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On the Computation of the Efficient Frontier of the Portfolio Selection Problem

Author

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  • Clara Calvo
  • Carlos Ivorra
  • Vicente Liern

Abstract

An easy‐to‐use procedure is presented for improving the ε‐constraint method for computing the efficient frontier of the portfolio selection problem endowed with additional cardinality and semicontinuous variable constraints. The proposed method provides not only a numerical plotting of the frontier but also an analytical description of it, including the explicit equations of the arcs of parabola it comprises and the change points between them. This information is useful for performing a sensitivity analysis as well as for providing additional criteria to the investor in order to select an efficient portfolio. Computational results are provided to test the efficiency of the algorithm and to illustrate its applications. The procedure has been implemented in Mathematica.

Suggested Citation

  • Clara Calvo & Carlos Ivorra & Vicente Liern, 2012. "On the Computation of the Efficient Frontier of the Portfolio Selection Problem," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:105616
    DOI: 10.1155/2012/105616
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    References listed on IDEAS

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    1. D. Goldfarb & G. Iyengar, 2003. "Robust Portfolio Selection Problems," Mathematics of Operations Research, INFORMS, vol. 28(1), pages 1-38, February.
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    2. David Opeoluwa Oyewola & Temidayo Oluwatosin Omotehinwa & Temitope Olubanjo Kehinde & Yahya Hammawa, 2026. "IAOA-LSTM: a hybrid model for stock portfolio optimization," Computational Statistics, Springer, vol. 41(2), pages 1-36, February.

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