Mathematical modeling of state support of investment process

Abstract

Abstract-In this article, the mathematical model of the state support of investments is analyzed. The target function represents the maximal tax budgetary payments; the system of restrictions consists of linear and nonlinear functions, which corresponds to normative data. The maximal tax efficiency portfolio is generated by the principle of Pareto. The relevance of the proposed model follows from the current development of Russia and the situation on the international financial markets. In this regard, mechanisms and models are needed to assess the effectiveness of the funds invested by the state. The author proposes and analyzes a mathematical model of state support for investments. The target functional is the maximum tax budget allocations, the system of restrictions -linear and nonlinear functions, corresponding to regulatory data. It is proved that the formulated problem is a convex programming problem. According to the Pareto principle, an optimal set of basic criteria characterizing the financial stability of the investment project is determined. The portfolio is formed by the criterion of maximum tax efficiency. To solve the problems of assessing the effectiveness of investment projects today, there is a wide range of instrumental methods. Thus, using the mathematical model of state support for investments, the state obtains a mechanism to increase the efficiency of its activities, to support the modernization and technical re-equipment of enterprises in the most painless ways without losing its independence, and also to predict the consequences of its actions on the monetary policy being implemented.