Stochastic Maximum Principle for Optimal Liquidation with Control-dependent Terminal Time
Optimization and Control
2021-09-28 v2
Abstract
In this paper we study a general optimal liquidation problem with a control-dependent stopping time which is the first time the stock holding becomes zero or a fixed terminal time, whichever comes first. We prove a stochastic maximum principle (SMP) which is markedly different in its Hamiltonian condition from that of the standard SMP with fixed terminal time. We present a simple example in which the optimal solution satisfies the SMP in this paper but fails the standard SMP in the literature.
Cite
@article{arxiv.2107.08489,
title = {Stochastic Maximum Principle for Optimal Liquidation with Control-dependent Terminal Time},
author = {Riccardo Cesari and Harry Zheng},
journal= {arXiv preprint arXiv:2107.08489},
year = {2021}
}
Comments
23 pages, 2 figures