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Katherine · 2023年08月29日

这题

NO.PZ2021103102000051

问题如下:

A hedge fund has the following feestructure:

  • 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 $580 million at thebeginning of the year. After one year, it has a value of $650 million beforefees. The net percentage return to an investor for this year is closest to:

选项:

A.8.45%

B.

9.29%

C.9.74%

解释:

管理费 = $650 × 2% = $13 m

由于该基金$650 m的期末总价值超过了$610 m的高水位线,基金管理人可以对高于该高水位线但扣除门槛回报率的收益部分,计算奖励费。奖励费计算如下:

{$650 − [$610 × (1 + 0.04)]} × 0.20 = $3.12 m

投资者净回报:[($650 − $13 − $3.12)/$580] − 1 ≈ 9.29%

为什么610要×1.04没有理解

1 个答案

Lucky_品职助教 · 2023年08月30日

嗨,爱思考的PZer你好:


这是因为这个题目中有high-water mark,当有high-water mark的时候,我们需要在high-water mark的基础上 ×(1+hurdle rate).如果没有high-water mark的时候,就是在初始值上面×(1+hurdle rate)

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温酒 · 2024年01月22日

这道题目不是net吗老师,为啥绩效奖不是(650-13-634.4)*20%

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NO.PZ2021103102000051 问题如下 A hee funhthe following feestructure: Annumanagement fee baseon year-enAUM2% Incentive fee20% Hure rate before incentive fee collection starts4% Current high-water mark$610 millionThe funha value of $580 million thebeginning of the year. After one year, it ha value of $650 million beforefees. The net percentage return to investor for this yeis closest to: A.8.45% B.9.29% C.9.74% 管理费 = $650 × 2% = $13 m由于该基金$650 m的期末总价值超过了$610 m的高水位线,基金管理人可以对高于该高水位线但扣除门槛回报率的收益部分,计算奖励费。奖励费计算如下:{$650 − [$610 × (1 + 0.04)]} × 0.20 = $3.12 m 投资者净回报[($650 − $13 − $3.12)/$580] − 1 ≈ 9.29% 首先判断能否拿绩效奖,就是判断有没有超过610和580*1.04对吧?因为这个地方高水位610 580*1.04,所以就采用610,但是后面计算的时候为什么还要计算610*1.04呢,这个hure rate难道不是基于年初初始金额580定的吗?如果我年初的初始投资是600,600*1.04是大于高水位610的,那我后面计算还需要610*1.04*1.04吗,如果不用的话这个定义就挺歧义的?

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