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小可爱和大灰狼 · 2019年11月09日

问一道题:NO.PZ2017092702000003

问题如下:

A bank quotes a stated annual interest rate of 4.00%. If that rate is equal to an effective annual rate of 4.08%, then the bank is compounding interest:

选项:

A.

daily.

B.

quarterly.

C.

semiannually.

解释:

A is correct.

The effective annual rate (EAR) when compounded daily is 4.08%. EAR = (1 + Periodic interest rate)m – 1   EAR = (1 + 0.04/365)365 – 1   EAR = (1.0408) – 1 = 0.04081 ≈ 4.08%.

我用代入法得到B选项的EAR为4.079%

1 个答案

星星_品职助教 · 2019年11月09日

同学你好,

代入m=4, 1+ EAR=(1+4%/4)^4,可求得EAR=4.0604%

代入m=365,可求得EAR=(1+4%/365)^365=4.0808%

可以对比一下你的计算过程,加油。