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Nicole Cai · 2024年03月07日

time-weighted return

NO.PZ2015121801000136

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)] ^0.5-1= 10.96%

老师,题中的time-weighted return怎么算出来的?用什么公式?

1 个答案

Kiko_品职助教 · 2024年03月09日

嗨,努力学习的PZer你好:


TWRR就是算术平均的方法计算平均收益。第一年14%,第二年8%,(1.14)(1.08)=(1+TWRR)²

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努力的时光都是限量版,加油!

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