Defined benefit (DB) pension plans are a primary type of pension schemes with the sponsor assuming most of the risks. Longevity-indexed bonds have been used to hedge or transfer risks in pension plans. Our objective is to study an aggregated DB pension plan's optimal risk management problem...

Defined-benefit (DB) pension funds, which are often underfunded, rely on the legal obligation of their sponsor to secure pension rights. This paper is the first to solve the optimal portfolio choice problem of pension funds taking into account the risk on the sponsor's guarantee, and we show...