Description: We propose an age-shift model to modify the LC model and deal with the problem of parameters. The proposed method attains smaller estimation errors with respect to mean absolute percentage error or mean square error. We also apply the proposed age-shift model to the mortality rates of these four countries to evaluate the longevity risk in annuity products by measuring life expectancy.

Description: This paper develops a model of annuity mortality that facilitates a more thorough evaluation of the issues of policyholder antiselection and insurance company response. Aging occurs as an annuitant's health state changes. Death occurs either as terminal health state or by accident. By knowing the current health state, the annuitant or insurance company can improve its knowledge about life expectancy.