Features of modelling the components of the financial and economic stimulation system of the advanced technologies’ introduction of smart industrial development

The introduction of advanced technologies by the Industry 4.0 phase at national enterprises is in initial stages and requires economic support from state. system financial stimulation for smart-industrial development should combine monetary (monetary credit) fiscal (tax budget) incentives. To ensure validity optimality choice list such measures, it relevant to build scenarios industry using mathematical modelling tools that allow assessing impact identified incentives on overall growth indicators. An analysis models areas aimed studying performance enterprises, or economy States carried out. advantages disadvantages DCF, VAR GARCH are outlined, which, along with methods effectiveness individual CBA, ROI, NPV, etc., may require modification consider incentives, additional factors accumulation variables assess economy. Therefore, they labour-intensive solving outlined problems, but can be used intermediate calculations certain incentive areas. For components level, most appropriate general (Cobb-Douglas model, Solow AD-AS Samuelson-Hicks etc.). modified Cobb-Douglas taking into account digitalisation factor, reflects dependence production smart technologies, has a number over other technically convenient long-term calculations, which required industrial development. Promising research outlined.