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Abstract

Abstract. Introduction. The article considers empirical calculations of sustainable of the development of de-rivative financial instruments in the banking system. Purpose. The calculations of forecasting the index of the first stock trading system (FSTS) for sustainable market development is presented, taking into account the lack of normal distribution of fi-nancial resources in the banking system. Purpose. The purpose of the study is to carry out empirical calculations and forecast the index of the first stock trading system (PFTS) for the sustainable development of the market in view of the lack of normal distribution of financial resources in the banking system. Results. It is substantiated that when choosing the model and setting the option price, it is nec-essary to take into account the theoretical generality and composition of the efficiency estimate the parameters. It is proved that the rate of average variable for efficiency es-timate the parameters in the modeling, analysis of stableof important market parame-ters 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 sustainable development of the market 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 the parameters of the entire financial system needed to form positive feedback be-tween financial and real sector of the economy. The ratio of the nominal value of de-rivative financial instruments and world GDP was estimated. Conclusions. 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 exchangetraded and over-the-counter PFI market of world and national levels are constructed.