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mika1218 · 2021年07月04日

能否用EAR 算

NO.PZ2018062016000005

问题如下:

John receive a gift from his grandpa about $1.2 million. He plans to buy a house in five years later, which price is expected to be $250,000 at that time. How much should John deposit now if the stated annual rate is 3% and compounded monthly?

选项:

A.

$215,652

B.

$215,217

C.

$242,620

解释:

B is correct. Present value * (1+3%/12)12*5=$250,000, therefore, John should deposit $215,217 currently.

老师这里能否用EAR计算,用ear时,N是不是等于年数5

1 个答案

星星_品职助教 · 2021年07月05日

同学你好,

这道题不应该用EAR计算,原因是题目的计息频率为“compounded monthly”。

所以这个时候如果用年度利率EAR,就和计息频率对不上了。

所以才需要用月度利率I/Y=3/12和N=5×12=60个月来计算。

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