Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/270705 
Year of Publication: 
2019
Citation: 
[Journal:] Cogent Economics & Finance [ISSN:] 2332-2039 [Volume:] 7 [Issue:] 1 [Article No.:] 1698939 [Year:] 2019 [Pages:] 1-11
Publisher: 
Taylor & Francis, Abingdon
Abstract: 
We solve the problem of an insurer who decides to optimally allocate a proportion (1-a(t)) of premiums to a re-insurance company (thereby retaining a proportion a(t) of premiums) and who also has to optimally pay dividends c(t) at any time t to shareholders. If the insurer's reserve x(t) is a given Ito-Levy process and the shareholders' preferences are given by a general constant relative risk aversion utility function, we set the problem as a stochastic control problem and solve the resulting HJB equation. Results are discussed in detail and show that it is optimal that premiums and dividends be directly proportional to the reserve. High premium lead to high reserves which in turn leads to high premium payouts. This paper contributes to the rich area of stochastic control and also it helps insurers whose reserves can be modelled, to make technical decisions of how to charge premiums, reinsure liabilities and pay dividends to shareholders.
Subjects: 
optimal premium
HJB equation
reinsurance
optimal dividend
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article

Files in This Item:
File
Size





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.