Abstract
Many approaches have been designed to solve a stock portfolio selection problem. The aim of this paper is to provide a complex supporting tool for a portfolio selection. So, the problem is seen as a multi-objective one. People tend to settle for a reasonably satisfactory rather than an optimal solution which is provided by the existing methods. That means they substitute the goal of reaching specified aspiration levels for the goal of maximization. Developed Aspiration Level-Oriented procedure (ALOP) is based on searching a linear decision space and current solutions are sought by means of an interactive goal programming approach. Such a procedure has significant advantages for investment decision making. The decision space is searched by changes of aspiration levels using problem-solving approaches. Moreover, the approach can be combined with a weight model of preferences. The power of the developed method is demonstrated on a real investment portfolio making on the RM-SYSTEM Czech stock exchange. A stock portfolio process is performed for two most typical investment strategies-dividend-oriented and capital-oriented investor. The essential criteria (objectives) are determined, as well as their importance (according to the investor’s preferences). After a decision making procedure, their resulting portfolios are analysed and compared.
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References
Abdelaziz FB, Aouni B, El Fayedh R (2007) Multi-objective stochastic programming for portfolio selection. Eur J Oper Res 177:1811–1823
Alexander GJ, Sharpe WF (1989) Fundamentals of investments. Prentice Hall Inc, New Jersey
Ballestero E (2001) Stochastic goal programming: a mean-variance approach. Eur J Oper Res 131:476–481
Costa CAB, Soares JO (2004) A multicriteria model for portfolio management. Eur J Finance 10:198–211
Denardo EV (2003) Dynamic programming: models and applications. Dover Publications, New York
Ehrgott M, Gandibleux X (eds) (2002) Multiple criteria optimization: state of the art annotated bibliographic surveys. Springer, Berlin
Everitt B (1998) The Cambridge dictionary of statistics. Cambridge University Press, Cambridge
Fiala P (1997) Models of cooperative decision making. In: Gal T, Fandel G (eds) Multiple criteria decision making. Springer, Berlin, pp 128–136
Fiala P (2013) Models and methods of decision making (in Czech). Oeconomica, Prague
Fio bank (2018) Stock dividends. Fio bank web. http://www.fio.cz/zpravodajstvi/dividendy. Accessed 10 Oct 2018
Graham B, Dodd D (2008) Security analysis. McGraw-Hill Education, Columbus
Ignizio JP (1976) Goal programming and extensions. Lexington Books, Lexington
Kara G, Özmen A, Weber GW (2019) Stability advances in robust portfolio optimization under parallelepiped uncertainty. Cent Eur J Oper Res 27:241–261
Keeney RL, Raiffa H (1993) Decisions with multiple objectives: preferences and value trade-offs. Cambridge University Press, Cambridge
Konno H, Yamazaki H (1991) Mean-absolute deviation portfolio optimization and its applications to Tokyo stock market. J Manag Sci 37:519–531
Le BG (1897) The crowd: study of the popular mind. Macmillan, New York
Levy H (1999) Introduction to investments. International Thomson Publishing, Cincinnati
Markowitz HM (1952) Portfolio selection. J Sci 7:77–91
Markowitz HM (1959) Portfolio selection: efficient diversification of investments. Wiley, New York
Marler RT, Arora JS (2010) The weighted sum method for multi-objective optimization: new insights. Struct Multidiscip O 41:853–862
Miettinen K, Mäkelä MM (2006) Synchronous approach in interactive multiobjective optimization. Eur J Oper Res 170:909–922
Miettinen K, Ruiz F, Wierzbicki AP (2008) Introduction to multiobjective optimization: interactive approaches. In: Branke J, Deb K, Miettinen K, Słowiński R (eds) Multiobjective optimization: interactive and evolutionary approaches. Lecture notes in computer science 5252. Springer, New York, pp 27–57
Miraslebl (2018) Stock dividends. Miraslebl web. http://www.miras.cz/akcie/dividendy.php. Accessed 10 Oct 2018
Mueller-Gritschneder D, Graeb H, Schlichtmann U (2009) A successive approach to compute the bounded Pareto front of practical multiobjective optimization problems. Siam J Optim 20:915–934
Murphy JJ (1999) Technical analysis of the financial markets: a comprehensive guide to trading methods and applications. New York Institute of Finance, New York
Nilsson NJ (1971) Problem-solving methods in artificial intelligence. McGraw-Hill, New York
Ojha AK, Biswal KK (2009) Lexicographic multi-objective geometric programming problems. Int J Com Sci 6:20–24
Patria online (2018) Stock prices. Patria Online web. http://www.patria.cz/akcie/online/cz.html. Accessed 10 Oct 2018
Pekár J, Čičková Z, Brezina I (2016) Portfolio performance measurement using differential evolution. Cent Eur J Oper Res 24:421–433
Pomerol JC, Trabelsi T (1987) An adaptation of PRIAM to multiobjective linear programming. Eur J Oper Res 31:335–341
RM-SYSTEM (2018a) Basic information. RM-SYSTEM web. https://www.rmsystem.cz/spolecnost/zakladni-informace. Accessed 1 Dec 2018
RM-SYSTEM (2018b) Stock prices. RM-SYSTEM web. http://www.rmsystem.cz/kurzy-online/akcie/easyclick. Accessed 10 Oct 2018
Saaty TL (1980) The analytic hierarchy process. McGraw-Hill, New York
Schniederjans M (2012) Goal programming: methodology and applications. Springer, New York
Sharma HP, Sharma DK (2005) A multi-objective decision-making approach for mutual fund portfolio. J Int Bus Econ Res 3:13–24
Sharma HP, Ghosh D, Sharma DK (2007) Credit union portfolio management: an application of goal interval programming. Acad Banking Stud J 6:39–60
Sharpe F (1981) Investments. Prentice Hall Inc, New Jersey
Shing C, Nagasawa H (1999) Interactive decision system in stochastic multi-objective portfolio selection. Int J Prod Econ 60–61:187–193
Steuer RE (1986) Multiple criteria optimization: theory, computation, and applications. Wiley, New York
Tamiz M, Jones D (1995) A review of goal programming and its applications. Ann Oper Res 58:39–53
Tamiz M, Hasham R, Jones DF, Hesni B, Fargher EK (1996) A two staged goal programming model for portfolio selection. In: Tamiz M (ed) Lecture notes in economics and mathematical systems 432. Springer, Berlin, Heidelberg, pp 286–299
Wilmott P (2007) Paul Wilmott introduces quantitative finance. Wiley, Chichester
Zopounidis C, Pardalos PM (eds) (2010) Handbook of multicriteria analysis. Springer, Berlin
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The research project was processed with contribution of long term institutional support of research activities by Faculty of Informatics and Statistics, Prague University of Economics and Business, Czech Republic and by the grant IGA F4/42/2021, Faculty of Informatics and Statistics, Prague University of Economics and Business.
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Fiala, P., Borovička, A. Stock portfolio selection using aspiration level-oriented procedure: real case on the RM-SYSTEM Czech stock exchange. Cent Eur J Oper Res 30, 781–805 (2022). https://doi.org/10.1007/s10100-020-00731-4
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DOI: https://doi.org/10.1007/s10100-020-00731-4