MULTI-CRITERIA OPTIMIZATION OJ THE REAL INVESTMENT PORTFOLIO STRUCTURE
Abstract
The article examines the optimization of the enterprise's investment policy, which is formed through the distribution of the enterprise's capital investments in the process of forming a portfolio of real investments. The description of three main types of "models" of this process is given, which are based on expert assessments, economic indicators and the distribution of the volume of capital investments. The first two types of models will be used mainly by practical managers to solve the task of setting project priorities. As for the models of distribution of capital investments, they are mainly the prerogative of systems researchers and will be used to solve the problem of optimal allocation of funds. In the review of studies on the issue of real investment portfolio optimization there are examples of the use of integer programming methods. As a rule, indicators of the efficiency of investment activities, factors of uncertainty and risks are considered as optimization criteria, taking into account market and social restrictions. The task of this study is to substantiate the choice of a mathematical model of the problem of optimizing a portfolio of real investments using a multi-criteria approach. Improvement of this process can be performed on the basis of the calculations of the control example. It is recommended to consider financial indicators taking into account the discounting of cash flows as performance indicators: net present value of the project, profitability index, internal rate of return. The overall efficiency of the investment portfolio is calculated as the sum of the net present value of the projects included in it. The system of performance indicators allows ranking investment projects according to their level of attractiveness, which makes it expedient to use a multi-criteria approach when forming a portfolio. An integer model of the optimal portfolio of real investments with a vector criterion for the maximum of the generalized additive value function of the system of project performance indicators is considered. Based on it, the calculations of the control example were performed.
References
Пушенко К.О. Управління реальними активами інвестиційного портфеля підприємства в умовах нестабільності. Ефективна економіка. 2010. № 5. URL: http://nbuv.gov.ua/UJRN/efek_2010_5_1
Гетьман О.М., Вакаров В.М., Сембер С.В. Оптимізація моделювання управління інвестиційним портфелем. Науковий вісник Ужгородського університету. Збірник наукових праць. 2012. Вип. 2 (36). С. 147–152.
Пенцак С.П. Чинники забезпечення інвестиційного розвитку підприємства. Ефективна економіка. 2011. № 10. URL: http://www.economy.nayka.com.ua/?op=1&z=734
Браун Р., Мэзон Р., Фламrольц Э. и др. Исследование операций: в 2-x томах. Пер. с англ. Под ред. Дж. Моудера, С. Элмаrраби. Т. 2. Модели и применения. Москва : Мир, 1981. 677 с.
Боярко І.М., Гриценко Л.Л. Інвестиційний аналіз : навч. посіб. Київ : Центр учбової літератури, 2011. 400 с.
Вовк В.М., Паславська І.М. Інвестування : навч. посібник. Львів : ЛНУ імені Івана Франка, 2011. 465 с.
Махуренко Г.С. Моделирование развития и производственной деятельности морского пароходства : дис.…докт. эк. наук.: 08.00.13. Одесса, 1990. 358 с.
Bazaluk, O., Zhykharieva, V., Vlasenko, O., Nitsenko, V., Streimikiene, D., & Balezentis, T. (2022) Optimization of the Equity in Formation of Investment Portfolio of a Shipping Company. Mathematics. 10. 363. DOI: https://doi.org/10.3390/math10030363
Zhykharieva Vlada, Kozyr Oleksandra. Methodical approach to complex investment analysis of cash flows on the example of the fleet replenishment project. Економіка та суспільство. 2022. № 43. DOI: https://doi.org/10.32782/2524-0072/2022-43-16
Васьків О.М. Модель оптимізації формування пакету інвестиційних проектів в умовах невизначеності. URL: https://financial.lnu.edu.ua/wp-content/uploads/2015/10
Chopra, Vijay K; Ziemba, William T. The effect of errors in means, variances, and covariances on optimal portfolio. Journal of Portfolio Management; Winter 1993; 19, 2; ABI/INFORM Globalpg. URL: https://www.researchgate.net/publication/308131692_The_Effect_of_Errors_in_Means_Variances_and_Covariances_on_Optimal_Portfolio_Choice
Стадник Ю.А., Жумік О.В. Багатокритеріальна оптимізація портфелю інвестиційних проєктів. Львівська державна фінансова академія. Науковий вісник НЛТУ України. 2012. Вип. 22.13. С. 376–381. URL: http://nbuv.gov.ua/UJRN/nvnltu_2012_22.13_65
Joaquín Pacheco, Lara Cepa, Silvia Casado, J. C. Puche. Selection of Investment Portfolios with Social Responsibility: A Multiobjective Model and a Tabu Search Method. URL: https://www.researchgate.net/publication/366733552_Selection_of_Investment_Portfolios_with_Social_Responsibility_A_Multiobjective_Model_and_a_Tabu_Search_Method
Cantini, Camillo Vianna. Portfolio Selection Incorporating Macroeconomic Views Using Black-Litterman Model / Camillo Vianna Cantini; advisor: Davi Michel Valladão; co-advisor: Betina Dodsworth Martins Froment Fernandes. – 2019. v., 39 f: il. color. ; 30 cm. URL: https://www.maxwell.vrac.puc-rio.br/51467/51467.PDF
Pushenko K.О. (2010) Upravlinnya realnymy aktyvamy investytsiynoho portfelya pidpryyemstva v umovakh nestabilnosti. Efektyvna ekonomika. № 5. URL: http://nbuv.gov.ua/UJRN/efek_2010_5_12 [in Ukrainian]
Getman O.M., Vakarov V.M., Sember S.V. (2012) Optimizatsiya modelyuvannya upravleniya investitsiynim portfelem. Naukovyy vestnik Uzhgorodskogo universiteta. Zbirnik naukovikh prats. № 2 (36). S. 147–152. [in Ukrainian]
Pentsak S.P. (2011) Chynnyky zabezpechennya investytsiynoho rozvytku pidpryyemstva. Efektyvna ekonomika. № 10. URL: http://www.economy.nayka.com.ua/?op=1&z=734 [in Ukrainian]
Braun R. Mêzon R. Flamgolts E. ta in. (1981) Issledovaniye operatsiy: v 2 t. / red. izd.: Mouder Dzh. Elmagrabi S. M.: Mir, 1981. T. 2: Modeli i primeneniya. 677 p. [in Russian]
Boyarko I.M., Hrytsenko L.L. (2011) Investytsiynyy analiz: navch. posib. Kyiv: Tsentr uchbovoyi literatury, 400 s. [in Ukrainian]
Vovk V.M., Paslavska I.M. (2011) Investuvannya: navch. posibnyk. Lviv: LNU imeni Ivana Franka, 465 s. [in Ukrainian]
Makhurenko G.S. (1990) Modelirovaniye razvitiya i proizvodstvennoy deyatelnosti morskogo parokhodstva: diss… dokt. ekonom. nauk: 08.00.13. Odessa, 358 s. [in Russian]
Bazaluk, O., Zhykharieva, V., Vlasenko, O., Nitsenko, V., Streimikiene, D., & Balezentis, T. (2022) Optimization of the Equity in Formation of Investment Portfolio of a Shipping Company. Mathematics. 10. 363. DOI: https://doi.org/10.3390/math10030363 [in Ukrainian]
Zhykharieva V., Kozyr O. (2022) Methodical approach to complex investment analysis of cash flows on the example of the fleet replenishment project. Ekonomika ta suspilstvo. № 43. DOI: https://doi.org/10.32782/2524-0072/2022-43-16
Vaskiv O.M. (2015) Model of optimizing the formation of a package of investment projects in the minds of innocence. URL: https://financial.lnu.edu.ua/wp-content/uploads/2015/10 [in Ukrainian].
Chopra, Vijay K; Ziemba, William T. (1993) The effect of errors in means, variances, and covariances on optimal portfoli. Journal of Portfolio Management; Winter 1993; 19, 2; ABI/INFORM Globalpg. 6. URL: https://www.researchgate.net/publication/308131692_The_Effect_of_Errors_in_Means_Variances_and_Covariances_on_Optimal_Portfolio_Choice
Stadnyk YU.A., Zhumik O.V. (2012) Bahatokryterialna optymizatsiya portfelyu investytsiynykh proektiv. Lvivska derzhavna finansova akademiya. Naukovyy visnyk NLTU Ukrayiny. № 22.13. S. 376–381. URL: http://nbuv.gov.ua/UJRN/nvnltu_2012_22.13_65 [in Ukrainian]
Joaquin Pacheco, Lara Cepa, Silvia Casado, J.C. Puche (2016) Selection of Investment Portfolios with Social Responsibility: A Multiobjective Model and a Tabu Search Method. URL: https://www.researchgate.net/publication/366733552_Selection_of_Investment_Portfolios_with_Social_Responsibility_A_Multiobjective_Model_and_a_Tabu_Search_Method
Cantini, Camillo Vianna (2019) Portfolio Selection Incorporating Macroeconomic Views Using Black-Litterman Model / Camillo Vianna Cantini; advisor: Davi Michel Valladão; co-advisor: Betina Dodsworth Martins Froment Fernandes. v., 39 f: il. color. ; 30 cm. URL: https://www.maxwell.vrac.puc-rio.br/51467/51467.PDF
This work is licensed under a Creative Commons Attribution 4.0 International License.