NO.PZ2022123001000004
问题如下：
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:
选项：
A.€1. B.€6. C.€455.解释：
With continuous compounding, the investment earns:
€1,000,000e0.03(4) – €1,000,000= €1,127,496.85 – €1,000,000= €127,496.85
With daily compounding, the investment earns:
€1,000,000(1 + 0.03/365)365(4) – €1,000,000 = €1,127,491.29 – €1,000,000 =€127,491.29.
The difference between continuous compounding and daily compounding is
€127,496.85–€127,491.29 =€5.56, or ≈€6
这个e是啥
