2017/01/31 by Takashi Kato, Kato, Takashi
Economics, Econometrics and Finance · #FOS: Economics and business #Mathematical Finance (q-fin.MF) #Trading and Market Microstructure (q-fin.TR) #q-fin.MF #q-fin.TR
paper · pdf · doi:10.48550/arxiv.1701.08972
22 pages, 4 figures
arxiv created 2017/08/24 · arxiv updated 2017/08/25
In this study, we introduce an explicit trading-volume process into the Almgren-Chriss model, which is a standard model for optimal execution. We propose a penalization method for deriving a verification theorem for an adaptive optimization problem. We also discuss the optimality of the volume-weighted average-price strategy of a risk-neutral trader. Moreover, we derive a second-order asymptotic expansion of the optimal strategy and verify its accuracy numerically.