Diversification of Stock Portfolio Structure under Market Restrictions

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dc.contributor.authorOletsky, Oleksiy
dc.contributor.authorKulian, Victor
dc.contributor.authorKorobova, Maryna
dc.contributor.authorYunkova, Olena
dc.date.accessioned2024-09-16T07:28:15Z
dc.date.available2024-09-16T07:28:15Z
dc.date.issued2023
dc.description.abstractThis article describes the mathematical formulation of the problems of managing a portfolio of securities on the stock market. The problem of managing a stock portfolio is considered as a mathematical problem of optimal management. Mathematical statements are formulated for problems with two fixed ends of the trajectory and for one fixed and one free end of the trajectory. For the correct formulation of optimal management problems, mathematical models are describing the dynamics of the market value formation of one share and the portfolio are applied. The corresponding models are written in the class of ordinary differential equations with parameters. The procedure for building a dynamic model of the formation of the market value of one share is based on the application of the market model of W. Sharpe and the fundamental theory of H. Markowitz. The principles of H. Markowitz theory make it possible to determine the optimal values of the portfolio's expected profitability and riskiness when applying the procedure for building an optimal portfolio of risky securities. The application of optimal management theory methods in the optimization of the stock portfolio involves an iterative procedure for determining the optimal structure. The work also considers an important applied problem of applying the theory of H. Markowitz to solve the problem of optimal diversification of a portfolio of risky investments in the presence of restrictions that are formed by the stock market at each moment of time. The presence of market restrictions significantly affects the decision-making procedure regarding optimal portfolio diversification. This scientific study presents an algorithm for optimal diversification of a portfolio of risky securities in the presence of market restrictions.en_US
dc.identifier.citationDiversification of Stock Portfolio Structure under Market Restrictions / Oleksiy Oletsky, Victor Kulian, Maryna Korobova and Olena Yunkova // CEUR Workshop Proceedings. - 2023. - Vol. 3746. - P. 12-21.en_US
dc.identifier.issn1613-0073
dc.identifier.urihttps://ekmair.ukma.edu.ua/handle/123456789/31567
dc.language.isoenen_US
dc.relation.sourceCEUR Workshop Proceedingen_US
dc.statusfirst publisheduk_UA
dc.subjectportfolio optimizationen_US
dc.subjectmathematical control theoryen_US
dc.subjectportfolio diversificationen_US
dc.subjectconference materialsen_US
dc.titleDiversification of Stock Portfolio Structure under Market Restrictionsen_US
dc.typeConference materialsuk_UA
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