Pass Probability
& Risk of Ruin Simulator
Simulate 1,000 independent Monte Carlo trajectories to determine whether your strategy has the mathematical edge to pass Phase 1 & 2 prop firm evaluations before hitting the drawdown floor.
Why 90% of Traders Fail Prop Firm Challenges: The Mathematical Asymmetry
Retail trading education emphasizes technical patterns and entry triggers, but proprietary trading evaluations are strictly exercises in probability distribution under bounded risk boundaries. When a prop firm offers a $100,000 account with an 8% profit target ($8,000) and a 10% maximum drawdown ($10,000), retail traders assume their odds are approximately 50/50.
However, the presence of an additional 5% daily drawdown limit ($5,000) fundamentally alters the risk landscape. In statistical modeling, this is known as a Two-Boundary Gambler's Ruin Problem with an active lower absorbing barrier that moves dynamically across calendar days. If your risk per trade is 1.5% ($1,500), you are exactly 3.3 consecutive losses away from catastrophic account cancellation.
71% Breach Probability
Normal variance produces 4-5 trade losing clusters that breach daily loss caps.
42% Breach Probability
Standard prop risk. Requires minimum 1:2 Risk-to-Reward to maintain positive edge.
<14% Breach Probability
Institutional sizing. Allows up to 10 consecutive losses before violating daily thresholds.
The Expectancy Equation: How to Structure Positive Mathematical Edge
To guarantee that your simulation results trend toward a 70%+ pass probability, your strategy must produce a positive Trade Expectancy in R:
Consider two distinct trading archetypes attempting an FTMO or FundedNext 10% challenge:
- Trader A (The Scalper): 70% Win Rate, but only 1:0.75 Risk-to-Reward ($75 profit vs $100 stop). Trade expectancy = (0.70 × 0.75) - (0.30 × 1.0) = +0.225R. When high-impact news or spread spikes generate a single 2R slip, the system experiences devastating drawdown drawdowns.
- Trader B (The Swing / Day Trader): 45% Win Rate, but 1:2.5 Risk-to-Reward ($250 profit vs $100 stop). Trade expectancy = (0.45 × 2.5) - (0.55 × 1.0) = +0.575R. Trader B has more than 2.5x the mathematical velocity of Trader A, easily overcoming losing streaks.
The 4-Pillar Prop Challenge Risk Protocol
Hard Stop at 2 Daily Losses
Never risk more than 0.75% per trade. If your first 2 trades of the day hit stop loss (-1.50% total), close your charts immediately. You still retain a 3.50% buffer before triggering a daily breach.
Halve Risk During Drawdown
If your account dips into a 3% total drawdown, reduce risk per trade from 0.75% down to 0.35%. This quadruples the number of consecutive losses required to breach the account, protecting your challenge fee.
Differentiate Phase 1 vs Phase 2
Phase 1 typically requires an 8% to 10% target. Once you advance to Phase 2 (usually only 5%), reduce position size by 30%. Slower, defensive execution prevents losing your progress on the final stage.
Verify Midnight Reset Clock
Daily drawdown resets on server time (e.g., 00:00 CE(S)T for FTMO, 17:00 EST for US Futures). Holding floating positions through the reset time recalculates your equity baseline, creating accidental breaches.