Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/90296
| Title: | Optimal dividend strategy for an insurance group with contagious default risk | Authors: | Jin, Z Liao, H Yang, Y Yu, X |
Issue Date: | 2021 | Source: | Scandinavian actuarial journal, 2021, v. 2021, no. 4, p. 335-361 | Abstract: | This paper studies the optimal dividend for a multi-line insurance group, in which each subsidiary runs a product line and is exposed to some external credit risk. The default contagion is considered such that one default event may increase the default probabilities of all surviving subsidiaries. The total dividend problem for the insurance group is investigated and we find that the optimal dividend strategy is still of the barrier type. Furthermore, we show that the optimal barrier of each subsidiary is modulated by the default state. That is, how many and which subsidiaries have defaulted will determine the dividend threshold of each surviving subsidiary. These conclusions are based on the analysis of the associated recursive system of Hamilton–Jacobi–Bellman variational inequalities (HJBVIs). The existence of the classical solution is established and the verification theorem is proved. In the case of two subsidiaries, the value function and optimal barriers are given in analytical forms, allowing us to conclude that the optimal barrier of one subsidiary decreases if the other subsidiary defaults. | Keywords: | Credit default contagion Default-state-modulated barriers Insurance group Optimal dividend Recursive system of HJBVIs |
Publisher: | Taylor & Francis Scandinavia | Journal: | Scandinavian actuarial journal | ISSN: | 0346-1238 | EISSN: | 1651-2030 | DOI: | 10.1080/03461238.2020.1845231 | Rights: | © 2020 Informa UK Limited, trading as Taylor & Francis Group This is an Accepted Manuscript of an article published by Taylor & Francis in Scandinavian Actuarial Journal on 15 Nov 2020 (Published online), available online: http://www.tandfonline.com/10.1080/03461238.2020.1845231. |
| Appears in Collections: | Journal/Magazine Article |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Jin_Optimal_Dividend_Strategy.pdf | Pre-Published version | 568.36 kB | Adobe PDF | View/Open |
Access
View full-text via PolyU eLinks 
Page views
27
Last Week
0
0
Last month
Citations as of Jun 4, 2023
Downloads
2
Citations as of Jun 4, 2023
SCOPUSTM
Citations
6
Citations as of Jun 2, 2023
WEB OF SCIENCETM
Citations
4
Citations as of Jun 1, 2023
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.