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A Multi-stage Multi Criteria Model for Portfolio Management

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Abstract

Today, portfolio management is an important task for all companies. The aim of portfolio selection is to choose a set of projects from a pool of possible projects such that the value of financial actions is maximized conditional on resource availability and technical limitations. However, existing portfolio selection methods and models do not significantly consider the dimension of time. Nevertheless, the best portfolio selection decisions depend on investor characteristics and expectations as well as the coordination of portfolio cash flows with financial plans. In this paper, we provide a goal programming model based on the current perception of the future prices of existing portfolio projects and present a plan for the selection of the optimal project portfolio by taking into account the flows desired by investors. Goal Programming (GP) is a very useful approach in the area of multiple criteria decision making that allows the decision maker to include multiple deviations of restrictions and goals, especially in the area of portfolio selection. This paper gives an application of GP to portfolio selection and analysis problems. To incorporate uncertainty into the model, portfolio prices and multiple criteria are considered in fuzzy conditions. In addition, we consider real option valuation in project portfolio management (PPM). We also present a method of fuzzifying PPM parameters using expert opinions. In applying the model, we consider a 6-project portfolio over five investment periods and compare the use of the model in fuzzy and non-fuzzy situations.

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References

  1. Bodie Z., Merton R.C.: Finance. Prentice Hall, New Jersey (1979)

    Google Scholar 

  2. Agha S.R., Jarbo M.H., Matr S.J.: A multi-criteria multi-stakeholder industrial projects prioritization in Gaza Strip. Arab. J. Sci. Eng. 38(5), 1217–1227 (2013)

    Article  Google Scholar 

  3. Zopounidis C.: Multicriteria decision aid in financial management. Eur. J. Oper. Res. 119(2), 404–415 (1999)

    Article  Google Scholar 

  4. Ekeland, I.: Finance: Un nouveau domaine des mathematiques appliquees. Revue Francßaise de Gestion, pp. 44–48 (1993)

  5. Ross S.A.: The arbitrage theory of capital asset pricing. J. Econ. Theory 13(3), 341–360 (1976)

    Article  Google Scholar 

  6. Xidonas P., Mavrotas G., Psarras J.: A multicriteria methodology for equity selection using financial analysis. Comput. Oper. Res. 36, 3187–3203 (2009)

    Article  MATH  Google Scholar 

  7. Cover T.M., Ordentlich E.: Universal portfolios with side information. IEEE Trans. Inf. Theory 42(2), 348–363 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  8. El-Yaniv R.: Competitive solutions for online financial problems. ACM Comput. Surv. 30(1), 28–69 (1998)

    Article  MathSciNet  Google Scholar 

  9. Hung, K.K.; Cheung, C.C.; Xu, L.: New Sharpy-ratio-related methods for portfolio selection. In: Computational intelligence for financial engineering (2000)

  10. Singer Y.: Switching portfolios. Int. J. Neural Syst. 8(4), 445–455 (1997)

    Article  Google Scholar 

  11. Salah K.: Two analytical models for evaluating performance of gigabit ethernet hosts. Arab. J. Sci. Eng. 31(2B), 245–263 (2005)

    MathSciNet  Google Scholar 

  12. Chiu, K.C.; Xu, L.: Arbitrage pricing theory-based Gaussion temporal factor analysis for adaptive portfolio management. Decis. Support Syst. (37), 485–500 (2004)

  13. Desai, R.; Lele, T.; Viens, F.: A Monte-Carlo method for portfolio optimization under partially observed stochastic volatility. In: Computational intelligence for financial engineering (2003)

  14. Goel M., Kumar S.: A risk-sensitive portfolio optimisation problem with stochastic interest rate. J. Emerg. Mark. Financ. 5(3), 263–282 (2006)

    Article  Google Scholar 

  15. Greyserman A., Jones D.H., Strawderman W.E.: Portfolio selection using hierarchical Beyesian analysis and MCDM methods. J. Bank. Financ. 30, 669–678 (2006)

    Article  Google Scholar 

  16. Shreve S.E.: Stochastic calculus for finance I: the binomial asset pricing model. Springer, New York (2005)

    Google Scholar 

  17. Fonseca R.J, Rustem B.: International portfolio management with affine policies. Eur. J. Oper. Res. 223(1), 177–187 (2012). doi:10.1016/j.ejor.2012.06.001

    Article  MATH  MathSciNet  Google Scholar 

  18. Gupta P., Inuiguchi M., Mehlawat M.K.: A hybrid approach for constructing suitable and optimal portfolios. Expert Syst. Appl. 38(5), 5620–5632 (2011). doi:10.1016/j.eswa.2010.10.073

    Article  Google Scholar 

  19. García S. et al.: Time-stamped resampling for robust evolutionary portfolio optimization. Expert Syst. Appl. 39(12), 10722–10730 (2012). doi:10.1016/j.eswa.2012.02.195

    Article  Google Scholar 

  20. Grigolon A.B., Kemperman A.D.A.M., Timmermans H.J.P.: The influence of low-fare airlines on vacation choices of students: results of a stated portfolio choice experiment. Tour. Manag. 33(5), 1174–1184 (2012). doi:10.1016/j.tourman.2011.11.013

    Article  Google Scholar 

  21. Al-Otaibi M., Mukhopadhyay A.: Options for managing water resources in kuwait. Arab. J. Sci. Eng. 30(2C), 55–68 (2005)

    Google Scholar 

  22. Golabi, K.: Selecting a group of dissimilar projects for funding. IEEE Trans. Eng. Manag. 34, 138–145 (1987)

    Article  Google Scholar 

  23. Golabi K., Kirkwood C.W., Sicherman A.: Selecting a portfolio of solar energy projects using multiattribute preference theory. Manag. Sci. 27, 174–189 (1981)

    Article  Google Scholar 

  24. Stummer, C.; Heidenberger, K.: Interactive R&D portfolio analysis with project interdependencies and time proles of multiple objectives. IEEE Trans. Eng. Manag. 50, 175–183 (2003)

    Google Scholar 

  25. Kleinmuntz C.E., Kleinmuntz D.N.: Strategic approaches for allocating capital in healthcare organizations. Healthc. Financ. Manag. 53, 52–58 (1999)

    Google Scholar 

  26. Kleinmuntz, D.N.: Resource allocation decisions. In: Edwards, W.; Miles, R.F.; Winterfeldt, D.v. (eds.) Advances in decision Analysis: from foundations to applications. Cambridge University Press, New York (2006)

  27. Ewing P.L., Tarantino W., Parnell G.S.: Use of decision analysis in the Army Base Realignment and Closure (BRAC) 2005 military value analysis. Decis. Anal. 3, 33–49 (2006)

    Article  Google Scholar 

  28. Mavrotas, G.; Diakoulaki, D.; Caloghirou, Y.: Project prioritization under policy restrictions. A combination of MCDA with 0–1 programming. Eur. J. Oper. Res. 171, 296–308 (2006)

    Google Scholar 

  29. Xidonas P., Psarras J.: Equity portfolio management within the MCDM frame: a literature review. Int. J. Bank. Account. Financ. 1(3), 285–309 (2008)

    Article  Google Scholar 

  30. Steuer R.E., Qi Y., Hirschberger M.: Multiple objectives in portfolio selection. J. Financ. Decis. Mak. 1(1), 11–26 (2005)

    Google Scholar 

  31. Steuer R.E., Qi Y., Hirschberger M.: Portfolio optimization: new capabilities and future methods. Zeitschrift für Betriebswirtschaft 76(2), 199–219 (2006)

    Article  Google Scholar 

  32. Steuer, R.E.; Qi, Y.; Hirschberger, M.: Portfolio selection in the presence of multiple criteria. In: Zopounidis, C.; Doumpos, M.; Pardalos, M. (eds.) Handbook of financial engineering. Springer, New York (2007)

  33. Zopounidis, C.: Multicriteria decision aid in financial management. Eur. J. Oper. Res. 119(2), 404–415 (1999)

    Article  Google Scholar 

  34. Zopounidis C., Doumpos M.: Multicriteria decision aid in financial decision making: methodologies and literature review. J. Multicriteria Decis. Anal. 11, 167–186 (2002)

    Article  MATH  Google Scholar 

  35. Doumpos M., Spanos M., Zopounidis C.: On the use of goal programming techniques in the assessment of financial risks. J. Euro Asian Manag. 5(1), 83–100 (1999)

    Google Scholar 

  36. Spronk J., Hallerbach W.G.: Financial modelling: Where to go? with an illustration for portfolio management. Eur. J. Oper. Res. 99(1), 113–127 (1997)

    Article  MATH  Google Scholar 

  37. Zeleny, M.: Multidimensional measure of risk: the prospect ranking vector. In: Zionts, S. (ed.) Multiple criteria problem solving. Springer, Heidelberg, pp. 529–548 (1977)

  38. Zeleny, M.: Satisficing optimization, and risk in portfolio selection. In: Derkinderen, F.G.H.; Crum, R.L. (eds.) Readings in strategies for corporate investment. Pitman Publishing, Boston, pp. 200–219 (1981)

  39. Colson, G.; Zeleny, M.: Uncertain prospects ranking and portfolio analysis under the condition of partial information. Mathematical systems in economics, vol.44. Verlag Anton Hain, Maisenheim (1979)

  40. Jacquillat B.: Les modeles devaluation et de selection des valeurs mobilieres: panorama des recherches americaines. Analyse Financiere 11, 68–88 (1972)

    Google Scholar 

  41. Hurson C., Zopounidis C.: On the use of multicriteria decision aid methods to portfolio selection. J. Euro Asian Manag. 1(2), 69–94 (1995)

    Google Scholar 

  42. Steuer R.E., Na P.: Multiple criteria decision making combined with finance: a categorized bibliography. Eur. J. Oper. Res. 150(3), 496–515 (2003)

    Article  MATH  Google Scholar 

  43. Steuer, R.E.; Qi, Y.; Hirschberger, M.: Portfolio selection in the presence of multiple criteria. In: Zopounidis, C.; Doumpos, M.; Pardalos, P.M. (eds.) Handbook of financial engineering. Springer Science+Business Media, New York (2008)

  44. Heising W.: The integration of ideation and project portfolio management—a key factor for sustainable success. Int. J. Proj. Manag. 30(5), 582–595 (2012). doi:10.1016/j.ijproman.2012.01.014

    Article  Google Scholar 

  45. Meskendahl S.: The influence of business strategy on project portfolio management and its success—a conceptual framework. Int. J. Proj. Manag. 28(8), 807–817 (2010). doi:10.1016/j.ijproman.2010.06.007

    Article  Google Scholar 

  46. Ho, S.-H.; Liao, S.-H.: A fuzzy real option approach for investment project valuation. Expert Syst. Appl. 38(12), 15296–15302. doi:10.1016/j.eswa.2011.06.010 (2011)

  47. Coffin M.A., Tayllor B.W.: Multiple criteria R&D project selection and scheduling using fuzzy logic. Comput. Oper. Res. 23, 207–220 (1996)

    Article  Google Scholar 

  48. Anagnostopoulos, K.P.; Mamanis, G.: A portfolio optimization model with three objectives and discrete variables. Comput. Oper. Res. 37(7), 1285–1297. doi:10.1016/j.cor.2009.09.009 (2010)

    Google Scholar 

  49. Anisuddin S., Hashar N.A., Tahseen S.: Prevention of oil spill pollution in seawater using locally available materials. Arab. J. Sci. Eng. 30(2B), 143–152 (2005)

    Google Scholar 

  50. Biedenbach, T.; Müller, R.: Absorptive, innovative and adaptive capabilities and their impact on project and project portfolio performance. Int. J. Proj. Manag. 30(5), 621–635. doi:10.1016/j.ijproman.2012.01.016 (2012)

  51. Xidonas, P.; et al.: IPSSIS: an integrated multicriteria decision support system for equity portfolio construction and selection. Eur. J. Oper. Res. 210(2), 398–409. doi:10.1016/j.ejor.2010.08.028 (2011)

  52. Myers S.: Determinants of corporate borrowing. J. Financ. Econ. 5(2), 147–175 (1977)

    Article  Google Scholar 

  53. Avison D. et al.: Action research. Commun. ACM 42(1), 94–97 (1999)

    Article  Google Scholar 

  54. Angelou, G.N.; Economides, A.A.: A multi-criteria game theory and real-options model for irreversible ICT investment decisions. Telecommun. Policy 33(10–11), 686–705. doi:10.1016/j.telpol.2009.07.005 (2009)

  55. Black F., Scholes M.: The pricing of options and corporate liabilities. J. political Econ. 81, 637–659 (1973)

    Article  Google Scholar 

  56. Chen M.-Y., Chen C.-C.: Options analysis and knowledge management: implications for theory and practice. Inf. Sci. 181(18), 3861–3877 (2011). doi:10.1016/j.ins.2011.04.046

    Article  Google Scholar 

  57. Chevalier-Roignant, B.; et al.: Strategic investment under uncertainty: a synthesis. Eur. J. Oper. Res. 215(3), 639–650. doi:10.1016/j.ejor.2011.05.038 (2011)

    Google Scholar 

  58. Driouchi, T.; Bennett, D.: Real options in multinational decision-making: managerial awareness and risk implications. J. World Bus. 46(2), 205–219. doi:10.1016/j.jwb.2010.05.007 (2011)

  59. Eckhause, J.M.; Hughes, D.R.; Gabriel, S.A.: Evaluating real options for mitigating technical risk in public sector R&D acquisitions. Int. J. Project Manag. 27(4), 365–377. doi:10.1016/j.ijproman.2008.05.015 (2009)

  60. Fisch, J.H.: Real call options to enlarge foreign subsidiaries—the moderating effect of irreversibility on the influence of economic volatility and political instability on subsequent FDI. J. World Bus. 46(4), 517–526. doi:10.1016/j.jwb.2010.10.012 (2011)

  61. Kallio, M.; Kuula, M.; Oinonen, S.: Real options valuation of forest plantation investments in Brazil. Eur. J. Oper. Res. 217(2), 428–438. doi:10.1016/j.ejor.2011.09.040 (2012)

  62. Azarpour A. et al.: A review on the drawbacks of renewable energy as a promising energy source of the future. Arab. J. Sci. Eng. 38, 317–328 (2013)

    Article  Google Scholar 

  63. Leslie K., Michaels M.: The real power of real options. McKinsey Q. 3, 5–22 (1997)

    Google Scholar 

  64. Farrah Merlinda M.: Assessing risk for strategy formulation in steel industry through real option analysis. Procedia Soc. Behav. Sci. 24(0), 991–1002 (2011). doi:10.1016/j.sbspro.2011.09.080

    Google Scholar 

  65. Metaxiotis, K.; Liagkouras, K.: Multiobjective evolutionary algorithms for portfolio management: a comprehensive literature review. Expert Syst. Appl. 39(14), 11685–11698. doi:10.1016/j.eswa.2012.04.053 (2012)

  66. Charnes A., Cooper W., Ferguson R.: Optimal estimation of executive compensation by linear programming. J. Manag. Sci. 1(1), 138–151 (1955)

    Article  MATH  Google Scholar 

  67. Tamiz M., Jones D., Romero C.: Goal programming for decision making: an overview of the current state-of-the-art. Eur. J. Oper. Res. 111, 569–581 (1998)

    Article  MATH  Google Scholar 

  68. Romero C.: Handbook of critical issues in goal programming. Pergamon, Oxford (1991)

    MATH  Google Scholar 

  69. Romero C.: A general structure of achievement function for a goal programming model. Eur. J. Oper. Res. 153, 675–686 (2004)

    Article  MATH  Google Scholar 

  70. Chang C.T.: Efficient structures of achievement functions for goal programming models. Asia Pac. J. Oper. Res. 24(6), 755–764 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  71. Callin S.: Portable alpha theory and practice: what investors really need to know. Wiley, Hoboken (2008)

    Google Scholar 

  72. Kumar P., Philippatos G., Ezzell J.: Goal programming and selection of portfolio by dualpurpose funds. J. Financ. 33, 303–310 (1978)

    Article  Google Scholar 

  73. Yaghoobi M., Tamiz M.: On improving a weighted additive model for fuzzy goal programming problems. Int. Rev. Fuzzy Math. 1, 115–129 (2006)

    MATH  MathSciNet  Google Scholar 

  74. Leon T., Liern V., Vercher E.: Viability of infeasible portfolio selection problems: a fuzzy approach. Eur. J. Oper. Res. 139, 178–189 (2002)

    Article  MATH  Google Scholar 

  75. Paksoy, T.; Pehlivan, N.Y.; Özceylan, E.: Application of fuzzy optimization to a supply chain network design: a case study of an edible vegetable oils manufacturer. Appl. Math. Model. 36(6), 2762–2776. doi:10.1016/j.apm.2011.09.060 (2012)

  76. Spronk, J.; Steuer, R.E.; Zopounidis, C.: Multicriteria decision analysis/aid in finance. In: Figuiera, J.; Greco, S.; Ehrgott, M. (eds.) Multiple criteria decision analysis: state of the art surveys. Springer Science, Berlin, pp. 799–857 (2005)

  77. Lee H., Kwak W., Han I.: Developing a business performance evaluation system: an analytic hierarchical model. Eng. Econ. 30(4), 343–357 (1995)

    Article  Google Scholar 

  78. Jablonsky J.: Multicriteria evaluation of clients in financial houses. Cent. Eur. J. Oper. Res. Econ. 3(3), 257–264 (1993)

    Google Scholar 

  79. Zmitri R., Martel J.M., Dumas Y.: Un indice multicritere de sante financiere pour les succursales bancaires. Revue FINECO, Finance, Economie, Comptabilite 8(2), 107–121 (1998)

    Google Scholar 

  80. Pardalos, P.M.; Michalopoulos, M.; Zopounidis, C.: On the use of multicriteria methods for the evaluation of insurance companies in Greece. In: Zopounidis, C. (ed.) New operational approaches for financial modelling. Physica, Heidelberg, pp. 271–283 (1997)

  81. Mareschal B., Mertens D.: Evaluation financiere par’la methode multicritere GAIA: application au secteur bancaire beige. Revue de la Banque 6, 317–329 (1990)

    Google Scholar 

  82. Babic, Z.; Plazibat, N.: Ranking of enterprises based on multicriteria analysis. Int. J. Prod. Econ. 56–57, 29–35 (1998)

    Google Scholar 

  83. Colson G., Mbangala M.: Evaluation multicritere d’ entreprises publiques du rail. FINECO 8(1), 45–72 (1998)

    Google Scholar 

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  1. Industrial Engineering Department, Iran University of Science and Technology, No.12-Arasteh Blind Alley, Shahid Sadeghi Alley, Dokhaniat, 4813967659, Sari, Iran

    Abdollah Arasteh, Alireza Aliahmadi & Mohammad Mohammadpour Omran

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  1. Abdollah Arasteh
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  2. Alireza Aliahmadi
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Arasteh, A., Aliahmadi, A. & Omran, M.M. A Multi-stage Multi Criteria Model for Portfolio Management. Arab J Sci Eng 39, 4269–4283 (2014). https://doi.org/10.1007/s13369-014-0987-9

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