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Ivana 🍭 · 2023年07月24日

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NO.PZ2018053101000017

问题如下:

A hedge fund has the following fee structure:

Annual management fee based on year-end AUM                2%

Incentive fee                                             20%

Hurdle rate before incentive fee collection starts                 4%

Current high-water mark                                 $610 million

The fund has a value of $583.1 million at the beginning of the year. After one year, it has a value of $642 million before fees. The net return to an investor for this year is closest to:

选项:

A.

6.72%.

B.

6.80%.

C.

7.64%.

解释:

C is correct.

The management fee for the year is $642 × 0.02 = $12.84 million.

Because the ending value exceeds the high-water mark, the hedge fund can collect an incentive fee. The incentive fee is

{$642  [$610 × (1 + 0.04)]} × 0.20 = $1.52 million.

The net return to the investor for the year is

[($642  $12.84  $1.52)/$583.1]  1  0.07638  7.64%.

管理费=年底AUM*管理费率=$642 × 0.02 = $12.84 million

因为642>610, 达到了之前高水位要求,可以拿到绩效奖

绩效奖=[$642 ($610 × 1.04)]× 0.20 = $1.52 million

所以总费用=$12.84 million+$1.52 million=14.36million

所以净收益=[($642 – $14.36)/$583.1]-1= 7.64%.

注意这里的hurdle rate是在高水位水平上进行计算,而不是年初的AUM。

老师这题若将hudle rate 变为soft hurdle rate的话,请问基准怎么算?

1 个答案

Lucky_品职助教 · 2023年07月24日

嗨,爱思考的PZer你好:


如果将hurdle rate改为soft hurdle rate,基准的计算方式会有所不同。在这种情况下,基准收益率将被调整以考虑到hurdle rate之上的任何超额收益。

假设soft hurdle rate为4%,计算基准收益率的方法如下:

  1. 计算基准收益:基准收益 = 年初AUM × soft hurdle rate = $583.1 million × 0.04 = $23.32 million。
  2. 计算超额收益:超额收益 = 结束时价值 - 基准收益 = $642 million - $23.32 million = $618.68 million。
  3. 计算绩效奖:绩效奖 = 超额收益 × incentive fee = $618.68 million × 0.20 = $123.736 million。
  4. 计算总费用:总费用 = 管理费 + 绩效奖 = $12.84 million + $123.736 million = $136.576 million。
  5. 计算净收益:净收益 = (结束时价值 - 总费用)/ 年初AUM - 1 = ($642 million - $136.576 million)/$583.1 million - 1 ≈ 0.1227 ≈ 12.27%。

因此,在soft hurdle rate的情况下,该投资者在该年的净回报率将近为12.27%。

需要注意的是,soft hurdle rate是一种相对较低的基准,超过该水平的收益将触发绩效奖。绩效奖通常会根据超额收益进行计算,并且会在总费用中进行调整。

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