题目
An investment of €500,000 today that grows to €800,000 after six years has a stated annual interest rate closest to:
选项
A.7.5% compounded continuously.
B.7.7% compounded daily.
C.8.0% compounded semiannually.
答案
C
解析
C is correct, as shown in the following (where FV is future value and PV is present value):「huixue_img/importSubject/1564548694332805120.png」
C正确。 FV=PV*(1＋rs/m)^(m*N) 500,000*(1＋EAR)^6=800,000 求得EAR=8.148375%，选择ABC中EAR与之最接近的。 A中EAR=e^7.5%-1=7.7884% BAII Plus计算器，2ND 2页面下，2ND CE/C清楚历史记录，分别求： B中的EAR：NOM=7.7，C/Y=365，CPT EFF=8.003331（计算结果没有带%） C中的EAR：NOM=8，C/Y=2，CPT EFF=8.16（计算结果没有带%）