A Study on Reserving Multiple Life Insurances and Annuities: A Copula Approach

In this paper, we analyze the effect of dependence between two insureds’ future lifetimes on valuing multiple life insurances and annuities. For the purpose, we first find a best copula to fit the joint mortality data consisting of the Korean married couples, and then evaluate the multiple life contracts under the copula model. A comparison study is performed regarding dependence status, and further extended to incorporate other risk factors such as longevity and interest rate. According to our findings, the student copula describes best our joint mortality data and the effect of dependence can be quite considerable depending on the contract type.