FORMATION OF A MATHEMATICAL MODEL OF RATIONAL FINANCING OF INVESTMENT PROJECTS

Abstract

The article attempts to study the role of risk management in the implementation of investment projects. The main purpose of the article is to identify the main patterns that determine the features of risk assessment in business as a key element contributing to the organization of investment projects. The research is based on methods of cognition, retrospective and documentary analysis, as well as synthesis, generalization and systematization of information. The article describes various types of investment and project risks, methods of risk analysis of investment projects, performance indicators of investment projects, as well as analysis of risk factors and uncertainties during the development of investment projects. The peculiarity of the application of risk analysis methods in the implementation of projects is considered. The methods of risk assessment of an investment project help to assess the feasibility of the project, the initial period of time after which it will generate income, as well as the probabilistic amount of future profit. This article establishes a model of income and risk in financial investments based on the theory of multi-purpose programming in order to analyze the relationship between risk and return on financial investments and discuss the relationship between the risk borne by the investor and the degree of decentralization of the investment project. The use of the presented mathematical model makes it possible to analyze the investor's future profitability at a fixed level of risk and minimized risk with a set benefit. This model assumes the choice of an optimal portfolio with a designated level of risk during the implementation of investment projects. This article analyzes the sensitivity of risk in the income model and suggests the optimal portfolio for an investor without special preferences. Calculations show that the created model is satisfactory for determining the optimal portfolio.