Answer: $43,425

## Explanation To calculate the incentive fee with a **hard hurdle rate**, we need to: 1. **Calculate the fund's ending value**: - Initial investment: $1,500,000 - Fund return: 23.3% - Ending value = $1,500,000 × (1 + 0.233) = $1,500,000 × 1.233 = $1,849,500 2. **Calculate the value needed to meet the hard hurdle rate**: - Hard hurdle rate: 4% - Minimum required value = $1,500,000 × (1 + 0.04) = $1,500,000 × 1.04 = $1,560,000 3. **Calculate the incentive fee base**: - With a hard hurdle rate, the incentive fee is only applied to returns **above** the hurdle rate - Excess return = Ending value - Minimum required value = $1,849,500 - $1,560,000 = $289,500 4. **Calculate the incentive fee**: - Incentive fee rate: 15% - Incentive fee = $289,500 × 0.15 = $43,425 **Verification**: - Option A ($38,445) would be incorrect - this might be calculated by applying the incentive fee to the total return without considering the hurdle rate properly - Option B ($43,425) is correct - Option C ($52,425) would be incorrect - this might be calculated by applying the incentive fee to the total gain ($349,500 × 0.15 = $52,425) without considering the hurdle rate **Key Concept**: With a **hard hurdle rate**, the incentive fee is only calculated on returns that exceed the hurdle rate. This differs from a **soft hurdle rate** where the incentive fee applies to all returns if the hurdle rate is met.

Author: LeetQuiz .