Optimal Control Strategies for the Premium Policy of an Insurance Firm with Jump Diffusion Assets and Stochastic Interest Rate

被引：1

作者：

Guerdouh, Dalila ^{[1
]}

Khelfallah, Nabil ^{[1
]}

Vives, Josep ^{[2
]}

机构：

[1] Univ Biskra, Lab Math Appl, PB 145, Biskra 07000, Algeria

[2] Univ Barcelona, Dept Matemat & Informat, Gran Via 585, Barcelona 08007, Spain

来源：

JOURNAL OF RISK AND FINANCIAL MANAGEMENT | 2022年 / 15卷 / 03期

关键词：

forward-backward stochastic differential equations; teugels martingales; levy processes; optimal premium policies; PORTFOLIO; SELECTION;

D O I：

10.3390/jrfm15030143

中图分类号：

F8 [财政、金融];

学科分类号：

0202 ;

摘要：

In this paper, we present a stochastic optimal control model to optimize an insurance firm problem in the case where its cash-balance process is assumed to be described by a stochastic differential equation driven by Teugels martingales. Noticing that the insurance firm is able to control its cash-balance dynamics by regulating the underlying premium rate, the aim of the policy maker is to select an appropriate premium in order to minimize the total deviation of the state process to some pre-set target level. As a part of stochastic maximum principle approach, a verification theorem is used to fulfill this achievement.

引用

页数：19

共 48 条

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