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...

We derive and test a new option pricing method based on statistics. We show how such a method allows to a) analytically price options with risk measures - such as Value-at-Risk or Expected Shortfall - on assets with stochastic volatility; and b) build several new structural models for the credit...

Longevity risk has become a major challenge for governments, individuals, and annuity providers in most countries, and especially its aggregate form, i.e. the risk of unsystematic changes to general mortality patterns, bears a large potential for accumulative losses for insurers. As obvious risk...