Monte Carlo Simulation of a GP Promote. The GP's promoted interest (π) gives the operating partner a share of the joint venture's returns only after the preferred return (ψ) has been achieved. If the venture's gross return is x, the preferred return is ψ, and the promote percentage is κ, the promote paid is
π = κ × max(x − ψ, 0)    and the investor nets  η = x − π
The simulation generates many possible joint venture returns based on the assumed expected return (μ) and volatility (σ), with each simulated return representing one possible future outcome. The histogram illustrates the distribution of these simulated returns, split at the preferred return (the hurdle, which acts as the strike price of the option): below the hurdle no promote is paid, above the hurdle the GP receives κ × (Return − Preferred Return). The summary statistics report the expected promote, its volatility, the probability that a promote is paid, and the investor's expected net return after paying the promote.
This visualization demonstrates how uncertainty in investment returns translates into the GP's expected compensation. Because the GP receives no payoff below the hurdle but shares in the upside above it, the promoted interest has the same payoff structure as a call option, and its expected value is driven by volatility rather than by expected return alone. A portfolio section below shows how correlation across five ventures affects the distribution of promotes paid.
Assumptions
Expected gross return μ12.0%
Volatility σ15.0%
Preferred return ψ12.0%
Promote κ20%
Number of draws
Expected promote E[π]
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Std. dev. of promote
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Investor's net return E[η]
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Std. dev. of net return
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Simulated gross return
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Std. dev. of gross returns
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A portfolio of five correlated ventures

Correlation ρ between ventures0.00

Five ventures share the assumptions above, with pairwise correlation ρ between their gross returns. Correlation leaves each venture's expected promote unchanged, but it changes the distribution of the promote bill across the portfolio: when ventures move together, good years promote everything at once and bad years promote nothing, fattening both tails. Drag the slider and watch the histogram spread.

Run at 250 draws a few times to see how noisy a small sample can be; the spread narrows as the number of draws grows. The methodology follows the accompanying Excel workbook, which replicates the same procedure with 250 draws and an editable correlation matrix.