The convergence processes in the financial market have led to the emergence and development of new forms of interaction between the stock market, the insurance market and the banking sector. One of the main areas of convergence of the financial market segments is the use of securitization mechanism for refinancing of bank assets and liabilities of insurance companies under the contracts of catastrophic risks insurance. The paper conducts a comparative analysis of the two principal forms of securitization, studies the current level of securitization development in Ukraine and assesses the potential of the domestic stock market as one of the main growth factors for the securitization of banking assets and insurance liabilities.

This paper is devoted to the problems of using insurance principles in the system of social insurance on the basis of social risks concept. The authors examine distinctions between private social risks insurance and social insurance. Subsidized financing within the social insurance is considered as the main manifestation of insurance principles’ violation.

The article offers to substantiate the peculiarities of formation of the “risk” category during the realization of reinsurance operations by using the instruments of economic and mathematical modeling. The identification of the “risk” category involves the consideration and complex representation of three components: the possibility of insured accident, the measure of variability of obtained results, the degree of deviation from the desired result.

The article presents analytical data regarding the influence of the global financial crisis on the activity of the insurance market of some countries. Special attention is given to the dynamics in the development of the insurance market of Ukraine, problems and perspectives of Ukrainian insurance market.

The article studies the modeling and optimization of the main parameters in the functioning of reinsurance companies based on the analysis of operational and marketing strategies of their behavior on the reinsurance market. It offers to maximize the function of a reinsurance company’s profitability by determining the optimal quantity of reinsurances of a certain risk as a result of the Karno and Stackelberg models’ adaptation to the reinsurance market. This approach studies models with and without consideration of the competitors’ behavior on the market as well as their different combinations.