2 the aggregate model of life insurance establish an aggregate model of life insurance by applying the alien modernly insurance actuarial theories and techniques , including deferred life annuities , whole life insurance and returnable premiums . the model has the following properties : ( a ) through the regulation of various parameters in the model , various insurance products can be obtained ; ( b ) the introduction of whole life annuities in the model eases economic predicament when the insured retire ; ( c ) a returnable premium part in the model makes the insurance products have double functions of insurance and savings ; ( d ) an endowment insurance actuarial model also can be gotten when annuity is continuous . and construct an optimization model based on aggregate model of life insurance 這個保險精算模型具有如下性質(zhì): ( a )保險公司可以根據(jù)實(shí)際情況調(diào)整參數(shù),不同參數(shù)的組合可以得到不同的保險產(chǎn)品,靈活適用性較強(qiáng); ( b )年金的引入,可以緩解投保人退休后的經(jīng)濟(jì)窘境,避免或減小因退休而面臨的經(jīng)濟(jì)影響,保險的社會保障性得到了很好的體現(xiàn); ( c )模型中的還本部分,使得這種保險產(chǎn)品具有儲蓄和保險的雙重功能,不僅擴(kuò)大了保險的社會職能,而且對于投保人來說,多了一種安全的投資選擇; ( d )年金連續(xù)的情況下,建立了具有儲蓄功能的養(yǎng)老保險精算模型。