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Semi-Absolute Deviation Rule for Mutual Funds Portfolio Selection

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Abstract

Investors consider mutual funds as an interesting investment opportunity. This is the result of the impressive growth shown by these financial products in recent times. In this paper we propose a mixed integer linear programming model dealing with the portfolio selection problem on mutual funds in a single period investment strategy. We propose some heuristics and compare their performance. According to the results obtained on real instances, heuristics have proved to be effective and efficient.

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References

  • Chang, T.-J., N. Meade, J.E. Beasley, and Y.M. Sharaiha. (2000). “Heuristics for Cardinality Constrained Portfolio Optimisation.” Computers and Operations Research 27, 1271–1302.

    Google Scholar 

  • Feinstein, C.D. and M.N. Thapa. (1993). “Notes: A Reformulation of a Mean-Absolute Deviation Portfolio Optimization Model.” Management Science 39(12), 1552–1553.

    Google Scholar 

  • Grinblatt, M. and S. Titman. (1989). “Mutual Fund Performance: An Analysis of Quarterly Portfolio Holdings.” Journal of Business 62, 393–416.

    Google Scholar 

  • Grinblatt, M. and S. Titman. (1993). “Performance Measurement without Benchmark: An Examination of Mutual Fund Returns.” Journal of Business 66, 47–68.

    Google Scholar 

  • Jensen, M. (1968). “The Performance of Mutual Funds in the Period 1954-1964.” Journal of Finance 23, 389–416.

    Google Scholar 

  • Jobst, N.J., M.D. Lucas, and G. Mitra. (2001). “Computational Aspects of Alternative Portfolio Selection Models in the Presence of Discrete Asset Choice Constraints.” Quantitative Finance 1, 1–13.

    Google Scholar 

  • Kellerer, H., R. Mansini, and M.G. Speranza. (2000). “Selecting Portfolios with Fixed Costs and Minimum Transaction Lots.” Annals of Operations Research 99, 287–304.

    Google Scholar 

  • Konno, H. and A. Wijayanayake. (2001). “Portfolio Optimization Problem under Concave Transaction Costs and Minimal Transaction Unit Constraints.” Mathematical Programming 89, 233–250.

    Google Scholar 

  • Konno, H. and H. Yamazaki. (1991). “Mean-Absolute Deviation Portfolio Optimization Model and Its Application to Tokyo Stock Market.” Management Science 37(5), 519–531.

    Google Scholar 

  • Lui, S. and D. Stefek. (1996). “A Genetic Algorithm for the Asset Paring Problem in Portfolio Optimization.” Manuscript, BARRA Inc., Berkeley, CA 94707.

    Google Scholar 

  • Markowitz, H. (1952). “Portfolio Selection.” Journal of Finance 7, 77–91.

    Google Scholar 

  • Mansini, R. and M.G. Speranza. (1999). “Heuristic Algorithms for the Portfolio Selection Problem with Minimum Transaction Lots.” European Journal of Operational Research 144, 219–233.

    Google Scholar 

  • Mansini, R., W. Ogryczak, and M.G. Speranza. (2001). “LP Solvable Models for Portfolio Optimization: A Classification and Computational Comparison,” to be printed in IMA Journal of Management Mathematics. Technical Report TR 01-25, Warsaw University of Technology, Institute of Control and Computation Engineering, Poland.

    Google Scholar 

  • Murthi, B.P.S., K.C. Yoon, and D. Preyas. (1997). “Efficiency of Mutual Funds and Portfolio Performance Measurement: A Non-Parametric Approach.” European Journal of Operational Research 98, 408–418.

    Google Scholar 

  • Ogryczak, W. (1997). “Multiple Criteria Linear Programming Model for Portfolio Selection.” Annals of Operations Research, in print. See also Technical Report TR 97-06 (243), Institute of Informatics, Warsaw University, 1997.

  • Ogryczak, W. (2000). “Risk Measurement: Mean Absolute Deviation versus Gini's Mean Difference.” In: G. Wanka (ed.), Decision Theory and Optimization in Theory and Practice. Aachen: Shaker Verlag, pp. 33–51.

    Google Scholar 

  • Preda, S. (1991). Funds and Portfolio Management Institutions: an International Survey. NEWFIN, Bocconi, Milan.

    Google Scholar 

  • Sharpe, W.F. (1966). “Mutual Fund Performance.” Journal of Business 34, 119–138.

    Google Scholar 

  • Speranza, M.G. (1993). “Linear Programming Models for Portfolio Optimization.” Finance 14, 107–123.

    Google Scholar 

  • Speranza, M.G. (1996). “A Heuristic Algorithm for a Portfolio Optimization Model Applied to the Milan Stock Market.” Computers and Operations Research 23, 433–441.

    Google Scholar 

  • Young, M.R. (1998). “A Minimax Portfolio Selection Rule with Linear Programming Solution.” Management Science 44(5), 673–683.

    Google Scholar 

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Correspondence to Renata Mansini.

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Chiodi, L., Mansini, R. & Speranza, M.G. Semi-Absolute Deviation Rule for Mutual Funds Portfolio Selection. Annals of Operations Research 124, 245–265 (2003). https://doi.org/10.1023/B:ANOR.0000004772.15447.5a

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  • DOI: https://doi.org/10.1023/B:ANOR.0000004772.15447.5a

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