We analyse contracts which pay out a guaranteed minimum rate of return and a fraction of a positive excess rate, which is specified on the basis of a benchmark portfolio. These contracts are closely related to unit--linked life--insurance/savings plan products and can be considered as...

Participating life insurance contracts allow the policyholder to participate in the annual return of a reference portfolio. Additionally, they are often equipped with an annual (cliquet-style) return guarantee. The current low interest rate environment has again refreshed the discussion on risk...

Guarantees embedded variable annuity contracts exhibit option-like payoff features and the pricing of such instruments naturally leads to risk neutral valuation techniques. This paper considers the pricing of two types of guarantees; namely, the Guaranteed Minimum Maturity Benefit and the...

We study the valuation of unit-linked life insurance contracts with surrender guarantees. Instead of solving an optimal stopping problem, we propose a more realistic approach accounting for policyholders’ rationality in exercising their surrender option. The valuation is conducted at the...

We study the valuation and hedging of unit-linked life insurance contracts in a setting where mortality intensity is governed by a stochastic process. We focus on model risk arising from different specifications for the mortality intensity. To do so we assume that the mortality intensity is...

Universal life policies are the most popular insurance contract design in theUnited States. They have either a level death benefit paying a fixed faceamount, or an increasing death benefit, which additionally pays the availablecash value, and both types include the option to switch from one to...

In this paper, we investigate the impact of different asset management and surplus distributionstrategies in life insurance on risk-neutral pricing and shortfall risk. In general,these feedback mechanisms affect the contract’s payoff and hence directly influence pricingand risk measurement. To...

Participating life insurance contracts typically contain various types of implicit options. These implicit options can be very valuable and can thus represent a sig-nificant risk to the insurance companies issuing these contracts in case of in-sufficient risk management. Options can get...

Most life insurance contracts embed the right to stop premium payments during the termof the contract (paid-up option). Thereby, the contract is not terminated but continueswith reduced benefits and often provides the right to resume premium payments later,thus increasing the previously reduced...

Fair pricing of embedded options in life insurance contracts is usually conducted by using risk-neutral valuation. This pricing framework assumes a perfect hedging strategy, which insurance companies can hardly pursue in practice. In this paper, we extend the risk-neutral valuation concept with...