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：
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) PVersN - PV = €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.
老师我能理解这道题在考FV=PV*e^r*n 的计算。那么当复利趋于无限时，这个公式没问题。
但是，当利息为每日计算时，我记得EAR的计算公式是：EAR=(1+r/m)^m -1 但是在这道题里面没有体现这个“ - 1” ，只看到用PV*（1+r/m）^ m*n 如果是4年的复利叠加，应该是PV* {1+ [（1+3%/365）^365 - 1]}^4 ?
是不是我记的公式有问题？怎么理解哦？
