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司晨 · 2021年04月20日

这道题能用N I/Y PV PMT FV算出来么？

  1. CFA I
  2. Quantitative

NO.PZ2017092702000007

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.

N=4

I/Y=3ex

PV=-1m

PMT=0

FV算出来么？

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1 个答案

星星_品职助教 · 2021年04月20日

同学你好，

不确定你写的“I/Y=3ex”是什么意思。

continuous compounding的情况下需要用到公式，不能直接按计算器。

对于daily compounding部分，计算器按键如下：

PV= -1m； N=365×4； I/Y=3/365； PMT=0； CPT FV=1.1275m

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