The actuary and its environment -- Financial markets and their securities -- Forwards and futures -- Swaps -- Options -- Engineering basic options -- Engineering advanced derivatives -- Equity-linked insurance and annuities -- One-period binomial tree model -- Two-period binomial tree model --...

We introduce a family of bivariate discrete distributions whose members are generated by a decreasing mass function <italic>p</italic>, and with margins given by <italic>p</italic>. Several properties and examples are obtained, including a family of seemingly novel bivariate Poisson distributions.

We consider de Finetti's stochastic control problem when the (controlled) process is allowed to spend time under the critical level. More precisely, we consider a generalized version of this control problem in a spectrally negative Lévy model with exponential Parisian ruin. We show that, under...

In this paper, we compute the Laplace transform of occupation times (of the negative half-line) of spectrally negative Lévy processes. Our results are extensions of known results for standard Brownian motion and jump-diffusion processes. The results are expressed in terms of the so-called scale...

In a Lévy insurance risk model, under the assumption that the tail of the Lévy measure is log-convex, we show that either a horizontal barrier strategy or the take-the-money-and-run strategy maximizes, among all admissible strategies, the dividend payments subject to an affine penalty function...