In the course of their activities, almost every business entity faces the problem of lack of own funds. This problem is especially acute in the agricultural sector. The constraining factor in the development of bank lending to agricultural enterprises, as always, is the high cost of credit resources and significant collateral requirements, which are often not enough to cover the credit obligations of borrowers. The purpose of the article is to analyze the current state of lending to agricultural enterprises in Ukraine and to substantiate the modern instruments of financial support of crediting of agrarian sphere. The authors conducted a comparative analysis of the efficiency of agricultural enterprises, depending on their size; the structure of financial resources is analyzed and the dependence on external sources of financing is proved; an assessment of the dynamics of the volume of credit investments in the agricultural sector. Study results show that the price factor has a negative impact on the formation of credit relations of agricultural enterprises with banking institutions. According to the authors, the promising instruments of financial support for lending to agricultural enterprises include programs of cooperation with international financial organizations, including the European Investment Bank and the German-Ukrainian Fund. It was established that in Ukraine agricultural enterprises are given ample opportunities to attract credit resources. In order to intensify the lending process, it is important to continue the process of improving the mechanism of forming the value of credit resources and to start work on solving the problematic issues of securing credit obligations by agricultural enterprises. On the other hand, agricultural enterprises must work to increase their own investment attractiveness – to form a positive image; to maintain the financial stability of enterprises at the appropriate level; to develop the organizational and financial culture of the enterprise; increase production efficiency; to improve methodological approaches to drawing up business plans taking into account the requirements of international financial organizations, etc.

The article deals with the complex indicative forecasting of agricultural insurance parameters, which have approximate empirical dependences of variables and provide approximation of actuarial calculations of the franchise, in order to optimize the rates of insurance compensation for losses in agricultural production. The tools for minimizing the risks of agricultural production are substantiated. The typology of instruments for regulating the risks of agricultural production by transferring their risk distribution in the institutional environment and market infrastructure is studied. It is proved that vertical integration has a positive effect of compensation for losses of agricultural production, taking into account alternative diversification combinations with actual variables and the occurrence of a certain insurance event. Multicriteria optimization of the parameters of partial distribution of risks of agricultural production, which simultaneously provide the maximum possible value of the expected return with a minimum value of the risk of the portfolio of assets of agricultural enterprises, is fulfilled. The utility function for accidental consequences in agricultural insurance is substantiated, as it guarantees the effective indicator of income at variable values of uncertainty. Approximate empirical dependences of variables are determined, which provide approximation of actuarial calculations of the franchise, in order to optimize the rates of insurance indemnity in agricultural production. Models of indicative forecasting of optimal parameters of agricultural insurance on the market of agricultural products of Ukraine on insurance payments and insurance premiums, which have a decreasing function, have been developed; insured sum and franchise have dynamic fluctuations.

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The article discusses empirical calculations of sustainable development and volatility of derivative financial instruments in the banking system. The methodical approach to forecasting the index of the first stock trading system (FSTS) for sustainable market development is presented, considering the lack of normal distribution of financial resources in the banking system. It is substantiated that when choosing the volatility model and setting the option price, it is important to consider the theoretical generality and composition of the volatility structure, which is able to effectively and accurately estimate the parameters. It is proved that the rate of average volatility variable for modeling, analysis and stable assessment of important market parameters (i.e., local volatility) is determined using the moments of past periods. The real and forecast value of FSTS volatility at different values of the model parameter is developed. A model of implied volatility for the FSTS index is built. It is substantiated that the formulation of stable market development of derivative financial instruments takes into account all its semantic and financial features of resisting the influence of external and internal factors (shocks, imbalances) and maintaining dynamic equilibrium to ensure parameters of the entire financial system needed to form positive feedback between financial and real sector of the economy. The ratio of world GDP and the nominal value of derivative financial instruments were estimated. Maps of the market value of over-the-counter DFI, gross risk exposure in the over-the-counter DFI market and the nominal value of exchange-traded PFI are presented. The factor models of influence on the development of the exchange-traded and over-the-counter PFI market of world and national levels are constructed.

The purpose of the article is to implement a comprehensive approach to assessing the relationship between marketing of banking innovations and financial stability of banking institutions, which under the influence of digital technology determine the innovative capabilities of the banking system, activating the innovation potential of the financial market. The article presents a structural and functional model of the relationship between the priority areas of the “blue oceans” and the signs of evaluation of marketing of banking innovations. An integrated assessment of the relationship between the innovation components of the marketing complex of banking innovations and the financial stability of banking institutions of Ukraine is determined.