Explicit solutions for continuous time mean-variance portfolio selection with nonlinear wealth equations
Mathematical Finance
2016-06-20 v1 Optimization and Control
Probability
Portfolio Management
Abstract
This paper concerns the continuous time mean-variance portfolio selection problem with a special nonlinear wealth equation. This nonlinear wealth equation has a nonsmooth coefficient and the dual method developed in [6] does not work. We invoke the HJB equation of this problem and give an explicit viscosity solution of the HJB equation. Furthermore, via this explicit viscosity solution, we obtain explicitly the efficient portfolio strategy and efficient frontier for this problem. Finally, we show that our nonlinear wealth equation can cover three important cases.
Cite
@article{arxiv.1606.05488,
title = {Explicit solutions for continuous time mean-variance portfolio selection with nonlinear wealth equations},
author = {Shaolin Ji and Xiaomin Shi},
journal= {arXiv preprint arXiv:1606.05488},
year = {2016}
}