Note, there is another interpretation of the solution. To calculate the final NAV including fees, we
would first find the final NAV excluding fees with an 8 percent return, which would be:
Now, we can find the final NAV after the fees, which would be:
Notice this answer is $0.06 different than our original calculation. The reason is the assumption
behind the fee withdrawal. The second calculation assumes the fees are withdrawn entirely at the end
As with the Fisher equation, effective annual rates must be used. So, we would need to know the
14. Yr 1: There is no performance fee since the manager had a negative return. So, the only year 1 fee is
Yr 2: The management fee is taken out at the beginning of the year on the new balance, so it is:
The performance fee is 20% of everything over the $1,250,000 high water mark.
15. The cost of the ETF is ($25,000 × .0009) + $25 = $47.50
16. After 3 years: (For every dollar invested)
Class A: $0.9425(1 + .10 – .0023 – .0073)3 = $1.22191
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