Abstract

Within the framework of this article, general issues of designing and managing a portfolio of financial instruments are considered, as well as several strategies for forming portfolios of financial instruments are described. Particular attention is paid to the use of quantitative characteristics of individual financial instruments and portfolio to make optimal decisions in the financial sector. Five problems are identified, the solution of which is aimed at improving the quality of portfolio analysis. In particular, the problem of choosing the method of forming a portfolio of financial instruments and matching the results obtained, the problem of the optimal combination of active and passive management of a portfolio of financial instruments" and the problem of quantifying the effectiveness of managing a portfolio of financial instruments using active and passive strategies. The basic mathematical models allowing to construct an optimal portfolio of financial instruments are presented and characterized. Among such models, the Markowitz model and the Black model should be noted, which have been widely spread and developed in the practice of financial decision-making. The connection of the issues of designing and managing a portfolio of financial instruments with the methodological aspects of teaching mathematical disciplines at the Higher School of Economics is established. Taking into account the presented methodological features of portfolio analysis as an element of the content of mathematical training of a future manager and economist contributes to the implementation of the principle of variability of higher education.

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