Payments of life insurance products depend on the uncertain future evolution of survival probabilities. This uncertainty is referred to as longevity risk. Existing literature shows that the effect of longevity risk on single life annuities can be substantial, and that there exists a (natural)...

In this paper we propose a new rule to allocate risk capital to portfolios or divisions within a firm. Specifically, we determine the capital allocation that minimizes the excesses of sets of portfolios in lexicographical sense. The excess of a set of portfolios is defined as the expected loss...

In this paper we focus on robust linear optimization problems with uncertainty regions defined by ø-divergences (for example, chi-squared, Hellinger, Kullback-Leibler). We show how uncertainty regions based on ø-divergences arise in a natural way as confidence sets if the uncertain parameters...

It is common practice for pension schemes to offer their participants the option to delay benefit claiming until after the normal retirement age and adjust the annual benefit level as a result. This adjustment is often not actuarially neutral with respect to the age at which benefits are...

This paper considers the effects of a policy that links retirement age to life expectancy. We focus on the effects on healthy life expectancy before and after retirement, and on the likelihood of being in good health at retirement age. To investigate these effects, we use a stochastic projection...

We study the evolution in remaining life expectancy and healthy life expectancy of the U.S. population from 1972 to 2020, distinguished by genders. We propose a methodology to forecast life expectancy and healthy life expectancy by incorporating the joint future developments of age-specific...

This paper proposes a model for self-assessed health at an aggregate level that allows to generate age- and gender-specific stochastic forecasts of future health. We decompose health status into a time effect and an age effect. We then further decompose the time effect into observed...