In a market economy, entrepreneurship requires large-scale innovations to maintain competitiveness and high rates of economic growth, and large investments are needed to implement innovations. However, in the process of their activities, investors face increased investment risk and therefore need reliable methods of investment evaluation and investment modeling of innovations in industrial enterprises. In this regard, the purpose of this study is to develop a conceptual model for assessing the investment attractiveness of innovative projects. The article builds a graphical model of investment in an innovative product at different stages of its life cycle. A conceptual structural and mathematical model for assessing the investment attractiveness of innovative projects of industrial enterprises has been developed, which reflected the stages of risk management, phases of the life cycle of the innovation project and the stages of the innovation process. The main idea of the proposed model is to manage investment in innovation based on the impact on the level of specific innovation risks.

This paper was retracted based on the authors' request due to errors in the computations.

The complexity and ambiguity of the contribution of foreign direct investment (FDI) to economic growth necessitates the development of recommendations for the analysis and management of foreign investment flows to maximize their positive impact on the economy and prevent negative consequences. In this regard, the aim of the study is to propose an economic and mathematical modeling of the foreign direct investment impact on economic growth and their interaction with domestic direct investment. The article proposes a classification of factors that determine the inflow of foreign direct investment to developed countries and developing countries. By introducing the external effect of foreign direct investment (capital repatriation), the authors modified the model with foreign direct investment in the form of accumulated foreign capital reserves. An analytical expression is obtained to relate the rate of economic growth to the amount of repatriation depending on the effects of supplementing and substituting foreign direct investment for foreign direct investment.

This paper was retracted based on the authors' request due to errors in the computations.