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欢欢 · 2021年08月22日

这里的月利率,是直接用6%/12=0.5%吗?为什么不用EAR计算呢,我计算出来的结果是0.0617。

NO.PZ2017092702000016

问题如下:

A sports car, purchased for £200,000, is financed for five years at an annual rate of 6% compounded monthly. If the first payment is due in one month, the monthly payment is closest to:

选项:

A.

£3,847.

B.

£3,867.

C.

£3,957.

解释:

B is correct,

“the first payment is due in one month”是第一笔付款在第一个月的意思(t=1),所以是个后付年金问题。

后付年金模式下,PV=-200,000, N=12*5, I/Y=6/12,FV=0

CPT PMT=3866.56

这里的月利率,是直接用6%/12=0.5%吗?为什么不用EAR计算呢,我计算出来的结果是0.0617。

1 个答案
已采纳答案

星星_品职助教 · 2021年08月22日

同学你好,

求年金问题有一个原则,即N,PMT和I/Y三者期限要一致。

这道题要求的是“ the monthly payment”,所以最直接的方法就是把N和I/Y都调成月度的形式,即I/Y=6/12=0.5,忽略百分号。这样计算器出来的直接就是“ the monthly payment”。

如果I/Y用年利率(EAR)的方式来计算,就需要配合N=5,得出来的只能是annual payment。

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