1. Mean-variance hybrid portfolio optimization with quantile-based risk measure
- Author
-
Wu, Weiping, Lin, Yu, Gao, Jianjun, and Zhou, Ke
- Subjects
Quantitative Finance - Portfolio Management ,Quantitative Finance - Mathematical Finance - Abstract
This paper addresses the importance of incorporating various risk measures in portfolio management and proposes a dynamic hybrid portfolio optimization model that combines the spectral risk measure and the Value-at-Risk in the mean-variance formulation. By utilizing the quantile optimization technique and martingale representation, we offer a solution framework for these issues and also develop a closed-form portfolio policy when all market parameters are deterministic. Our hybrid model outperforms the classical continuous-time mean-variance portfolio policy by allocating a higher position of the risky asset in favorable market states and a less risky asset in unfavorable market states. This desirable property leads to promising numerical experiment results, including improved Sortino ratio and reduced downside risk compared to the benchmark models.
- Published
- 2023