题目详情

单选题 CFA-Level1
Given a €1,000,000 investment for four years with a stated annual rate of 3% compounded continuously, the difference in its interest earnings compared with the same investment compounded daily is closest to:
A €1
B €6 正确答案
C €455
正确答案:B
详细解析

B is correct. The difference between continuous compounding and daily compounding is €127,496.85 – €127,491.29 = €5.56, or ≈ €6, as shown in the following calculations. With continuous compounding, the investment earns (where PV is present value)

= €1,127,496.85 – €1,000,000  = €127,496.85.

With daily compounding, the investment earns:

–€1,000,000 =€1,127,491.29–€1,000,000=€127,491.29.      127,496-127,491=6。

分别计算连续复利,以及日复利的终值然后相减。

所属课程:CFA-Level1 考试类型:金融经济考试
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