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The Optimal Selection of Small Portfolios

Author

Listed:
  • B. Blog

    (Van Gend en Loos, Utrecht, The Netherlands)

  • G. van der Hoek

    (Erasmus University, Rotterdam, The Netherlands)

  • A. H. G. Rinnooy Kan

    (Erasmus University, Rotterdam, The Netherlands)

  • G. T. Timmer

    (Erasmus University, Rotterdam, The Netherlands)

Abstract

Portfolios that are risk-return efficient in the sense of Markowitz sometimes contain too many securities to be attractive to the small investor. An optimal portfolio subject to a size constraint can be found by an implicit enumeration algorithm, that is much faster than a previous approach and moreover allows the inclusion of securities whose \beta -coefficient is negative. A simple and computationally very efficient heuristic method that almost always produces optimal portfolios is described as well.

Suggested Citation

  • B. Blog & G. van der Hoek & A. H. G. Rinnooy Kan & G. T. Timmer, 1983. "The Optimal Selection of Small Portfolios," Management Science, INFORMS, vol. 29(7), pages 792-798, July.
    • Handle: RePEc:inm:ormnsc:v:29:y:1983:i:7:p:792-798
    DOI: 10.1287/mnsc.29.7.792
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    Citations

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    Cited by:

    1. Eduardo Acosta-Gonz�lez & Reinaldo Armas-Herrera & Fernando Fern�ndez-Rodr�guez, 2015. "On the index tracking and the statistical arbitrage choosing the stocks by means of cointegration: the role of stock picking," Quantitative Finance, Taylor & Francis Journals, vol. 15(6), pages 1075-1091, June.
    2. Kapteyn, Arie & Teppa, Federica, 2011. "Subjective measures of risk aversion, fixed costs, and portfolio choice," Journal of Economic Psychology, Elsevier, vol. 32(4), pages 564-580, August.
    3. Meijuan Shang & Chao Zhang & Naihua Xiu, 2014. "Minimal Zero Norm Solutions of Linear Complementarity Problems," Journal of Optimization Theory and Applications, Springer, vol. 163(3), pages 795-814, December.
    4. Justin A. Sirignano & Gerry Tsoukalas & Kay Giesecke, 2016. "Large-Scale Loan Portfolio Selection," Operations Research, INFORMS, vol. 64(6), pages 1239-1255, December.
    5. Madhusmita Bhadra & Doyeon Kim, 2023. "Income elasticity of demand and stock market beta," International Finance, Wiley Blackwell, vol. 26(2), pages 225-240, August.
    6. White, D.J., 1998. "Epsilon-dominating solutions in mean-variance portfolio analysis," European Journal of Operational Research, Elsevier, vol. 105(3), pages 457-466, March.
    7. Xiaojin Zheng & Xiaoling Sun & Duan Li, 2014. "Improving the Performance of MIQP Solvers for Quadratic Programs with Cardinality and Minimum Threshold Constraints: A Semidefinite Program Approach," INFORMS Journal on Computing, INFORMS, vol. 26(4), pages 690-703, November.
    8. Xiaojin Zheng & Xiaoling Sun & Duan Li & Jie Sun, 2014. "Successive convex approximations to cardinality-constrained convex programs: a piecewise-linear DC approach," Computational Optimization and Applications, Springer, vol. 59(1), pages 379-397, October.
    9. Jianjun Gao & Duan Li, 2013. "Optimal Cardinality Constrained Portfolio Selection," Operations Research, INFORMS, vol. 61(3), pages 745-761, June.
    10. Sankaran, Jayaram K. & Patil, Ajay A., 1999. "On the optimal selection of portfolios under limited diversification," Journal of Banking & Finance, Elsevier, vol. 23(11), pages 1655-1666, November.

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