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A discrete stochastic goal program for portfolio selection: the case of United Arab Emirates equity market. (English) Zbl 07683530

Summary: In this paper we propose a stochastic goal programming approach to generate a satisfying portfolio for the United Arab Emirates (UAE) equity market. Under the assumption of non-normality of the equity returns, we propose utilizing stochastic goal programming by considering all or a number of scenarios. Some of the goals considered in our model are capital preservation (total returns), current income, and risk. The model is tested on the monthly equity data in UAE from 2002 to 2005. The model results are compared to the traditional Markowitz model covering all the criteria to evidence the superiority of stochastic goal programming for portfolio optimization.

MSC:

90-XX Operations research, mathematical programming
Full Text: DOI

References:

[1] Aouni, B.; Ben Abdelaziz, F.; Martel, J. M., Decision-maker’s preferences modeling in the stochastic goal programming, European Journal of Operational Research, 162, 610-618 (2005) · Zbl 1067.90057
[2] Ballestero, E., Stochastic goal programming: a mean-variance approach, European Journal of Operational Research, 131, 476-581 (2001) · Zbl 0980.90058
[3] Basu, S., Financial Management, 4, 2, The information content of price-earnings ratios, 53-64 (1975), Summer
[4] Ben Abdelaziz, F.; Aouni, B.; El Fayedh, R., Multi-objective stochastic programming for portfolio selection, European Journal of Operational Research, 177, 1811-1823 (2007) · Zbl 1102.90054
[5] Charnes, A.; Cooper, W. W., Management Models and Industrial Applications of Linear Programming (1961), Wiley: Wiley, New-York · Zbl 0107.37004
[6] Dominiak, C., An application of interactive multiple goal programming on the Warsaw stock exchange, Lecture Notes in Economics and Mathematical Systems, 455, 66-74 (1996)
[7] Fairfield, M. P., P/E, P/B and the present value of future dividends, Financial Analysts Journal, 50, 4, 23-31 (1994)
[8] Lee, S.M. and Chesser, D.L. (1980), “Goal programming for portfolio selection”, The Journal of Portfolio Management, 22-26.
[9] Markowitz, H., Portfolio selection, Journal of Finance, 7, 77-91 (1952)
[10] Nielsen, S. S.; Zenios, S. A., A stochastic programming model for funding single premium deferred annuities, Mathematical Programming, 75, 177-200 (1996) · Zbl 0874.90149
[11] Peavy, J. W. III; David, A., Journal of Portfolio Management, 9, 2, Goodman, the significance of P/Es for portfolio returns, 43-47 (1983), Winter
[12] Prakash, A. J.; Chang, C.; Pactwa, T. E., Selecting a portfolio with skewness: recent evidence from US, European, and Latin American equity markets, Journal of Banking and Finance, 27, 1375-1390 (2003)
[13] Rao, A., Analysis of UAE bank stocks, Economic Horizons. The Federation of UAE Chambers of Commerce and Industry, 1421-2000, 2, 12-28 (2000)
[14] Rosenberg, B.; Reid, K.; Lanstein, R., Journal of Portfolio Management, 11, 3, Persuasive evidence of market inefficiency, 9-17 (1985), Spring
[15] Sahinidis, N. V., Optimization under uncertainty: state of the art and opportunities, Computers and Chemical Engineering, 28, 971-983 (2004)
[16] Sharpe, W. F.; Bernstein, P. L.; Fabozzi, F. J., The sharpe ratio. Streetwise, The best of the Journal of Portfolio Management, 169-178 (1997), Princeton University Press: Princeton University Press, Princeton (NJ)
[17] Tamiz, M.; Hasham, R.; Jones, D. F.; Hesni, B.; Fargher, E. K.; Tamiz, M., Lecture Notes in Economics and Mathematical Systems, 432, A two staged goal programming model for portfolio selection, 286-299 (1996) · Zbl 0857.90009
[18] Zopounidis, C.; Doumpos, M.; Zanakis, S., Decision Sciences, 30, 2, Stock evaluation using a preference disaggregation methodology, 313-336 (1999), Spring
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