2012/04/12 by Aurélien Alfonsi, Alfonsi, Aurélien, José Infante Acevedo +1 · 2 citations
Economics, Econometrics and Finance · Mathematics · #FOS: Economics and business #FOS: Mathematics #Optimization and Control (math.OC) #Trading and Market Microstructure (q-fin.TR) #math.OC #q-fin.TR
paper · pdf · doi:10.48550/arxiv.1204.2736
arxiv created 2012/04/12 · arxiv updated 2012/04/16
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.