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咖啡巧克力 · 2024年09月22日

year 1 end of year value

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%.

请问第一年年末价值为何是135?第二年初始价值为何是135*2?第一年90元的具体收益怎么计算?谢谢。

1 个答案

品职助教_七七 · 2024年09月22日

嗨,爱思考的PZer你好:


题目中说明第一年末新买股票价格为135,说明此时股价已涨到135。由于股利不参与再投资,所以不需要考虑这个5。所以,此时账户里的全部价值就是首支股票的135。

第二年年初时有两只价值135的股票,故初始价值为135*2。

第一年的收益是$135 − $90 + $5,不是90.

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