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Optimal execution and price manipulations in time-varying limit order books
Alfonsi A., Infante Acevedo J.
http://hal-enpc.archives-ouvertes.fr/hal-00687193
Preprint, Working Paper, Document sans référence, etc.
Économie et finance quantitative/Microstructure des marchés
Mathématiques/Optimisation et contrôle
Optimal execution and price manipulations in time-varying limit order books
Aurélien Alfonsi () 1, José Infante Acevedo 1
1 :  Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS)
http://cermics.enpc.fr/
Ecole des Ponts ParisTech
6 et 8 avenue Blaise Pascal Cité Descartes - Champs sur Marne 77455 Marne la Vallée Cedex 2
France
This paper focuses on an extension of the Limit Order Book (LOB) model with general shape introduced by Alfonsi, Fruth and Schied. Here, the additional feature allows a time-varying LOB depth. We solve the optimal execution problem in this framework for both discrete and continuous time strategies. This gives in particular sufficient conditions to exclude Price Manipulations in the sense of Huberman and Stanzl or Transaction-Triggered Price Manipulations (see Alfonsi, Schied and Slynko). These conditions give interesting qualitative insights on how market makers may create or not price manipulations.
Anglais

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TEX
ref_papier_lob_time.bib(9 KB)
graphe_block.eps(46.4 KB)
graphe_pow_moins03.eps(47.9 KB)
graphe_pow_plus1.eps(46.5 KB)
papier_lob_time.tex(105.8 KB)
PDF
papier_lob_time.pdf(335.4 KB)
PS
papier_lob_time.ps(1.1 MB)