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尼克内姆 · 2020年01月27日

问一道题:NO.PZ2015121801000136 [ CFA I ]

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. 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 measure will be biased toward the performance of Year 2. The cash flows are as follows:
CF
0 = -10
CF
1 = -100
CF
2 = +120.31

The terminal value is determined by summing the investment returns for each period [(10 × 1.14 × 1.08) + (100 × 1.08)] results in a value of r = 8.53%

The time-weighted return of the fund is = [(1.14)(1.08)] ^2-1= 10.96%

何老师总结,有资金进,mwrr>twrr,这个结论不对吗?

2 个答案

晓彤💫 · 2020年02月13日

TWRR是按时间期限作为权重,这道题一共两年,14%和8%各占一年,可以视作等权重,而MWRR就是以投入的钱的数量作为权重,第二期投入100,第一期投入10,那么第二期的权重就要更大,第二期8%收益率较小但是占的权重更多,所以一定比twrr等权重计算出来的数字要小。


🐳Sakura · 2020年01月27日

MWRR的值更接近于投资金额更多的那一期Return,TWRR更接近于算术平均值,所以这道题目来讲是钱多那一期Return小于平均值,也就是MWRR比TWRR小

尼克内姆 · 2020年01月28日

这是你自己总结的吗??

🐳Sakura · 2020年01月28日

这是老师总结的呀,而且你可以自己根据公式推导得出呀

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