Consider a traditional life insurance contract paid with a single premium. In addition to mortality factors, the relationship between the fixed amount of benefit and the single premium depends on the interest rate (calculation rate). The calculation rate can be interpreted as the average rate...

In many countries, traditional life insurance products include a fixed percentage guarantee on each year's return. This article presents a model for the valuation of life insurance contracts including a guaranteed minimum return. The model is based on the notion of no arbitrage opportunities...

We consider risk sharing among individuals in a one-period setting under uncertainty, that will result in payoffs to be shared among the members. We start with optimal risk sharing in an Arrow-Debreu economy, or equivalently, in a Borch-style reinsurance market. From the results of this model we...

We use a white noise approach to Malliavin calculus to prove the following white noise generalization of the Clark-Haussmann-Ocone formula \[F(\omega)=E[F]+\int_0^TE[D_tF|{\cal F}_t]\diamond W(t)dt\] Here $E[F]$ denotes the generalized expectation, $D_tF(\omega)={{dF}\over{d\omega}}$ is the...