종신연금과 종신보험의 사망 리스크 헤징 포트폴리오 전략에 관한 연구

Abstract

The demand for a whole life annuity in pursuit of planning for one’s retirement has been gradually increasing in Korea, and this is rooted in the prolongation of average lifespan. However, this trend is not reflected in the assumed mortality, which is used when designing insurance products. In this study, we first examined mortality, survival, and longevity risks based on the mortality rate changes. Subsequently, we suggested the actuarial gain and loss inherent to a product design through an actuarial model by considering the rate changes both in ordinary mortality rate and annuity mortality rate based on the Lee-Carter model. In the case where both mortality coverage and survival coverage are included in one product, we proposed a mechanism to hedge the aggregate survival-mortality gain and loss adjusted through the mortality coverage benefit to survival coverage benefit ratio in a given period. Furthermore, we suggested a measure to achieve gain and loss management goals of insurance providers by establishing different mortality coverage benefit to survival coverage benefit ratio in order to offset the aggregate survivalmortality gain and loss variable in accordance with the mortality coverage period through our model discussed above. Finally, we emphasized the importance of establishing the assumed interest rate by presenting the aggregate gain and loss estimates as a result of effective interest rate following product management under the assumption that prospective improvement in the mortality rate is guaranteed. In conclusion, the mortality coverage benefit to survival coverage benefit ratio to make the aggregate survival-mortality gain and loss zero in this study was approximately “52.74792 to 1”in one product, and this ratio varied according to the term unredeemed. In addition, the ratio when two products exist was approximately “10.59732 to 1”. Therefore, insurance providers must perform product management with the improvement in mortality rate through internal hedging strategies taken into account in order to lead a successful business. In addition, they must pursue complete hedging by predicting future market environment and establishing an appropriately assumed interest rate.