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梦梦 · 2024年09月20日

为啥第二年年初的资产总量不把第一年的收益率算上呢?

NO.PZ2023091802000012

问题如下:

An analyst at a hedge fund is estimating the incentive fees the hedge fund has earned over the last two years. The hedge fund documentation states that management fees are calculated based on the value of the fund's assets at the beginning of each year. The analyst has the following information about the hedge fund:

Management fee: 2%

Incentive fee: 20%

Asset value at beginning of year 1: USD 200 million

Return on assets in year 1: 20%

Return on assets in year 2: 10%

Which of the following is closest to the total amount of incentive fees the hedge fund collects over the 2-year period?

选项:

A.

USD 6.6 million

B.

USD 10.9 million

C.

USD 12.6 million

D.

USD 15.4 million

解释:

B is correct. The hedge fund returns and fees are shown in the table below:

The amount of incentive fees the hedge fund collects over the two year period is = 7.2 + 3.661 = USD 10.861 million. The amount of management fees the hedge fund collects over the two year period is = 4 + 4.576 = USD 8.576 million.

A Is incorrect. Returns are taken as 10 % in both years. The first year incentive fee is calculated as 3.2 million. The second-year assets at the beginning of the year is 212.8 million, so the return is 21.28 million, and incentive fees are 3.405 million. The two year total is 6.605 million.

C Is incorrect. Management fees are not subtracted from the incentive fee in this answer choice. The first-year incentive fee would be calculated as 8 million, the second year incentive fee is calculated as 4.56 million, so the two year total is 12.56 million.

D Is incorrect. Returns are taken as 20% in both years. First year incentive fee remains 7.2 million. The second year incentive fee is calculated as 8.237 million, so the two year total is 15.437 million.

老师好,为啥第二年年初的资产价值,不把第一年的收益率计算上呢?资产增值了,也就是200*(1+20%)-4-7.2呢?

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已采纳答案

李坏_品职助教 · 2024年09月20日

嗨,努力学习的PZer你好:


算过了return了。答案的表格里的228.8算法不对,应该有一个+40。


第一年一开始的资产是200,扣掉4块钱管理费,加上40块钱的return,扣掉7.2的incentive fees,最后就是200-4+40-7.2 = 228.8.


这数字也就是第二年一开始的资产。

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梦梦 · 2024年09月20日

好的,懂了,谢谢

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