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Excelsior Management Co., a prominent hedge fund manager pursuing an event-driven strategy, charges a management fee of 1.5% per annum and an incentive fee of

Excelsior Management Co., a prominent hedge fund manager pursuing an event-driven strategy, charges a management fee of 1.5% per annum and an incentive fee of 15% on any "net new profits" (i.e., above the previous high water mark) earned by its fund after deducting this management fee. All fees are charged and collected at the end of each year. Over the past three years, the Fund generated the following gross returns (i.e., prior to any fees being charged):

Year 1 +20%

Year 2 -10%

Year 3 +5%

By how much must the Fund appreciate in Year 4 in order to hit its high water mark, which would allow the manager to begin to charge the incentive fee once again?

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