Premiums and benefits associated with traditional life insurance contracts are usually specified as fixed amounts in policy conditions. However, reserve-dependent surrender values and reserve-dependent expenses are common in insurance practice. The famous Cantelli theorem in life insurance...

We consider lifetime health insurance contracts in which ageing provisions are used to smooth the premium profile. The stock of capital accumulated for each individual can be split into two parts: a premium insurance and an annuitised life insurance, where the latter would be transferable...

We construct an optimal investment portfolio model with deferred annuities for an individual investor saving for retirement. The objective function consists of power utility in terms of secured retirement income from the deferred annuity purchases, as well as bequest from remaining wealth...