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SuzieW · 2022年04月28日

老师,0时刻的现金流不应该是10m吗

NO.PZ2017092702000030

问题如下:

At the beginning of Year 1, a fund has $10 million under management; it earns a return of 14% for the year. The fund attracts another $100 million at the start of Year 2 and earns a return of 8% for that year. The money-weighted rate of return is most likely:

选项:

A.

less than the time-weighted rate of return.

B.

the same as the time-weighted rate of return.

C.

greater than the time-weighted rate of return.

解释:

A is correct.

The money-weighted rate of return is found by setting the present value (PV) of investments into the fund equal to the PV of the fund’s terminal value. Because most of the investment came during Year 2, the measure will be biased toward the performance of Year 2. Set the PV of investments equal to the PV of the fund’s terminal value: 10+1001+r=10×1.14×1.08+100×1.08(1+r)210+\frac{100}{1+r}=\frac{10\times1.14\times1.08+100\times1.08}{{(1+r)}^2}   Solving for r results in r = 8.53%. The time-weighted return of the fund is =(1.14)(1.08)21=10.96\sqrt[2]{{(1.14)}{(1.08)}}-1=10.96

算mwrr的公式 我计算的是: -10+10/(1+r)+(10*1.14+100)*1.08/(1+r)2=0


这个算法是错在哪里了呢

1 个答案

Kiko_品职助教 · 2022年04月29日

嗨,爱思考的PZer你好:


2时刻现金流是100,而且你的符号有问题哦。前两次都是投进去的,所以我们用负号,最后取出来是收益,用正号。

-10-100/(1+r)+(10*1.14+100)*1.08/(1+r)2=0

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努力的时光都是限量版,加油!

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