We consider a risk model in discrete time with dividends and capital injections. The goal is to maximise the value of a dividend strategy. We show that the optimal strategy is of barrier type. That is, all capital above a certain threshold is paid as dividend. A second problem adds tax to the...

We consider optimal dividend payment under the constraint that the with-dividend ruin probability does not exceed a given value ». This is done in most simple discrete De Finetti models. We characterize the value function V(s,») for initial surplus s of this problem, characterize the...

We consider optimal dividend payment under the constraint that the with-dividend ruin probability does not exceed a given value α. This is done in most simple discrete De Finetti models. We characterize the value function V(s,α) for initial surplus s of this problem, characterize the...