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Three fuzzy goal programming models for index portfolios

Author

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  • Liang-chuan Wu

    (National Chung Hsing University, Taichung, Taiwan R.O.C)

  • I-chan Tsai

    (National Chung Hsing University, Taichung, Taiwan R.O.C)

Abstract

Studies show that most actively managed mutual funds struggle to beat the market, driving an increase in the popularity of index investing. Index investing instruments, including index funds and Exchange-traded Funds, aim to track market performance. This study pursues both tracking error minimization and excess return maximization, two conflicting objectives, to construct an index portfolio. In the real-world financial environment, the desires and expectations of decision makers are generally imprecise. This study applies fuzzy theory to deal with imprecise objectives. This study represents minimizing tracking error and maximizing excess return as ‘fuzzy goals’ to improve traditional goal programming, which is suitable for handling multiple conflicting objectives, but subject to establishing crisp goals. Three fuzzy goal programming (FGP) models that track indexes are compared and discussed, and the results show that through certain membership functions and tracking models, an index tracking portfolio with a tracking error lower than the 0050 index fund, and a similar excess return to 0050 index fund can be constructed using additive type FGP. max-min type FGP underperforms the additive type FGP in index fund construction.

Suggested Citation

  • Liang-chuan Wu & I-chan Tsai, 2014. "Three fuzzy goal programming models for index portfolios," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(8), pages 1155-1169, August.
    • Handle: RePEc:pal:jorsoc:v:65:y:2014:i:8:p:1155-1169
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    References listed on IDEAS

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    1. Corielli, Francesco & Marcellino, Massimiliano, 2006. "Factor based index tracking," Journal of Banking & Finance, Elsevier, vol. 30(8), pages 2215-2233, August.
    2. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    3. Javier Gil‐Bazo & Pablo Ruiz‐Verdú, 2009. "The Relation between Price and Performance in the Mutual Fund Industry," Journal of Finance, American Finance Association, vol. 64(5), pages 2153-2183, October.
    4. Wang, Juite & Hwang, W.-L., 2007. "A fuzzy set approach for R&D portfolio selection using a real options valuation model," Omega, Elsevier, vol. 35(3), pages 247-257, June.
    5. Carhart, Mark M, 1997. "On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    6. Thiemo Krink & Stefan Mittnik & Sandra Paterlini, 2009. "Differential evolution and combinatorial search for constrained index-tracking," Annals of Operations Research, Springer, vol. 172(1), pages 153-176, November.
    7. Colwell, David & El-Hassan, Nadima & Kang Kwon, Oh, 2007. "Hedging diffusion processes by local risk minimization with applications to index tracking," Journal of Economic Dynamics and Control, Elsevier, vol. 31(7), pages 2135-2151, July.
    8. Nesri-super-˙n Okay & Uğur Akman, 2003. "Index tracking with constraint aggregation," Applied Economics Letters, Taylor & Francis Journals, vol. 10(14), pages 913-916.
    9. Dylan Jones & Mehrdad Tamiz, 2010. "Practical Goal Programming," International Series in Operations Research and Management Science, Springer, edition 1, number 978-1-4419-5771-9, December.
    10. Craig Israelsen, 2005. "A refinement to the Sharpe ratio and information ratio," Journal of Asset Management, Palgrave Macmillan, vol. 5(6), pages 423-427, April.
    11. Gaivoronski, Alexei A. & Krylov, Sergiy & van der Wijst, Nico, 2005. "Optimal portfolio selection and dynamic benchmark tracking," European Journal of Operational Research, Elsevier, vol. 163(1), pages 115-131, May.
    12. Chen, Liang-Hsuan & Tsai, Feng-Chou, 2001. "Fuzzy goal programming with different importance and priorities," European Journal of Operational Research, Elsevier, vol. 133(3), pages 548-556, September.
    13. Bjorn Hagstromer & Jane Binner, 2009. "Stock portfolio selection with full-scale optimization and differential evolution," Applied Financial Economics, Taylor & Francis Journals, vol. 19(19), pages 1559-1571.
    14. Thiemo Krink & Stefan Mittnik & Sandra Paterlini, 2009. "Differential evolution and combinatorial search for constrained index-tracking," Annals of Operations Research, Springer, vol. 172(1), pages 153-176, November.
    15. A. Charnes & W. W. Cooper, 1957. "Management Models and Industrial Applications of Linear Programming," Management Science, INFORMS, vol. 4(1), pages 38-91, October.
    16. Busse, Jeffrey A., 2001. "Another Look at Mutual Fund Tournaments," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 36(1), pages 53-73, March.
    17. Craig W. Kirkwood & Rakesh K. Sarin, 1980. "Preference Conditions for Multiattribute Value Functions," Operations Research, INFORMS, vol. 28(1), pages 225-232, February.
    18. Martens, Martin & Poon, Ser-Huang, 2001. "Returns synchronization and daily correlation dynamics between international stock markets," Journal of Banking & Finance, Elsevier, vol. 25(10), pages 1805-1827, October.
    19. Canakgoz, N.A. & Beasley, J.E., 2009. "Mixed-integer programming approaches for index tracking and enhanced indexation," European Journal of Operational Research, Elsevier, vol. 196(1), pages 384-399, July.
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    2. Huimin Peng, 2020. "Holding-Based Evaluation upon Actively Managed Stock Mutual Funds in China," Papers 2004.05322, arXiv.org, revised Jul 2020.
    3. Julio Cezar Soares Silva & Adiel Teixeira de Almeida Filho, 2023. "A systematic literature review on solution approaches for the index tracking problem in the last decade," Papers 2306.01660, arXiv.org, revised Jun 2023.
    4. Li, Bo & Lu, Ziqiang, 2023. "Uncertain random enhanced index tracking for portfolio selection with parameter estimation and hypothesis test," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).

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