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Journal of Applied Mathematics
Volume 2012, Article ID 105616, 25 pages
Research Article

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

Departamento de Matemáticas para la Economía y la Empresa, Universidad de Valencia, P.O. Box 46022, Valencia, Spain

Received 22 December 2011; Revised 17 May 2012; Accepted 18 May 2012

Academic Editor: Yuri Sotskov

Copyright © 2012 Clara Calvo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. H. M. Markowitz, “Portfolio selection,” Journal of Finance, vol. 7, pp. 79–91, 1952. View at Google Scholar
  2. H. M. Markowitz, Portfolio Selection: Efficient Diversification of Investments, vol. 16 of Cowles Foundation for Research in Economics at Yale University, John Wiley & Sons, New York, NY, USA, 1959.
  3. W. Hallerbach, H. Ning, A. Soppe, and J. A. Spronk, “A framework for managing a portfolio of socially responsible investments,” European Journal of Operational Research, vol. 153, no. 2, pp. 517–529, 2004. View at Publisher · View at Google Scholar · View at Scopus
  4. J. M. Cadenas, J. V. Carrillo, M. C. Garrido, C. Ivorra, and V. Liern, “Exact and heuristic procedures for solving the fuzzy portfolio selection problem,” Fuzzy Optimization and Decision Making, vol. 11, no. 1, pp. 29–46, 2012. View at Google Scholar
  5. D. Goldfarb and G. Iyengar, “Robust portfolio selection problems,” Mathematics of Operations Research, vol. 28, no. 1, pp. 1–38, 2003. View at Publisher · View at Google Scholar
  6. A. G. Hadigheh, O. Romanko, and T. Terlaky, “Sensitivity analysis in convex quadratic optimization: simultaneous perturbation of the objective and right-hand-side vectors,” Algorithmic Operations Research, vol. 2, no. 2, pp. 94–111, 2007. View at Google Scholar
  7. M. J. Best and R. R. Grauer, “Sensitivity analysis for mean-variance portfolio problems,” Management Science, vol. 37, no. 8, pp. 980–989, 1991. View at Google Scholar · View at Scopus
  8. R. E. Steuer, Y. Qi, and M. Hirschberger, “Portfolio optimization: new capabilities and future methods,” Zeitschrift für Betriebswirtschaft, vol. 76, no. 2, pp. 199–219, 2006. View at Google Scholar
  9. H. M. Markowitz and G. P. Todd, Mean-Variance Analysis in Portfolio Choice and Capital Markets, Frank J. Fabrozzi Associates, New Hope, Pa, USA, 2000.
  10. M. Hirschberger, Y. Qi, and R. E. Steuer, “Quadratic parametric programming for portfolio selection with random problem generation and computational experience,” Working Paper, Departament of Banking and Finance, University of Georgia, Athens, Ga, USA, 2006. View at Google Scholar
  11. R. E. Steuer, Y. Qi, and M. Hirschberger, “Suitable-portfolio investors, nondominated frontier sensitivity, and the effect of multiple objectives on standard portfolio selection,” Annals of Operations Research, vol. 152, no. 1, pp. 297–317, 2007. View at Publisher · View at Google Scholar
  12. A. Niedermayer and D. Niedermayer, “Applying Markowitz's critical line algorithm,” in Handbook of Portfolio Construction, chapter 12, pp. 383–400, Springer, New York, NY, USA, 2010. View at Publisher · View at Google Scholar
  15. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes: The Art of Scientific Computing, Cambridge University Press, Cambridge, UK, 3rd edition, 2007.
  16. H. H. Müller, “Modern portfolio theory: some main results,” ASTIN Bulletin, vol. 19S, pp. 9–27, 1989. View at Google Scholar
  17. R.C. Grinold and R. N. Kahn, Active Portfolio Management, McGraw-Hill, New York, NY, USA, 1999.
  18. C.-F. Huang and R. H. Litzenberger, Foundations for Financial Economics, North Holland, Amsterdam, The Netherlands, 1988.