Mortality: modelling, socio-economic differences and basis risk

During the last two centuries the developed world experienced a persistent increase in life expectancy. Although past trends suggests that life expectancy will continue to increase, there is considerable uncertainty surrounding the future evolution of mortality. In addition, past mortality improvements have not been shared equally across the population, resulting in a widening of socio-economic inequalities in mortality. The uncertainty and socio-economic variability of life expectancy pose a challenge for the design of pension systems and the management of longevity risk in pension funds and annuity portfolios. This thesis is devoted to the investigation of the trends and financial implications of socio-economic differences in mortality. It comprises three parts. The first part introduces new modelling techniques for the quantification of socio-economic mortality differentials in aggregate and cause-specific mortality, which are applied in the study of the relationship between mortality and deprivation in the English population. The second part evaluates the suitability of several multipopulation stochastic mortality models for assessing basis risk in longevity hedges and provides guidelines on how to use these models in practical situations. Finally, the third part introduces new modelling tools which aim to permit a more effective and widespread use of stochastic mortality models