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Risk of Ruin Calculator

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Risk of ruin is the chance that a losing streak takes your bankroll down to a level you cannot come back from before your run of bets is over. Take a real 5-point edge — you think 55%, the price is 50¢ — over 200 bets. Staking the Kelly amount, 10% of the bankroll each time, halves the bankroll at some point in 37% of simulations; half Kelly cuts that to 8%, and double Kelly raises it to 78% while the median result falls to 0.97× the start.

Risk of ruin calculator

Kelly stake for these numbers—
Chance of falling to the ruin level—
Median final bankroll—
Chance of finishing ahead—

2,000 simulated bankrolls, each staking the same share of its current balance on independent bets, before fees. The result is only as good as your probability: if your edge is smaller than you think, the real risk is higher.

How the stake size changes the risk

The same 5-point edge (you think 55%, the price is 50¢) over 200 bets, 4,000 simulated bankrolls for each stake size:

Stake per betHalves at some pointMedian resultFinishes ahead
2.5% quarter Kelly0%1.55×89%
5% half Kelly8%2.12×86%
10% full Kelly37%2.72×74%
20% double Kelly78%0.97×48%
30% triple Kelly94%0.04×21%

Median result = the middle final bankroll as a multiple of the start. Betting more than the Kelly stake adds risk without adding long-run growth.

How it works

Each bet buys a contract at price c. A win pays 1/c − 1 per dollar staked and a loss costs the stake. Because every bet is a share of the current balance, the bankroll never reaches exactly zero, so ruin here means falling to a level you choose — half the starting bankroll by default. The Kelly stake, (q − c) / (1 − c), is the share that maximises long-run growth when your probability q is right; at around twice that, long-run growth drops to roughly zero. Size single bets with the Kelly calculator, check the edge with the expected value calculator, or read about the Kelly criterion in the glossary.

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Frequently asked questions

What is risk of ruin?

The chance that a run of losses takes a bankroll down to a level you cannot or will not recover from — here, a chosen share of the starting bankroll — before your planned number of bets is over.

How much of my bankroll should I stake per bet?

The Kelly stake, (q − c) / (1 − c), maximises long-run growth if your probability is right. Because estimates are uncertain, many traders stake half or a quarter of it: in the example above, half Kelly halves the bankroll in about 8% of simulations against 37% at full Kelly.

Why can I lose money with a real edge?

Losing streaks happen even when every bet has positive expected value. The larger each stake is relative to the bankroll, the more likely a streak cuts it down before the edge pays off.

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