Liability-driven investment: multiple liabilities and the question of the number of moments

The selection of investments held in dedicated pension or insurance asset portfolios should be liability-driven. Techniques have been developed to hedge or immunize single liabilities from the effects of a variety of yield curve changes. In this paper, we extend these results to a more relevant practical problem, to immunize multiple liabilities occurring at different times in the future. This immunization approach can accommodate a variety of non-parallel yield curve behaviours. In a practical application, we demonstrate that our approach is effective in selecting index tracking portfolios in the UK Gilt (government bond) market.