Mathematical model of financial dynamics of an insurance company

Authors

DOI:

https://doi.org/10.17721/1812-5409.2022/3.3

Keywords:

reserves, dynamics of reserves, accumulative insurance contract, net premiums, reserve, prospective method, life insurance, investment, insurance contracts portfolio, PnL, net profit

Abstract

This paper is devoted to the construction of a mathematical model of financial dynamics of life insurance company. The methods of calculating insurance amounts, payments, net premium reserve are studied, their generalization is carried out taking into account various types of insurer's expenses for ensuring the activities of the insurance company, the sensitivity of the financial dynamics of the insurance company depending on the input parameters of the model is analyzed. The results of the work are of great practical importance for modeling the work of the insurance company, because the National Bank of Ukraine implements mandatory monitoring of the solvency of the insurance company on the basis of the insurer's reporting data.

Pages of the article in the issue: 28 - 36

Language of the article: Ukrainian

References

The Law of Ukraine (Document 85/96-ВР, dated 07.03.1996) "On Insurance"

The Law of Ukraine (Document 2664-III, dated 12.07.2001) "On Financial Services and State Regulation of Financial Service Markets".

On approval of amendments to the Rules for the formation of accounting and placement of insurance reserves by types of insurance other than life dated 14.12.2005: Order of the State Commission for Regulation of Financial Services Markets No. 5117.

On approval of the Methodology for the formation of reserves for life insurance of the FSR; Order, Methodology dated 27.01.2004 No. 24.

REVERCHUK S., SYVA T., KUBIV S., VOVCHAK O. (2005) History of Insurance, Kyiv.: "Znannia", pp. 213.

OSADETS S., (2006) Insurance, Kyiv: KNEU - pp 528.

BOIKO A., (2010) Theoretical foundations and practical experience in ensuring the financial stability of the insurance company. Economic Sciences. Series "Accounting and Finance": a collection of scientific works. № 7 (25). Ch. 4. pp. 36–50.

TKACHENKO N., (2011) Financial stability of insurance companies (assessment methodology and collateral mechanisms): dis. ... doc. econ. Sciences: special. 08.00.08 - money, finance and credit. Sumy, pp. 418.

HAMANKOVA O., (2007) Finance of insurance organizations: Textbook. posib. - KNEU. - pp. 328.

Collection of problems in actuarial mathematics for students of the Faculty of Mechanics, Mathematics and Economics / Compiled by A.Y. Olenko. – K.: Publishing and printing center "Kyiv University", 2005. – 67 p.

MISHURA Yu., SHEVCHENKO G., (2011) Mathematics of Finance, Kyiv, VPC Kyiv University. - 350 p.

ZUBCHENKO V., (2016) Mathematical Foundations of Life Insurance. Kyiv, VPC Kyiv University, p. 223.

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Published

2022-12-09

How to Cite

Zubchenko, V. P., & Tkachenko, A. V. (2022). Mathematical model of financial dynamics of an insurance company. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (3), 28–36. https://doi.org/10.17721/1812-5409.2022/3.3

Issue

Section

Algebra, Geometry and Probability Theory