Tail mean-variance portfolio selection with estimation risk

• Main Authors: Huang, Zhenzhen, Wei, P.engyu, Weng, Chengguo
• Other Authors: Nanyang Business School
• Format: Article
• Language: English
• Published: 2024
• Subjects: Business and Management; Tail mean-variance; Portfolio selection
• Online Access: https://hdl.handle.net/10356/174709
• Institution: Nanyang Technological University

Tail Mean-Variance (TMV) has emerged from the actuarial community as a criterion for risk management and portfolio selection, with a focus on extreme losses. The existing literature on portfolio optimization under the TMV criterion relies on the plug-in approach that substitutes the unknown mean vector and covariance matrix of asset returns in the optimal portfolio weights with their sample counterparts. However, the plug-in method inevitably introduces estimation risk and usually leads to poor out-of-sample portfolio performance. To address this issue, we propose a combination of the plug-in and 1/N rules and optimize its expected out-of-sample performance. Our study is based on the Mean-Variance-Standard-deviation (MVS) performance measure, which encompasses the TMV, classical Mean-Variance, and Mean-Standard-Deviation (MStD) as special cases. The MStD criterion is particularly relevant to mean-risk portfolio selection when risk is measured by quantile-based risk measures. Our proposed combined portfolio consistently outperforms both the plug-in MVS and 1/N portfolios in simulated and real-world datasets.