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fansen · 2023年08月31日

表中present value of future earnings 是怎么算出来的呢

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NO.PZ202109080500000103

问题如下:

Based on the data in Exhibits 1 and 2 and using the human life value method for determining life insurance needs, the additional amount of life insurance that Bradley should purchase is closest to:

选项:

A.$1,701,345.00 B.$1,547,862.00 C.$1,951,345.00

解释:

Solution

A is correct. The additional amount of life insurance Bradley should purchase using the human life value method is calculated as follows. The calculations assume (1) Bradley works for exactly 15 years and (2) his family needs the proceeds of the life insurance immediately upon his death.


Step 2

Adjust the discount rate to account for the projected growth rate of earnings and expenses

  • Discount rate: 4%

  • Projected annual salary and expense increase for Bradley: 3%

  • Calculate the adjusted rate (i):

    i = [(1 + Discount rate)/(1 + Growth rate)] – 1

    = [(1 + 0.04)/(1 + 0.03)] – 1

    = (1.04/1.03) – 1

    = 1.0097 – 1

    = 0.0097 = 0.97%

Step 3

Determine the total amount of life insurance needed by calculating the present value of an annuity due in advance$139,063 × PVAADV(15 years, 0.97%) = $1,951,345

[Inputs on financial calculator (HP-12C): Mode: BEG; n: 15; i: 0.97; PMT: 139,063; FV: 0; calc PV]

Step 4: Less Bradley’s current life insurance coverage (from Exhibit 1)(250,000)

Step 5

Additional life insurance required for Bradley$1,701,345

B is incorrect. The employer contribution to the defined-contribution retirement plan was not included in Step 1 of the calculation.

C is incorrect. The current $250,000 life insurance coverage was not deducted from the calculation of the total life insurance needed.

表中present value of future earnings 是怎么算出来的呢

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王暄_品职助教 · 2023年08月31日

老师可能我这个地方有点钻牛角尖了,考试也应该不会这么考。如果考试题目不给每年收入呢,那么PV不就是Bradley今后能挣到的所有钱吗,结合家庭支出的情况,就可以算出需要多少保险

如果没有给每年的收入,我认为这个PV是可以用的;

且你要把以后每年的支出也要先折现,然后和PV of future earning相减,可以得到买多少additional insurance。



fansen · 2023年08月31日

好的老师,感谢

王暄_品职助教 · 2023年08月31日

好的老师,感谢

祝您考试成功!

王暄_品职助教 · 2023年08月31日

老师关于这道求需要保险的有问必答我看了很多,我也有同样的问题是,为什么不能用这个present value of future earning反推annual income,因为I/Y,N都有。或者结合这里感觉很容易混淆,因为最先看到的就是这个条件

我们现在需要算的是,根据如果Bradley死了,每个年少带来的净收益,来估计保险公司每个月应该赔付多少钱,也是PMT,然后根据PMT算出保险的PV,也就是现在应该再买多少钱的保险。而2,150,000是PV的形式,没办法让我们算出,如果Bradley死了,每年少带来的净收益。

fansen · 2023年08月31日

老师可能我这个地方有点钻牛角尖了,考试也应该不会这么考。如果考试题目不给每年收入呢,那么PV不就是Bradley今后能挣到的所有钱吗,结合家庭支出的情况,就可以算出需要多少保险

王暄_品职助教 · 2023年08月31日

financial information 中Estimated present value of Bradley's future earnings 2,150,000

哦哦您说案例表格给的,这是已知条件,不需要计算呀,是已经给出的

fansen · 2023年08月31日

老师关于这道求需要保险的有问必答我看了很多,我也有同样的问题是,为什么不能用这个present value of future earning反推annual income,因为I/Y,N都有。或者结合这里感觉很容易混淆,因为最先看到的就是这个条件

王暄_品职助教 · 2023年08月31日

这个表里我没有看见present value of future earning呀

fansen · 2023年08月31日

financial information 中Estimated present value of Bradley's future earnings 2,150,000

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