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Frances · 2024年06月12日

哪个更取决于Investor的投资时期来着?

NO.PZ2023080903000026

问题如下:

Consider the investment summarized in the table below:

Year Activity

Start of Year 1 One unit purchased at $90

End of Year 1 $5.00 dividend/unit paid and one additional unit purchased at $135

End of Year 2 $5.00 dividend/unit paid and both units are sold for $130 per unit

If dividends are not reinvested, how does the money-weighted return compare to the time-weighted return?

选项:

A.

Lower

B.

The Same

C.

Higher

解释:

The time-weighted rate of return (TWR) can be calculated using the formula:

TWR = [(1 + HPRYear 1) × (1 + HPRYear 2)]1/2 − 1.

Where: HPRYear 1 = ($135 − $90 + $5)/$90 = 55.56%

HPRYear 2 = ($260 − $270 + $10)/$270 = 0%

Therefore, TWR = [(1 + 0.5556) × (1 + 0%)]1/2 − 1 = 24.72%.

The money-weighted rate of return (MWR) can be calculated using the formula provided in the text.

Using the cash flow (CF) function of a financial calculator:

CF0 = −$90

CF1 = (−$135 + $5)

CF2 = ($260 + $10)

Solving for IRR: MWR or IRR = 15.43%.

MWR更取决于投资者投资的时期?比如刚投就降价了,是MWR还是TWR来着?

1 个答案

品职助教_七七 · 2024年06月12日

嗨,爱思考的PZer你好:


MWRR取决于现金流是什么时候投的。MWRR这个收益率可以理解成一个以现金流为权重的加权平均。如果高收益率那期对应的现金流大,最终收益率就大。

所以,如果刚大投入,收益率就降了,就会带动最后总收益率也低。

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