Solvency Evaluation Model of Insurance Company Based on Stochastic Differential Equation

Solvency assessment is the core content of insurance supervision. In this paper, from the perspective of capital flow, the insurance company’s capital flow is regarded as a dynamic system, the stochastic differential equations model is established to describe its flow characteristics, and the existe...

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Main Authors: Kai Wang, Ling Zhu
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/5594619
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author Kai Wang
Ling Zhu
author_facet Kai Wang
Ling Zhu
author_sort Kai Wang
collection DOAJ
description Solvency assessment is the core content of insurance supervision. In this paper, from the perspective of capital flow, the insurance company’s capital flow is regarded as a dynamic system, the stochastic differential equations model is established to describe its flow characteristics, and the existence of positive equilibrium point of the system is proved, as well as the conditions of stability at equilibrium point, that is, the requirements of the insurance company’s solvency. Furthermore, by using the numerical simulation method, we get the strategy of insurance companies to deal with the solvency shortage when facing the change of external environment, and the strategy of insurance company to deal with solvency shortage is obtained.
format Article
id doaj-art-2619b09f62d64fec817635967adda1b6
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2021-01-01
publisher Wiley
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series Complexity
spelling doaj-art-2619b09f62d64fec817635967adda1b62025-02-03T06:43:45ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/55946195594619Solvency Evaluation Model of Insurance Company Based on Stochastic Differential EquationKai Wang0Ling Zhu1School of Science, Anhui Agricultural University, Hefei 230036, ChinaSchool of Science, Anhui Agricultural University, Hefei 230036, ChinaSolvency assessment is the core content of insurance supervision. In this paper, from the perspective of capital flow, the insurance company’s capital flow is regarded as a dynamic system, the stochastic differential equations model is established to describe its flow characteristics, and the existence of positive equilibrium point of the system is proved, as well as the conditions of stability at equilibrium point, that is, the requirements of the insurance company’s solvency. Furthermore, by using the numerical simulation method, we get the strategy of insurance companies to deal with the solvency shortage when facing the change of external environment, and the strategy of insurance company to deal with solvency shortage is obtained.http://dx.doi.org/10.1155/2021/5594619
spellingShingle Kai Wang
Ling Zhu
Solvency Evaluation Model of Insurance Company Based on Stochastic Differential Equation
Complexity
title Solvency Evaluation Model of Insurance Company Based on Stochastic Differential Equation
title_full Solvency Evaluation Model of Insurance Company Based on Stochastic Differential Equation
title_fullStr Solvency Evaluation Model of Insurance Company Based on Stochastic Differential Equation
title_full_unstemmed Solvency Evaluation Model of Insurance Company Based on Stochastic Differential Equation
title_short Solvency Evaluation Model of Insurance Company Based on Stochastic Differential Equation
title_sort solvency evaluation model of insurance company based on stochastic differential equation
url http://dx.doi.org/10.1155/2021/5594619
work_keys_str_mv AT kaiwang solvencyevaluationmodelofinsurancecompanybasedonstochasticdifferentialequation
AT lingzhu solvencyevaluationmodelofinsurancecompanybasedonstochasticdifferentialequation