Answer:
The management fee is $180 million x 2% = $3.6 million.
Excess dollar return above the market is ($180 million x 15%) - ($180 million x 10%) = $9 million.
Performance fee is $9 million x 20% = $1.8 million.
Total fees earned by the manager over the year are $3.6 million + $1.8 million = $5.4 million.