中文版 | English
Title

Optimal allocation of policy limits in layer reinsurance treaties

Author
Corresponding AuthorZhang, Yiying
Publication Years
2022-11-01
DOI
Source Title
ISSN
0269-9648
EISSN
1469-8951
Abstract
Layer reinsurance treaty is a common form obtained in the problem of optimal reinsurance design. In this paper, we study allocations of policy limits in layer reinsurance treaties with dependent risks. We investigate the effects of orderings and heterogeneity among policy limits on the expected utility functions of the terminal wealth from the viewpoint of risk-averse insurers faced with right tail weakly stochastic arrangement increasing losses. Orderings on optimal allocations are presented for normal layer reinsurance contracts under certain conditions. Parallel studies are also conducted for randomized layer reinsurance contracts. As a special case, the worst allocations of policy limits are also identified when the exact dependence structure among the losses is unknown. Numerical examples are presented to shed light on the theoretical findings.
Keywords
URL[Source Record]
Indexed By
Language
English
SUSTech Authorship
Corresponding
Funding Project
[11871252]
WOS Research Area
Engineering ; Operations Research & Management Science ; Mathematics
WOS Subject
Engineering, Industrial ; Operations Research & Management Science ; Statistics & Probability
WOS Accession No
WOS:000889743200001
Publisher
Data Source
Web of Science
Citation statistics
Cited Times [WOS]:0
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/417090
DepartmentDepartment of Mathematics
Affiliation
1.Jiangsu Normal Univ, Sch Math & Stat, Jiangsu Prov Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Peoples R China
2.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China
Corresponding Author AffilicationDepartment of Mathematics
Recommended Citation
GB/T 7714
Wang, Chuchu,Wang, Wei,Zhang, Yiying,et al. Optimal allocation of policy limits in layer reinsurance treaties[J]. PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES,2022.
APA
Wang, Chuchu,Wang, Wei,Zhang, Yiying,&Zhao, Peng.(2022).Optimal allocation of policy limits in layer reinsurance treaties.PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES.
MLA
Wang, Chuchu,et al."Optimal allocation of policy limits in layer reinsurance treaties".PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES (2022).
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