Private Equity & Exit OppsHard

Without a calculator, how do you approximate the IRR for an arbitrary MOIC and hold period — say 4.0x over 6 years?

Model answer

Two techniques. (1) Doubling decomposition: 4.0x = doubling TWICE. Twice in 6 years = one doubling every 3 years, and 2x in 3 years ≈ 26% — so 4.0x/6yr ≈ 26% (exact: 4^(1/6) = 2^(1/3) ≈ 1.26 — spot…

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