We consider the optimal dividend problem in the so-called degenerate bivariate risk model under the assumption that the surplus of one branch may become negative. More specific, we solve the stochastic control problem of maximizing discounted dividends until simultaneous ruin of both branches of...

Purchasing life insurance is for the welfare of young children, par-ticularly preteens, who are liquidity constrained. In this paper, we present a life cycle model of life insurance that takes into account the ages of these young beneciaries. We show that, as the child ages, the need for...