Optimal Dividend and Capital Injection Strategies in the Cramér-Lundberg Risk Model
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-22
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We discuss the optimal dividend and capital injection strategies in the Cramér-Lundberg risk model.
The value function V ( x ) is defined by maximizing the discounted value of the dividend payment minus the penalized discounted capital injection until the time of ruin.
It is shown that V ( x ) can be characterized by the Hamilton-Jacobi-Bellman equation.
We find the optimal dividend barrier b , the optimal upper capital injection barrier 0, and the optimal lower capital injection barrier - z * .
In the case of exponential claim size especially, we give an explicit procedure to obtain b , - z * , and the value function V ( x ) .
American Psychological Association (APA)
Li, Yan& Liu, Guoxin. 2015. Optimal Dividend and Capital Injection Strategies in the Cramér-Lundberg Risk Model. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1073850
Modern Language Association (MLA)
Li, Yan& Liu, Guoxin. Optimal Dividend and Capital Injection Strategies in the Cramér-Lundberg Risk Model. Mathematical Problems in Engineering No. 2015 (2015), pp.1-16.
https://search.emarefa.net/detail/BIM-1073850
American Medical Association (AMA)
Li, Yan& Liu, Guoxin. Optimal Dividend and Capital Injection Strategies in the Cramér-Lundberg Risk Model. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1073850
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073850