Optimization models play a critical role in determining portfolio strategies for investors. The traditional mean variance optimization approach has only one objective, which fails to meet the demand of investors who have multiple investment objectives. This paper presents a multi-objective approach to portfolio optimization problems. The proposed optimization model simultaneously optimizes portfolio risk and returns for investors and integrates various portfolio optimization models. Optimal portfolio strategy is produced for investors of various risk tolerance. Detailed analysis based on conve x optimization and application of the model are provided and compared to the mean variance approach.

Author Bio

Yaoyao Clare Duan is an undergraduate student from Boston College double majoring inmathematics and finance. The paper A Multi-Objective Approach to Portfolio Optimization is her senior year thesis.She is graduating in May 2007. After graduation, she is working full-time as an investment-banking analyst. Other than mathematics, she enjoys traveling, running, kayaking, badminton, and piano.