Modeling of interaction between shareholders and control bodies

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The article deals with the problem of organization of financial control procedures for the activities of a joint-stock company by the audit bodies. The development of effective verification mechanisms can significantly reduce the cost of conducting them and increase their effectiveness. One of the problems that arise in the study of such problems is the modeling of behavior of participants in the system of internal and external control. The solution of this problem is impossible without the use on a scientific basis of economic and mathematical models of financial control mechanisms, taking into account the economic relations of the subjects and the object of control, allowing to assess the costs of control and its effectiveness. The article examines the mechanism of interaction between shareholders and control bodies. Models describing this interaction have been developed, as well as the tasks of determining the vector of the planned task of inspections by control bodies have been formulated and solved. The parameters of the verification procedure are determined by the criterion of maximizing the economic effect of the center from conducting inspections by the control bodies. The model uses a multiplicative function of the economic effect of the center on the possession of information on each of the subjects of control. The members of the system are the audit commission, the board of directors and the audit organization. For each participant of the system, target functions are formulated, taking into account information about material remuneration and taking into account alternative income. The developed model is tested on numerical data on the cost of conducting inspections and on alternative income. The results of the calculations illustrate the behavior patterns of the system participants, in particular, the feasibility of paying the full cost of inspections by the center and the implementation of the inspection plan by the control bodies in the appropriate volume.

About the authors

Alina K. Davletova

Sterlitamak branch of the Bashkir State University

Author for correspondence.
Email: alina9008@inbox.ru
ORCID iD: 0000-0001-9798-6256

senior lecturer of the Department of Accounting and Audit

Russian Federation, 147, Gogol Street, Sterlitamak, Republic of Bashkortostan, 453100, Russian Federation.

Elena P. Rostova

Samara National Research University

Email: el_rostova@mail.ru
ORCID iD: 0000-0002-6432-6590

 кандидат экономических наук, доцент, доцент кафедры математических методов в экономике

Russian Federation, 34, Moskovskoye shosse, Samara, 443086, Russian Federation.

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