Yao, Dingjun, Yang, Bo, Xu, Xin, Li, Youwei and Wang, Yizhi
2025.
Optimal dividend and scale of business strategies with reinsurance and premium pricing for insurance company.
European Journal of Operational Research
328
(2)
, pp. 694-703.
10.1016/j.ejor.2025.07.039
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Abstract
This paper investigates the optimal dividend and business scale strategies aimed at maximizing the value of an insurance company. While prior studies typically assume that insurers can only adjust their business scale through reinsurance, this study extends the framework by allowing the insurer to control the premium rate. Under more realistic market assumptions, we examine the joint optimization problem for two common types of reinsurance—proportional and excess-of-loss—across both arbitrage and non-arbitrage scenarios. We derive the optimal strategies for dividends and premium pricing, along with their corresponding value functions. The results show that the insurer should decrease the premium rate and reduce reinsurance coverage as the surplus increases. The optimal dividend policy follows a barrier strategy. Economic interpretations and numerical examples are provided to illustrate the findings.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Business (Including Economics) |
| Publisher: | Elsevier |
| ISSN: | 0377-2217 |
| Date of First Compliant Deposit: | 31 July 2025 |
| Date of Acceptance: | 20 July 2025 |
| Last Modified: | 10 Nov 2025 12:45 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/180181 |
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