Abstract: Alternative Investment Strategies for the Issuers of Equity-Linked Life Insurance Policies with an Asset Value Guarantee

Abstract

An equity-linked life insurance policy with an asset value guarantee (ELPAVG) is an insurance policy whose benefit payable on death or at maturity consists of the greater of some guaranteed amount and the value of a reference portfolio which is defined by the deemed investment of a predetermined component of the policy premium in a portfolio of common stocks or mutual fund–the reference fund. In an earlier paper we demonstrated that the benefit payable under an ELPAVG could be decomposed into the known guaranteed amount and an immediately exercisable call option to purchase the reference portfolio for an exercise price equal to the guaranteed amount. The principles of the option pricing model were then employed to derive the equilibrium premium for both a single premium ELPAVG contract and a periodic premium contract. It was further noted that the hedging arguments, which are the core of most of the recent theory of option pricing, could be employed to derive an investment strategy for the insurance company which would eliminate the risks associated with the sale of ELPAVGs: this is an important result, for ELPAVGs may pose a significant threat to the solvency of insurance companies since the risks of loss under different contracts are not independent, but are commonly related to the overall performance of the reference fund. Actuaries have responded to this threat by attempting to determine a level of reserves sufficient to reduce the probability of ruin to an acceptable level. On the other hand, adoption of the riskless investment strategy in theory eliminates the need to hold any reserves except against mortality risk.