SOLVENCY MEASUREMENT OF LIFE ANNUITY PRODUCTS

Abstract

In this paper, we measure the market and the longevity risks borne by an insurer by computing their solvency capital for a given annuity and within an investment strategy. For this purpose, we propose the investment strategy in such a way as to mitigate the solvency capital of the insurer and improve the internal rate of return of a shareholder investing on a given annuity. Numerically, we study the sensitivity of both the solvency capital and the internal rate of return with respect to some significant parameters.