We propose a model for the valuation of participating life insurance products under a generalized jump–diffusion model with a Markov-switching compensator. The Esscher transform is employed to determine an equivalent martingale measure in the incomplete market. The results are further...

We generalize the standard lattice approach of Cox, Ross, and Rubinstein (1976) from a fixed sum to a random sum in a subordinated process framework to accommodate pricing of derivatives with random-sum characteristics. The asset price change now is determined by two independent Bernoulli trials...

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...

The aim of this article is to identify fair equity-premium combinations for non-lifeinsurers that satisfy solvency capital requirements imposed by regulatory authorities. In particular, we compare target capital erived using the value at risk concept as planned for Solvency II in the European...

In recent years, industry loss warranties (ILWs) have become increasingly popular in the reinsurance market. The defining feature of ILW contracts is their dependence on an industry loss index. The use of an index reduces moral hazard and generally results in lower prices compared to...

In this article we identify risk and return profiles of two types of investment guaranteesin unit-linked life insurance products: an interest rate guarantee and a lookbackguarantee. This is done by comparing guarantee costs and performance for thematurity payoff and by testing the investment...

Common features in life insurance contracts are an interest rate guarantee andpolicyholder participation in the returns of insurers’ reference portfolio, which canbe of substantial value. The aim of this paper is to analyze the model risk involvedin pricing and risk assessment that arises from...

Die seit nunmehr 20 Jahren geführte gesellschaftspolitische Debatte zum Konzept desShareholder-Value ist vor allem auch durch eine unklare Belegung und Abgrenzung derverwendeten betriebswirtschaftlichen Begriffe gekennzeichnet. Im vorliegenden Beitragwird in einem ersten Schritt eine formale...

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...