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...