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
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