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Optimal control in limit order books

Abstract : We propose a quantitative approach to some high frequency trading problematics. We are interested in several aspects of this field, from minimizing indirect trading costs to market making, and more generally in profit maximization strategies over a finite time horizon. We build an original framework that reflects specificities of high frequency trading, and especially the distinction between passive and active trading, thanks to mixed stochastic control methods. We carefully model high fequency market phenomena, and for each of them we propose calibration methods that are compatible with practical constraints of algorithmic trading.
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Contributor : Fabien Guilbaud <>
Submitted on : Sunday, June 23, 2013 - 12:05:24 PM
Last modification on : Monday, December 14, 2020 - 9:53:13 AM
Long-term archiving on: : Tuesday, September 24, 2013 - 3:00:14 AM


  • HAL Id : tel-00778458, version 2


Fabien Guilbaud. Optimal control in limit order books. Trading and Market Microstructure [q-fin.TR]. Université Paris-Diderot - Paris VII, 2013. English. ⟨tel-00778458v2⟩



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