In this paper life insurance contracts based on an urn-of-urns model, with age-at-death asobservable variable, are analyzed. Premium payment functions based on the principles of“equivalence on an individual level” and “equivalence on a group level” are compared. Boththe aggregate loss...

Suppose are independent subexponential random variables with partial sums. We show that if the pairwise sums of the ’s are subexponential, then is subexponential and . The result is applied to give conditions under which as , where are constants such that is a.s. convergent. Asymptotic tail...

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...