In this article, the creation of an economic-mathematical model of the risk assessment of the enterprise's innovative activity in the oil and gas industry was considered. Total capital investment in the oil and gas industry in 2005-2022, investments focused on fixed capital, dependencies between the value of industrial products and added value were evaluated using the EViews-12 standard software package. It has been determined that the increase in innovation costs leads to an increase in the added value of the oil and gas industry. By using linear programming problems and creating an economic-mathematical model of risk assessment of the enterprise's innovative activity, the essence of rewarding risks in the formation of the optimal innovation plan was analyzed. As a result of the conducted studies, it was found that, considering the risk factor, the actual returns of investments in innovation projects within the oil and gas industry should exceed the standard returns. Also, the optimal investment limit for the purchase of machinery and equipment for innovative activity, the installation of purchased fixed assets (funds) and the construction of fixed assets (funds) based on innovative technologies, using real results and according to the model proposed for «Oil and Gas Construction» of SOCAR the enterprise is defined. The application of the proposed economic-mathematical modeling for the assessment of the risks of the enterprise's innovative activity in the oil and gas industry allows for a comprehensive analysis of the risks identified during the period under review. Keywords: innovation; investments; risk; capital investments; assessment; correlation; regression; elasticity coefficient; linear programming; economic- mathematical model.
Mammadov et al. (Mon,) studied this question.