NO.PZ2022123001000003
问题如下:
The nominal (quoted) annual interest rate on an automobile loan is 10%. The effective annual rate of the loan is 10.47%. The frequency of compounding periods per year for the loan is closest to:
选项:
A.weekly. B.monthly. C.quarterly.解释:
The effective annual return is: EAR = (1 + Periodic interest rate)m -1 For weekly compounding, (1 + 0.10 / 52)52 — 1 = 0.10506 = 10.50%
For monthly compounding, (1 + 0.10 / 12) 12 — 1 = 0.10471 = 10.47%
For quarterly compounding, (1 + 0.10 / 4)4 — 1 = 0.10381 = 10.38% Thus, the correct answer is monthly compounding.