Demographic changes increase the necessity to base the pension system more and more on the second and the third pillar, namely the occupational and private pension plans; this paper deals with Target Date Funds (TDFs), which are a typical investment opportunity for occupational pension planners....

In this paper we derive an analytic valuation formula for a generalized form of liabilities in hybrid pension plans taking account of both equity and interest rate risk. Comparative statistics are carried out to show the relevance of some key parameters in defining the hybrid pension plans,...

Contemporary pension plans are often a mixture of defined benefit and defined contribution plans. This paper explores the valuation of a generalized form of liabilities in hybrid pension plans taking account of both equity and interest rate risk. We derive an analytic valuation formula for the...

This paper compares two different types of private retirement plans from the perspective of a representative beneficiary: a defined benefit (DB) and a defined contribution (DC) plan. While salary risk is the main common risk factor in DB and DC pension plans, one of the key differences is that...

For insurance companies in Europe, the introduction of Solvency II leads to a tightening of rules for solvency capital provision. In life insurance, this especially affects retirement products that contain a significant portion of longevity risk (for example conventional annuities). Insurance...

This paper proposes an innovative retirement product with a focus on longevity risk sharing, a contract we refer to as tail index-linked annuity (TILA). Specifically, the proposed TILA pays out variable annual payments, which will be equal to a regular nominal amount when a reference survival...