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An analyst gathers the following information about a hedge fund:Beginning-of-year assets under management (AUM) $80,000,000Management fee (based on end-of-year AUM) 2.0%Incentive fee 20.0%Soft hurdle rate 5.0%Gross return for the year 12.5%If the incentive fee is calculated independently of the management fee, total fees for the year are:A.$3,000,000.B.$3,440,000.C.$3,800,000.

Question

An analyst gathers the following information about a hedge fund:Beginning-of-year assets under management (AUM) 80,000,000Managementfee(basedonendofyearAUM)2.080,000,000Management fee (based on end-of-year AUM) 2.0%Incentive fee 20.0%Soft hurdle rate 5.0%Gross return for the year 12.5%If the incentive fee is calculated independently of the management fee, total fees for the year are:A.3,000,000.B.3,440,000.C.3,440,000.C.3,800,000.

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Solution

To calculate the total fees for the year, we need to calculate both the management fee and the incentive fee.

  1. Management Fee: This is based on the end-of-year assets under management (AUM). Since the gross return for the year is 12.5%, the end-of-year AUM would be 80,000,000(1+12.5/100)=80,000,000 * (1 + 12.5/100) = 90,000,000. The management fee is 2.0% of this, which is 90,000,0002/100=90,000,000 * 2/100 = 1,800,000.

  2. Incentive Fee: This is 20.0% of the returns above the soft hurdle rate of 5.0%. The returns for the year are 12.5%, so the returns above the hurdle rate are 12.5% - 5.0% = 7.5%. The incentive fee is therefore 20.0% of 7.5% of the beginning-of-year AUM, which is 20/100 * 7.5/100 * 80,000,000=80,000,000 = 1,200,000.

Adding these two together, the total fees for the year are 1,800,000+1,800,000 + 1,200,000 = $3,000,000.

So, the answer is A. $3,000,000.

This problem has been solved

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