This article provides natural hedging strategies for life insurance and annuity businesses written on a single generation or on different generations in the presence of both longevity and interest-rate risks. We obtain closed-form solutions for delta and gamma hedges against cohort-based...

We consider the portfolio selection problem in the accumulation phase of a defined contribution (DC) pension scheme. We solve the mean-variance portfolio selection problem using the embedding technique pioneered by Zhou and Li (2000) and show that it is equivalent to a target-based optimization...

We consider the problem of finding the optimal annuitization time in the decumulation phase of a defined contribution pension scheme, exploiting the model of Gerrard, Højgaard and Vigna (2010). We make extensive numerical investigations on the optimal annuitization time, size of final annuity...

This paper deals with a constrained investment problem for a defined contribution (DC) pension fund where retirees are allowed to defer the purchase of the annuity at some future time after retirement.This problem has already been treated in the unconstrained case in a number of papers. The aim...

We study the gap between the state pension provided by the Italian pension system pre-Dini reform and post-Dini reform. The goal is to fill the gap between the old and the new pension by joining a defined contribution pension scheme and adopting an optimal investment strategy that is...