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,...

This paper compares two different types of annuity providers, i.e. defined benefit pension funds and life insurance companies. One of the key differences is that the residual risk in pension funds is collectively borne by the beneficiaries and the sponsor while in the case of life insurers, it...

We analyze the market-consistent valuation of pension liabilities in a contingent claim framework whereby a knock-out barrier feature is applied to capture early regulatory closure of a pension plan. We investigate two cases which we call immediate closure procedure" and delayed closure...

This paper analyzes the relationship between a pension fund with conditionally indexed de.ned benefit liabilities and its sponsor, using contingent claims analysis. As pension funds run a mismatch risk, future surpluses and shortfalls will occur. Surpluses are divided between beneficiaries and...

Developed countries apply different security mechanisms in regulation to protect defined pension benefits: solvency requirements, a pension guarantee fund, and sponsor support. We test the performance of these mechanisms in terms of the protection offered to pension benefits in relation to the...