Economic and mathematical methods for assessing and managing bank financial se-curity

Abstract

The paper analyzes economic and mathematical methods used in bank modelling, in-cluding statistical analysis, simulation modelling, optimization techniques, discrete process modelling, and probability-based risk models. These tools are applied for fi-nancial forecasting, stress testing, efficient resource allocation, and assessment of credit, liquidity, and market risks. The comprehensive use of such methods enables the formation of an integrated analytical system to support the management of a bank’s financial security. Their application improves scenario modelling, enhances adaptability to external and internal changes, and supports informed managerial deci-sion-making aimed at reducing critical financial risks and ensuring financial stability.