Purpose. To create management algorithms for the enterprise's capital structure and mathematical formalization of optimization of this structure. To investigate the dynamics of changes in the share of profitable enterprises to assess, analyze and forecast changes in the capital structure of homogeneous groups of enterprises. Methodology. Both empirical and theoretical methods of cognition are used to conduct the research. Methods of scientific observation and comparison are used to form the topic of scientific work, goals and objectives of the study. Methods of analysis and synthesis, induction and deduction, abstraction are used to determine the essential features of capital structure management. Methods of system structuring and modeling are used to create a mathematical model. The analogy method is used to find the weight factor of the objective function. The axiomatic method and the method of convergence from the abstract to the concrete were used for the practical application of the mathematical model, in particular, to analyze the dynamic index of related companies, stratified by size, industry, and so on. Findings. The dynamics of the preconditions for changing the capital structure is studied, the regularities of this change for groups of homogeneous enterprises are revealed. The uneven influence of the crisis on the approaches to the formation of capital structure in groups of homogeneous enterprises is revealed, and the reasons for this are investigated. The similarity of tendencies of formation of capital structure in groups of inhomogeneous enterprises is pointed out. A correlation was found between the decrease in the share of equity and a significant prevalence of external borrowing with an increase in net loss. Moreover, it is established that enterprises, whose total amount of equity and current liabilities is stable and comparable in size with external borrowing, show a decrease in losses. Originality. Algorithms for capital structure management and a mathematical model for optimizing capital structure are proposed. A method of comparative analysis of changes in capital structure for homogeneous groups of enterprises has been introduced, which provides an opportunity to assess the impact of external risks and crisis factors in the past and predict the necessary changes in capital structure during both the new crisis and after the crisis. Practical value. The developed algorithms and mathematical model can be used in research and management practice to manage capital structure. Useful for different categories of professionals are approaches to the analysis of capital structure, the results of the analysis of the causes of change, the study on trends and their consequences for homogeneous enterprises.

• Багацька Катерина Володимирівна (економічні науки)
• Сілакова Ганна Віталіївна (економічні науки)
• Климаш Наталія Іванівна (економічні науки)

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