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Optimal investment based on relative performance and weighted utility

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This paper studies the optimal portfolio allocation of a fund manager when he bases decisions on both the absolute level of terminal relative performance and the change value of terminal relative performance comparison to a predefined reference point.We find the optimal investment strategy by maximizing a weighted average utility of a concave utility and an S-shaped utility via a concavification technique and the martingale method.Numerical results are carried out to show the impact of the extent to which the manager pays attention to the change of relative performance related to the reference point on the optimal terminal relative performance.

relative performanceweighted utilityS-shaped utilityconcavification

WANG Lei、DONG Ying-hui、HUA Chun-rong

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Department of Mathematics,Suzhou University of Science and Technology,Suzhou 215009,China

Changshu Institute of Technology,Changshu 215500,China

国家自然科学基金Humanities and Social Science Research Projects in Ministry of Education

1207133520YJAZH025

2024

高校应用数学学报B辑(英文版)
浙江大学 中国工业与应用数学学会

高校应用数学学报B辑(英文版)

影响因子:0.146
ISSN:1005-1031
年,卷(期):2024.39(2)
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