price whereas we detect a $1/f$-like behavior for the spectral density of the daily number of trades.

10.1016/s0378-4371(99)00629-9http://arxiv.org/abs/cond-mat/9912006