题目
A bank quotes an interest rate of 7.0% per annum with quarterly compounding. What is the equivalent rate with, respectively, continuous compounding and annual compounding?
选项
A.6.739% (continuous) and 7.486% (annual)
B.6.829% and 7.366%
C.6.939% and 7.186%
D.7.139% and 6.886%
答案
C
解析
Rate with continuous compounding = 4×LN(1 7%/4)=6.939% .Rate with annual compounding =[(1 7%/4)]^4-1=7.186%连续复利下的利率= 4×LN(1＋7%/4)=6.939% 。按年复利下的利率=[(1＋7%/4)]^4-1=7.186%