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Suppose equity investors have an agreement whereby the general partner/sponsor will split everything with the limited partners pari passu until an equity multiple of 3.00

Suppose equity investors have an agreement whereby the general partner/sponsor will split everything with the limited partners "pari passu" until an equity multiple of 3.00 is reached, then the GP/Sponsor will be entitled to a promote equal to 90% of any additional returns.

The sponsor/GP has invested 10% of the equity, and the limited partners have invested 90% of the equity.

What is the expected IRR of the sponsor/GP given the levered cash flows below?

CF0: -1,000,000 CF1: 200,000 CF2: 400,000 CF3: 600,000 CF4: 2,200,000

34.2%

62.9%

18.5%

42.1%

92.4%

80.0%

71.3%

32.6%

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