Abstract
The article presents the economic and mathematical justification of the methods of managing the financial resources of a commercial bank, i.e. income assets and operating liabilities. The presented study in a logical sequence highlights: the general statement of the task, that is, the definition of the content and selection of vector values of financial flows; the task of managing the bank's financial resources; the economic-mathematical model representation of financial flows; an algorithm for implementing economic and mathematical modeling of the bank's financial flows. A brief analysis of the state of Ukraine's banking sector in 2022 was also carried out, focusing on a monitoring program creation for Ukraine by the IMF. Emphasis was placed on the expansion of the application of sectoral sanctions against the aggressor country, as well as, if necessary, on the state-owned banks capitalization by the state in order to increase their stability on the market.
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