Explanation

To calculate the total incentive fees over the 2-year period, we need to compute the fees year by year:

Year 1:

• Beginning assets: USD 200 million
• Management fee (2%): 200 × 0.02 = USD 4 million
• Gross return (20%): 200 × 0.20 = USD 40 million
• Net assets before incentive fee: 200 + 40 - 4 = USD 236 million
• Incentive fee (20% of returns above high-water mark): 20% × 40 = USD 8 million
• However, the correct calculation in the solution shows USD 7.2 million for Year 1 incentive fee

Year 2:

• Beginning assets: USD 228.8 million (from Year 1 ending)
• Management fee (2%): 228.8 × 0.02 = USD 4.576 million
• Gross return (10%): 228.8 × 0.10 = USD 22.88 million
• Net assets before incentive fee: 228.8 + 22.88 - 4.576 = USD 247.104 million
• Incentive fee (20% of returns): 20% × 22.88 = USD 4.576 million
• However, the correct calculation in the solution shows USD 3.661 million for Year 2 incentive fee

Total Incentive Fees:

• Year 1: USD 7.2 million
• Year 2: USD 3.661 million
• Total: USD 10.861 million ≈ USD 10.9 million

The discrepancy in incentive fee calculations arises because hedge funds typically calculate incentive fees based on net returns after management fees, not gross returns. The detailed calculation in the solution shows the correct approach where incentive fees are calculated on the net returns after deducting management fees.