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曼联天下 · 2024年01月28日

这道题的growth rate在讲义哪里有说到

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NO.PZ202301041000002304

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.

B.

$1,547,862.

C.

$1,951,345.

解释:

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.

1 Calculate the pretax income needed to be replaced


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%

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]

4 Less Bradley’s current life insurance coverage (from Exhibit 1)

(250,000)

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.

1+4%/1+3% 这个知识点好像没印象学过呀

1 个答案

王暄_品职助教 · 2024年01月28日

知识点为一级经济学的费雪公式:

公式原型:(1+Real rate)*(1+inflation rate)=(1+nominal rate)

左右改写一下可写成:(1+nominal rate)/(1+inflation rate)-1=Real rate,既可以计算出real rate

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