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%