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CiciZ · 2022年11月04日

先算了EAR，结果不一致

  1. CFA I
  2. Quantitative

NO.PZ2015120604000016

问题如下：

An investor invests $180,000  today . Assume the interest rate is 10% and the investment can coumpound daily. after 2 years, the value of the investment will be :

选项：

A.

$217,800.

B.

$198,928.

C.

$219,846.

解释：

C is correct.

N = 2 × 365 ;

I/Y = 10 / 365 ;

PMT = 0;

PV = -180,000;

CPT  FV = $219,846.47

先计算出了EAR=1.005%，然后I/Y输入1.005，N=2，PV=-180000，最后求出FV=183636.1805，为什么会不一致呢？

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1 个答案

星星_品职助教 · 2022年11月04日

同学你好，

1）EAR=（1+10%/365）^365 -1 =10.5156%。I/Y=10.5156，N=2，PV=-180,000，PMT=0，CPT FV=219,846.4743。

2）本题不需要专门转化EAR，用期间利率可以更快捷的得到答案，这种算法即答案解析的解法。

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