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Reena · 2021年10月07日

Olivia income 为什么是pay at beginning of the year?

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NO.PZ201704060100000302

问题如下:

Based on the given assumptions and the data in Exhibit 1, the additional amount of life insurance coverage needed is closest to:

选项:

A.

A$0.

B.

A$331,267.

C.

A$2,078,101.

解释:

B is correct.

The additional amount of life insurance coverage needed is calculated as the dierence between the familys total financial needs and total capital available. Total financial needs are calculated as follows.

Capital needs are determined as the present value of an annuity due: growth rate = 3.5%, discount rate = 6.0%. Growth of payments is incorporated by adjusting the discount rate to account for the growth rate of earnings. As long as the discount rate is larger than the growth rate, the adjusted rate i can be calculated as follows: [(1 + Discount rate)/(1 + Growth rate)] – 1, or i = (1.06/1.035) – 1 = 2.42%.

题目中并没有说明Olivia 的Income是先付,为什么要用payment at beginning of the year? Income一般情况下应该是后付吧?
1 个答案

王暄_品职助教 · 2021年10月08日

因为所有保险的premium都是先付年金,我们通常也是每年年初给保险公司交保费,所以Premium是先先付年金。

于是,因为要和保险金匹配,这些现金流都按年金来算。

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