In this paper, we develop a theoretical model to describe the dynamics of the trading volume under continuous double auction mechanism in limit order markets. We examine the formation process and statistical properti...In this paper, we develop a theoretical model to describe the dynamics of the trading volume under continuous double auction mechanism in limit order markets. We examine the formation process and statistical properties （including the mean, wriance, and realized value） of the buy side cumulative trading volume, sell side cumulative trading volume and total cumulative volume under continuous double auction mechanism by means of mathematical modeling based on Poisson process of order flows, and do some corresponding numerical simulations and comparative statics on the factors that would influence these three volumes aforementioned. The results indicate that these three volumes are all influenced by the factors including the arrival rate of orders, demands of each order, proportional structure between buy and sell orders, executed probability and time interval we examined. And our established theoretical model can well capture the dynamics of these three volumes under continuous double auction mechanism in limit order markets when all these factors interact.展开更多
文摘In this paper, we develop a theoretical model to describe the dynamics of the trading volume under continuous double auction mechanism in limit order markets. We examine the formation process and statistical properties （including the mean, wriance, and realized value） of the buy side cumulative trading volume, sell side cumulative trading volume and total cumulative volume under continuous double auction mechanism by means of mathematical modeling based on Poisson process of order flows, and do some corresponding numerical simulations and comparative statics on the factors that would influence these three volumes aforementioned. The results indicate that these three volumes are all influenced by the factors including the arrival rate of orders, demands of each order, proportional structure between buy and sell orders, executed probability and time interval we examined. And our established theoretical model can well capture the dynamics of these three volumes under continuous double auction mechanism in limit order markets when all these factors interact.
