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Price fluctuations from the order book perspective—empirical facts and a simple model

Sergei Maslov and Mark Mills

Physica A: Statistical Mechanics and its Applications, 2001, vol. 299, issue 1, 234-246

Abstract: Statistical properties of an order book and the effect they have on price dynamics were studied using the high-frequency NASDAQ Level II data. It was observed that the size distribution of marketable orders (transaction sizes) has power law tails with an exponent 1+μmarket=2.4±0.1. The distribution of limit order (or quote) sizes was found to be consistent with a power law with an exponent close to 2. A somewhat better fit to this distribution was obtained by using a log-normal distribution which has an effective power law exponent equal to 2 in the middle of the observed range. The depth of the order book measured as a price impact of a hypothetical large market order was observed to be a non-linear function of its size. A large imbalance in the number of limit orders placed at bid and ask sides of the book was shown to lead to a predictable short term price change, which is in accord with the law of supply and demand.

Keywords: Limit order; Order book; Price fluctuations; High-frequency data (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (58)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:299:y:2001:i:1:p:234-246

DOI: 10.1016/S0378-4371(01)00301-6

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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