Monte Carlo / Kelly criterion

Kelly Risk Simulator

Estimate full Kelly from win rate and payoff, scale it to a safer fraction, then watch how trade order changes growth, drawdown and survival across hundreds of bot paths.

Fractional Kelly sizingRisk recalculated from current equity

Simulation inputs

Kelly
USD
%
R
%
25% is quarter Kelly.
%
mo
×
% start
Calculated full Kelly

Each run samples new wins and losses independently from the entered win rate.

Kelly risk usedafter fraction and cap
Risk of ruinpaths below the ruin floor
Chance of targetpaths reaching the growth goal
Median final balanceat the horizon
Bot paths testedindependent trade sequences

All simulated equity paths

All botsBest path · P90Median path · P50Worst path · P10
Hover or tap to inspect any bot path and its P/LLog scale · months

Three outcome cases

Cases are selected by final-balance percentile, not hand-picked paths.

Best caseP90
Status
Failure / horizon
Max drawdown
Longest loss streak
Trades (W / L)
Target reached
Median caseP50
Status
Failure / horizon
Max drawdown
Longest loss streak
Trades (W / L)
Target reached
Worst caseP10
Status
Failure / horizon
Max drawdown
Longest loss streak
Trades (W / L)
Target reached
Purpose

Scale risk to the strength of the edge.

The Kelly formula estimates the growth-maximising fraction of equity from win probability and payoff. This simulator uses fractional Kelly and a hard risk cap so you can compare long-run growth with the drawdowns produced by different trade sequences.

Full Kelly is mathematically aggressive and depends on perfectly estimated inputs. Estimation error, changing edge, costs and correlated losses can make real drawdowns much worse. Fractional Kelly does not remove risk.
01
Enter a measured edge

Use realised win rate and average reward:risk from enough trades to reduce estimation noise.

02
Reduce the Kelly fraction

Quarter or half Kelly intentionally trades some theoretical growth for lower position size and usually lower volatility.

03
Check the poor sequence

If the P10 path or ruin probability is unacceptable, lower the Kelly fraction or the maximum risk cap.

Read the guide to equity paths, percentiles and risk of ruin →