# Portfolio performance and risk-based assessment of the PORTRAIT tool

## Abstract

In this paper we evaluate and extend the PORTRAIT tool. PORTRAIT applies an argumentation based methodology for composing fund portfolios. Argumentation allows for combining different contexts and preferences in a way that can be optimized. It allows for defining a set of different investment policy scenarios and supports the investor/portfolio manager in composing efficient portfolios that meet her/his profile. The performance and risk of the constructed portfolios is compared with portfolios based on a traditional performance index under different scenarios. This approach is applied on data of Greek domestic equity mutual funds over the period from January 2006 to December 2011 with positive results. The empirical results of our study showed that argumentation is well suited for this type of applications giving answers to two important questions, i.e. which mutual funds are the most suitable to invest in, and, what portion of the available capital should be invested in each of these funds.

## Keywords

Decision making Argumentation Mutual funds Portfolio selection## Mathematics Subject Classification

90B50## References

- Alexakis P, Tsolas I (2011) Appraisal of mutual equity fund performance using Data Envelopment Analysis. Multinatl Financ J 15(3/4):273–296CrossRefGoogle Scholar
- Aouni B, Colapinto C, La Torre D (2014) Financial portfolio management through the goal programming model: current state-of-the-art. Eur J Oper Res 234:536–545. doi: 10.1016/j.ejor.2013.09.040 MATHCrossRefGoogle Scholar
- Arenas-Parra M, Bilbao-Terol A, Rodriguez Uria MV (2001) A fuzzy goal programming approach to portfolio selection. Eur J Oper Res 133:287–297. doi: 10.1016/S0377-2217(00)00298-8 MATHMathSciNetCrossRefGoogle Scholar
- Artikis GP (2004) Performance evaluation of the bond mutual funds operating in Greece. Manag Financ 30(10):1–13. doi: 10.1108/03074350410769326 Google Scholar
- Babalos V, Caporale GM, Philippas N (2012a) Efficiency evaluation of Greek equity funds. Res Int Bus Financ 26:317–333. doi: 10.1016/j.ribaf.2012.01.003 CrossRefGoogle Scholar
- Babalos V, Philippas N, Doumpos M, Zopounidis C (2012b) Mutual fund performance appraisal using stochastic multicriteria acceptability analysis. Appl Math and Comput 218:5693–5703. doi: 10.1016/j.amc.2011.11.066 MATHMathSciNetCrossRefGoogle Scholar
- Ballestero E, Romero C (1996) Portfolio selection: a compromise programming solution. J Oper Res Soc 47:1377–1386. doi: 10.1057/jors.1996.173 MATHCrossRefGoogle Scholar
- Brown SJ, Goetzmann WN (1995) Performance persistence. J Financ 50(2):679–698. doi: 10.1111/j.1540-6261.1995.tb04800.x CrossRefGoogle Scholar
- Chen LH, Huang L (2009) Portfolio optimization of equity mutual funds with fuzzy returns rates and risks. Expert Syst Appl 36:3720–3727. doi: 10.1016/j.eswa.2008.02.027 CrossRefGoogle Scholar
- Davies RJ, Kat HM, Lu S (2009) Fund of hedge funds portfolio selection: a multiple-objective approach. J Deriv Hedge Funds 15(2):91–115. doi: 10.1057/jdhf.2009.1 CrossRefGoogle Scholar
- Gladish BP, Jones DF, Tamiz M, Terol AB (2007) An interactive three-stage model for mutual funds portfolio selection. OMEGA 35:75–88. doi: 10.1016/j.omega.2005.04.003 CrossRefGoogle Scholar
- Goetzmann WN, Ibbotson RG (1994) Do winners repeat? Patterns in mutual fund performance. J Portf Manag 20:9–18. doi: 10.3905/jpm.1994.9 CrossRefGoogle Scholar
- Gruber MJ (1996) Another puzzle: the growth in actively managed mutual funds. J Financ 51:783–810. doi: 10.1111/j.1540-6261.1996.tb02707.x CrossRefGoogle Scholar
- Hendricks D, Patel J, Zeckhauser R (1993) Hot hands in mutual funds: short-Run Persistence of Relative Performance, 1974-1988. J Financ 48(1):93–130. doi: 10.1111/j.1540-6261.1993.tb04703.x CrossRefGoogle Scholar
- Jensen CM (1969) Risk, the pricing of capital assets, and evaluations of investment portfolios. J Bus 42:167–247CrossRefGoogle Scholar
- Joo Oh K, Yoon Kim T, Min S (2005) Using genetic algorithm to support portfolio optimization for index fund management. Expert Syst Appl 8:371–379. doi: 10.1016/j.eswa.2004.10.014 Google Scholar
- Kahn RN, Rudd A (1995) Does historical performance predict future performance. Financ Anal J 51(6):43–53CrossRefGoogle Scholar
- Kakas A, Moraitis P (2003) Argumentation based decision making for autonomous agents. In: Proceedings of the second international joint conference on autonomous agents and multi-agent systems (AAMAS’03). ACM Press, New York, pp 883–890. doi: 10.1145/860575.860717
- Lee Sang M, Lerro AJ (1973) Optimizing the portfolio selection for mutual funds. J Financ 28(5):1087–1101. doi: 10.1111/j.1540-6261.1973.tb01443.x CrossRefGoogle Scholar
- Malkiel BG (1995) Returns from investing in equity mutual funds 1971 to 1991. J Financ 50(2):549–572. doi: 10.1111/j.1540-6261.1995.tb04795.x CrossRefGoogle Scholar
- Markowitz HM (1952) Portfolio selection. J Financ 7(1):77–99Google Scholar
- Markowitz HM (1959) Portfolio selection: efficient diversification of investments. Wiley, New YorkGoogle Scholar
- Milonas N (1999) Greek mutual funds. Hellenic Bank Association and Sakoulas Editions, Athens (in Greek)Google Scholar
- Pendaraki K (2012) Mutual fund performance evaluation using data envelopment analysis with higher moments. J Appl Financ Bank 2(5):97–112Google Scholar
- Pendaraki K, Spanoudakis NI (2012) An interactive tool for mutual funds portfolio composition using argumentation. J Bus Econ Financ 1(3):33–51Google Scholar
- Pendaraki K, Doumpos M, Zopounidis C (2003) Assessing equity funds’ performance using a multicriteria methodology: a comparative analysis. South East Eur J Econ 1:85–104Google Scholar
- Pendaraki K, Doumpos M, Zopounidis C (2004) Towards a goal programming methodology for constructing equity mutual funds portfolios. J Asset Manag 4(6):415–428. doi: 10.1057/palgrave.jam.2240120 CrossRefGoogle Scholar
- Pendaraki K, Zopounidis C, Doumpos M (2005) A multicriteria methodology and an application to the Greek market of equity mutual funds. Eur J Oper Res 163:462–481. doi: 10.1016/j.ejor.2003.10.022 MATHCrossRefGoogle Scholar
- Philippas ND (1999) Mutual funds and stock exchange environment. Globus Invest, Athens (in Greek)Google Scholar
- Rahwan I, Moraïtis P, Reed C (2005) Argumentation in multi-agent systems. Springer, BerlinMATHCrossRefGoogle Scholar
- Sharma HP, Sharma DK (2006) A multi-objective decision making approach for mutual fund portfolio. J Bus Econ Res 4(6):13–23Google Scholar
- Sharpe WF (1966) Mutual fund performance. J Bus 39:119–138CrossRefGoogle Scholar
- Sharpe WF (1967) A linear programming algorithm for a mutual fund portfolio selection. Manag Sci 13:499–510CrossRefGoogle Scholar
- Sorros JN (2003) Return and risk analysis: a case study in equity mutual funds operating in the Greek financial market. Manag Financ 29(9):21–28. doi: 10.1108/03074350310768454 Google Scholar
- Spanoudakis N, Pendaraki K, Beligiannis G (2009) Portfolio construction using argumentation and hybrid evolutionary forecasting algorithms. Int J Hybrid Intell Syst 6(4):231–243. doi: 10.3233/HIS-2009-0098
- Spronk J, Steuer RE, Zopounidis C (2005) Multicriteria decision aid/analysis in finance. In: Figueira J, Greco S, Ehrgott M (eds) Multiple decision analysis: state of the art surveys. Springer, Boston, pp 799–858Google Scholar
- Steuer RA, Na P (2003) Multiple criteria decision making combined with finance: a categorized bibliographic study. Eur J Oper Res 250:496–515. doi: 10.1016/S0377-2217(02)00774-9 CrossRefGoogle Scholar
- Subramanian V, Hung MS, Hu MY (1993) An experimental evaluation of neural networks for classification. Comput Oper Res 20(7):769–782. doi: 10.1016/0305-0548(93)90063-O MATHCrossRefGoogle Scholar
- Treynor JL (1965) How to rate management of investment funds. Harv Bus Rev 43:63–75Google Scholar
- Vicente L, Ferruz L (2005) Performance persistence in Spanish equity funds. Appl Financ Econ 15:1305–1313. doi: 10.1080/09603100500389697 CrossRefGoogle Scholar
- Vidal-García J (2013) The persistence of European mutual fund performance. Res Int Bus Financ 28:45–67. doi: 10.1016/j.ribaf.2012.09.004 CrossRefGoogle Scholar
- Xidonas P, Mavrotas G, Psarras J (2009) A multicritera methodology for equity selection using finical analysis. Comput Per Res 36(12):3187–3203. doi: 10.1016/j.cor.2009.02.009 MATHCrossRefGoogle Scholar
- Zopounidis C (1999) Multicriteria decision aid in financial management. Eur J Oper Res 119:404–415. doi: 10.1016/S0377-2217(99)00142-3 CrossRefGoogle Scholar
- Zopounidis C, Doumpos M (2002) Multicriteria classification and sorting methods: a literature review. Eur J Oper Res 138:229–246. doi: 10.1016/S0377-2217(01)00243-0 MATHMathSciNetCrossRefGoogle Scholar
- Zopounidis C, Doumpos M (2013) Multicriteria decision systems for financial problems. Sociedad de Estadística e Investigación Operativa 21:241–261. doi: 10.1007/s11750-013-0279-7 MATHMathSciNetGoogle Scholar