TY - JOUR
A2 - Wang, Guangchen
AU - Li, Yan
AU - Liu, Guoxin
PY - 2015
DA - 2015/03/22
TI - Optimal Dividend and Capital Injection Strategies in the Cramér-Lundberg Risk Model
SP - 439537
VL - 2015
AB - 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).
SN - 1024-123X
UR - https://doi.org/10.1155/2015/439537
DO - 10.1155/2015/439537
JF - Mathematical Problems in Engineering
PB - Hindawi Publishing Corporation
KW -
ER -