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Minimax portfolio optimization: empirical numerical study

Author

Listed:
  • X Cai

    (The Chinese University of Hong Kong)

  • K L Teo

    (The Hong Kong Polytechnic University)

  • X Q Yang

    (The Hong Kong Polytechnic University)

  • X Y Zhou

    (The Chinese University of Hong Kong)

Abstract

In this paper, we carry out the empirical numerical study of the l ∞ portfolio selection model where the objective is to minimize the maximum individual risk. We compare the numerical performance of this model with that of the Markowitz's quadratic programming model by using real data from the Stock Exchange of Hong Kong. Our computational results show that the l ∞ model has a similar performance to the Markowitz's model and that the l ∞ model is not sensitive to the data. For the situation with only two assets, we establish that the expected return of the minimum variance model is less than that of the minimum l ∞ model when both variance and the return rate of one asset is less than the corresponding values of another asset.

Suggested Citation

  • X Cai & K L Teo & X Q Yang & X Y Zhou, 2004. "Minimax portfolio optimization: empirical numerical study," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(1), pages 65-72, January.
  • Handle: RePEc:pal:jorsoc:v:55:y:2004:i:1:d:10.1057_palgrave.jors.2601648
    DOI: 10.1057/palgrave.jors.2601648
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    References listed on IDEAS

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    1. A C Yeo & K A Smith & R J Willis & M Brooks, 2002. "A mathematical programming approach to optimise insurance premium pricing within a data mining framework," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(11), pages 1197-1203, November.
    2. Xiaoqiang Cai & Kok-Lay Teo & Xiaoqi Yang & Xun Yu Zhou, 2000. "Portfolio Optimization Under a Minimax Rule," Management Science, INFORMS, vol. 46(7), pages 957-972, July.
    3. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    4. Andre F. Perold, 1984. "Large-Scale Portfolio Optimization," Management Science, INFORMS, vol. 30(10), pages 1143-1160, October.
    5. K.L. Teo & X.Q. Yang, 2001. "Portfolio Selection Problem with Minimax Type Risk Function," Annals of Operations Research, Springer, vol. 101(1), pages 333-349, January.
    6. Merton, Robert C., 1972. "An Analytic Derivation of the Efficient Portfolio Frontier," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 7(4), pages 1851-1872, September.
    7. Martin R. Young, 1998. "A Minimax Portfolio Selection Rule with Linear Programming Solution," Management Science, INFORMS, vol. 44(5), pages 673-683, May.
    8. Best, Michael J & Grauer, Robert R, 1991. "On the Sensitivity of Mean-Variance-Efficient Portfolios to Changes in Asset Means: Some Analytical and Computational Results," The Review of Financial Studies, Society for Financial Studies, vol. 4(2), pages 315-342.
    9. Hiroshi Konno & Hiroaki Yamazaki, 1991. "Mean-Absolute Deviation Portfolio Optimization Model and Its Applications to Tokyo Stock Market," Management Science, INFORMS, vol. 37(5), pages 519-531, May.
    10. Charles D. Feinstein & Mukund N. Thapa, 1993. "Notes: A Reformulation of a Mean-Absolute Deviation Portfolio Optimization Model," Management Science, INFORMS, vol. 39(12), pages 1552-1553, December.
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