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张大靖 · 2020年12月18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%.

为什么不用e的0.04次方-1算呢

1 个答案

星星_品职助教 · 2020年12月18日

同学你好,

用e的背景是continuous compounding,即每时每分每秒都在复利。

这道题的选择里并没有给出这种可能,否则也是需要检查的