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Research on the Application of Minimum Variance Model and Utility Maximization Model in Stock Market Portfolio

In: Proceedings of the 2022 2nd International Conference on Financial Management and Economic Transition (FMET 2022)

Author

Listed:
  • Jiahao Lin

    (University of Birmingham, Business School)

  • Yunyang Lu

    (The University of Sydney, Business School)

  • Lulu Zhang

    (Purdue University, Science)

Abstract

In financial market investing, returns always come with risk. The theoretical research and practice of portfolio selection have yielded quite rich results. Based on Markowitz’s mean-variance theory, this paper analyses the returns and risks of stock portfolios, and uses the minimum variance and maximum utility models to find the optimal stock portfolios under different risk preferences. The research results show that in stock investment, when the correlation coefficient of two stocks is positive, the investment ratio of two stocks, one is greater than 1, and the other is less than 0. Investors can avoid risk by shorting one of the stocks in the following ways. When the correlation coefficient between two stocks is negative, the investment ratio of the least risky investment is greater than 0. This paper provides a favorable demonstration that investors can use utility-maximizing portfolio models to obtain optimal stock portfolios. The conclusion of this paper has important practical significance for investors to effectively avoid risks in the financial market.

Suggested Citation

  • Jiahao Lin & Yunyang Lu & Lulu Zhang, 2023. "Research on the Application of Minimum Variance Model and Utility Maximization Model in Stock Market Portfolio," Advances in Economics, Business and Management Research, in: Vilas Gaikar & Min Hou & Sikandar Ali Qalati (ed.), Proceedings of the 2022 2nd International Conference on Financial Management and Economic Transition (FMET 2022), pages 306-315, Springer.
  • Handle: RePEc:spr:advbcp:978-94-6463-054-1_35
    DOI: 10.2991/978-94-6463-054-1_35
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