Statistical properties of stock order books: empirical results and models
Jean-Philippe Bouchaud,
Marc Mezard and
Marc Potters Additional contact information Jean-Philippe Bouchaud: Science & Finance, Capital Fund Management
Marc Mezard: Universite Paris Sud (Orsay)
Marc Potters: Science & Finance, Capital Fund Management
Abstract:
We investigate several statistical properties of the order book of three liquid stocks of the Paris Bourse. The results are to a large degree independent of the stock studied. The most interesting features concern (i) the statistics of incoming limit order prices, which follows a power-law around the current price with a diverging mean; and (ii) the humped shape of the average order book, which can be quantitatively reproduced using a `zero intelligence' numerical model, and qualitatively predicted using a simple approximation
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