The proposed approach to quantitative assessment of the risk of investor’s profit in projects for the production of raw materials for bioethanol involves the implementation of eight stages. It systematically takes into account the stochastic nature of many factors that determine the amount of investments in the project, as well as the stochastic nature of the market value of raw materials. The use of the proposed approach makes it possible to obtain an accurate assessment of the level of risk of investors in projects for the production of raw materials for bioethanol, taking into account the requirements of investors. Based on the use of the developed application software, stochastic models of profit of investors in projects for the production of raw materials for wheat bioethanol and patterns of changes in their risk for the Western region of Ukraine are obtained. It is established that with the growth of the minimum expected profit of investors of projects from 10 to 70$/ton, the probability of its receipt varies from 0.89 to 0.34. According to a reasonable scale, the level of risk of making a profit by investors in projects for the production of raw materials for bioethanol from wheat varies from acceptable to high.

Industry 4.0 is the digital transformation of business processes. In the process of modernization of the enterprise in question, a new production factor is gradually replacing the previous production factor. At the same time, the value of the output of the old production decreases to zero, and the limit value of the output of the new production is steadily increasing. The production functions for each production component and the enterprise as a whole, based on the results of a numerical solution of the Cauchy problem, which describe the process of replacing one production enterprise with another, are proposed.

The areas of application of mathematical and statistical methods for determining the prognostic model of rural development on the example of all Ukraine taking into account the economic, social and environmental component are explored in this article. Econometric modelling is the basis of the research methodology in this work. As a tool for analysis, a specific system of evaluation of selected indicators and their correlation and regression processing is applied. The results showed that the most influential factors for the level of development of rural territories of Ukraine are ten among the 60 indicators, grouped by the three components. They characterize the economic, social and environmental component and determine some impact on the functioning of the country's territorial system as a whole. The mathematical expression of the prognostic model of rural development is established using the regression analysis. A set of measures for regulation of rural development is developed on the basis of these results, which envisages the implementation of measures in the areas of software, normative and legal support. It is expected that this study will help public authorities make more effective decisions on addressing key issues of social and economic processes in rural areas of individual regions, Ukraine as a whole and other countries.

The system of foresight methods is most often used to solve research problems that are distinguished from the continuity of historical chronology. The aim of our study is to search for new approaches to measuring, assessing and forecasting the economic and financial potential of the agricultural sector, in order to develop an adequate public administration strategy. We have set the task to answer what effect this trend will have for the agricultural sector and the economy of Ukraine in the coming years. We used normative-system analysis - an approach that allows to identify measures that stimulate or limit the implementation of a particular scenario for a particular research subject. This method is aimed at formulating policies and foresight strategies, which are implemented by calculating the financial potential of the agricultural industry. The basis of the research was the hypothesis that the financial potential of the macro level should be analyzed according to the current foresight strategy method, which involves (i) identifying the object of forecasting (agrarian sector), (ii) determining the essential conditions (targets that the financial potential for sustainable development should correspond to), (iii) scanning the environment (what resources and types of potential are related to financial), and (v) identifying alternatives and possible future scenarios (building a balance sheet of financial resources). The results of the statistical analysis suggested that the main determinants of the financial potential are:  the volumes, structure, and proportions of reproduction. Furthermore, the efficiency and strength of financial potential are compared with the main macroeconomic indicators of rural development. The results revealed that the necessity of state regulation of financial flows connected with the agrarian sector is substantiated by monitoring the process of forming financial flows in a number of key parameters with the aim of observing the equivalence of all management forms to financial resources. This research contributes to the previous literature on Ukraine context, where we proposed ways to improve the quality of financial potential, the conditions for its formation and distribution and redistribution in accordance with the National Concept for the Development of the Agrarian Sector (2015). Additionally, this research will pave the way for the adaptation of foreign experience, including international comparisons of financial flows and state support.

In the course of the study, it was found that crowdfunding companies follow a certain stage in their functioning and development: choosing a platform; category selection; the wording of the crowdfunding campaign; definition of a financial goal; determination of the project duration; definition of a reward system; creating a video message; description of the project; regular updates; monitoring the fundraising process. By conducting research on the international market, it was found that with a market size of $ 358.28 billion and a share of 85.99%, China is the largest crowdfunding market in the world. Also, it should be noted the Asia-Pacific region, as Australia took 4th place with funding of $ 1.49 billion, and South Korea - 5th place with $ 1.13 billion, we also find other countries in the Asia-Pacific region in the list of the largest crowdfunding countries in the world. The results of our study concluded that there are many players in crowdfunding in Europe, especially in the field of P2P lending, compared with the Americas and the Asia-Pacific region, as a whole it is a small region. The article also notes the advantages and disadvantages of the crowdfunding development in modern conditions of market functioning.