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孙佳新 · 2024年11月16日

不计算如何得到答案

NO.PZ2023052302000007

问题如下:

At the beginning of Year 1, a fund has USD10 million under management; it earns a return of 14 percent for the year. The fund attracts another net USD100 million at the start of Year 2 and earns a return of 8 percent for that year. The money-weighted rate of return of the fund is most likely to be:

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. Computation of the money-weighted return, r, requires finding the discount rate that sums the present value of cash flows to zero. Because most of the investment came during Year 2, the money-weighted return will be biased

toward the performance of Year 2 when the return was lower. The cash flows are as follows:

CF0 = −10

CF1 = −100

CF2 = +120.31

The terminal value is determined by summing the investment returns for each period [(10 × 1.14 × 1.08) + (100 × 1.08)]


This results in a value of IRR = 8.53 percent.

The time-weighted return of the fund is calculated as follows:


这道题有关mwr和twr的相关结论是什么,不计算怎么能得出答案的

1 个答案

品职助教_七七 · 2024年11月16日

嗨,从没放弃的小努力你好:


这道题不是计算题。由于MWR受现金流流入的时间影响很大,TWR和MWR的对比就看主要现金流是何时流入的。

本题的两个收益率分别为14%和8%。如果主要的现金流流入后就产生了14%的收益,那么MWR就会大于TWR。相反,如果主要的现金流流入后产生的是8%的收益,那么MWR就会小于TWR。

结合题目。10m的现金流流入后产生了14%的收益率,100m的现金流流入后产生了8%的收益率。显然主要的现金流是在8%这个阶段流入的。MWR就会必然小于TWR。



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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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