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ziyingchen10 · 2020年11月18日

问一道题:NO.PZ2015121801000135

问题如下:

A fund receives investments at the beginning of each year and generates returns
as shown in the table.


Which return measure over the three-year period is negative?

选项:

A.

Geometric mean return

B.

Time-weighted rate of return

C.

Money-weighted rate of return

解释:

C is correct. The money-weighted rate of return considers both the timing and amounts of investments into the fund. To calculate the money-weighted rate of return, tabulate the annual returns and investment amounts to determine the cash flows

CF0 = –$1,000, CF1 = –$2,850, CF2 = –$40,440, CF3 = +$43,200

Each cash inflow or outflow occurs at the end of each year. Thus, CF0 refers to the cash flow at the end of Year 0 or beginning of Year 1, and CF3 refers to the cash flow at end of Year 3 or beginning of Year 4. Because cash flows are being
discounted to the present—that is, end of Year 0 or beginning of Year 1—the period of discounting CF
0 is zero whereas the period of discounting for CF3 is 3 years. Results in a value of r = –2.22%

Note that B is incorrect because the time-weighted rate of return (TWR) of the fund is the same as the geometric mean return of the fund and is thus positive

有点混了这3个计算,请问能算一次这三种算法吗?

1 个答案

丹丹_品职答疑助手 · 2020年11月18日

嗨,爱思考的PZer你好:


同学你好,对于几何求解和time-weighted rate1000(1+r)^3=(1+15%)(1+14%)*(1-4%)得出r=7.97%


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