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Elliott Ho · 2017年02月28日

问一道题:NO.PZ2015120604000019 [ CFA I ]

问题如下图:

    

选项:

A.

B.

C.

这道题,我先求出了每年支付的费用是1,627,然后计算出第一年年末时的金额为8,373。所以第二年的利息为8373*10%=837.3.

这样计算不正确吗?问题出现在哪里?

2 个答案
已采纳答案

源_品职助教 · 2017年02月28日

每年支付的1627既包含了本金,又包含了利息,在第一年中因为利息支付部分为1000,所以用于偿还本金的部分就是627.45.那么剩余本金就是9372.55。你没有分清楚每年还款中是包含利息与本金两部分的。

Elliott Ho · 2017年02月28日

等于是计算第一年年末本金时,第一年还的利息是需要刨除的,对吧

源_品职助教 · 2017年02月28日

是这个意思

maggie_品职助教 · 2017年02月28日

第一年支付1627中只有627是本金的偿还,1000是利息。因此第一年末的本金余额为9372。

Elliott Ho · 2017年02月28日

原来是因为计算第二年的利息时不能用初始金额减去第一年的支付金额作为基数计算,这样理解对吗?

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