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The Price Impact of Order Book Events
Rama Cont 1, 2, Arseniy Kukanov 2, Sasha Stoikov 3
(2010-12-02)

We study the price impact of order book events - limit orders, market orders and cancelations - using the NYSE TAQ data for 50 U.S. stocks. We show that, over short time intervals, price changes are mainly driven by the order flow imbalance, defined as the imbalance between supply and demand at the best bid and ask prices. Our study reveals a linear relation between order flow imbalance and price changes, with a slope inversely proportional to the market depth. These results are shown to be robust to seasonality effects, and stable across time scales and across stocks. We argue that this linear price impact model, together with a scaling argument, implies the empirically observed "square-root" relation between price changes and trading volume. However, the relation between price changes and trade volume is found to be noisy and less robust than the one based on order flow imbalance.
1:  Laboratoire de Probabilités et Modèles Aléatoires (LPMA)
CNRS : UMR7599 – Université Pierre et Marie Curie (UPMC) - Paris VI – Université Paris VII - Paris Diderot
2:  Columbia University
Columbia University
3:  Cornell University
Cornell University
Quantitative Finance/Trading and Market Microstructure

Quantitative Finance/Statistical Finance
market microstructure – high-frequency data – price impact
Fulltext link: 
http://fr.arXiv.org/abs/1011.6402