Angel Investment Risk-Adjusted Return

10,000 angel investment, 20% success chance returning 10× (100,000), 80% failure (total loss): expected value 20,000. 2× on invested capital expected. Angel investing needs portfolio of 10-20 deals to smooth outcome — single bets are coin flips with 80% loss rate.

Quick example

With investment of 10,000 and success probability of 20% (plus success multiple of 10 and loss on failure of 100%), the result is 20,000.00. Change any figure and watch the output shift — it's often more useful to see the pattern than to memorise the formula.

Which inputs matter most

You enter Investment, Success Probability, Success Multiple, and Loss on Failure. The rate and the time horizon usually dominate — compounding means a small change in either reshapes the final figure more than a similar shift in contribution size. Test this by doubling one input at a time.

What's happening under the hood

Probability-weighted expected value. The formula is listed in full below. If the number looks off, you can retrace the calculation by hand — that's the point of showing the working.

Why investors run this

Most people's intuition for compounding is wrong — not because the math is hard, but because linear thinking doesn't account for curves. Running numbers through a calculator like this one is the cheapest way to recalibrate that intuition before making an irreversible decision about contribution rate, asset mix, or retirement age.

What this doesn't capture

Steady-rate math ignores real-world volatility. Actual returns are lumpy; sequence-of-returns risk matters most in drawdown; fees and taxes drag on compound growth; and behaviour changes in drawdowns can reduce outcomes below the projection. The number represents one scenario rather than a forecast.

Worked example

An angel investor commits 50,000 to an early-stage technology venture. Historical data and due diligence suggest a 25% probability of meaningful success. If successful, the stake is forecast to grow to 500,000 (a 10× multiple). If the venture fails, the investor expects to recover nothing (100% loss).

• Success scenario: 50,000 × 10 = 500,000 (occurs 25% of the time)
• Failure scenario: 50,000 × 0 = 0 (occurs 75% of the time)
• Probability-weighted result: (500,000 × 0.25) + (0 × 0.75) = 125,000
• Expected value on invested capital: 125,000 ÷ 50,000 = 2.5×

This shows that, on average, the deal is expected to return 2.5 times the initial stake. However, this average masks a binary outcome: the investor will either lose the entire stake or gain significantly. A single deal carries substantial downside risk, which is why portfolio diversification across multiple investments helps reduce variance in overall returns.

When this matters

Angel investment assessment is one context where this calculation appears. It also applies to early-stage venture rounds, startup equity compensation decisions, and portfolio stress-testing in scenarios with asymmetric payoff structures—where outcomes cluster around two poles (success or failure) rather than spreading normally around a central value.

The metric becomes less applicable when outcomes are continuous (such as bond yields or dividend stocks) or when the investment is held as part of a passive index fund where downside risk is distributed across hundreds of holdings.

Important limitations

This calculator models expected value under stated assumptions. It does not account for illiquidity (how long capital remains locked in), follow-on rounds, dilution of ownership stakes, tax treatment on gains, or the psychological and opportunity costs of capital tied up in an illiquid asset. The output is an estimate for educational illustration only and reflects a simplified model of a complex reality.