Courses / Master Trader Program

Money Management Science

Optimal capital allocation mathematics

Money management science optimizes how much to risk on each trade for maximum long-term growth.

Kelly Criterion: Kelly % = (bp - q) / b Where: b = odds (avg win / avg loss), p = win probability, q = 1-p

Example: 50% win rate, 2:1 R:R Kelly = (2×0.5 - 0.5) / 2 = 25%

In practice, use Half-Kelly (12.5%) or Quarter-Kelly (6.25%) for safety margin.

Anti-Martingale (correct approach): - Increase size when winning (account grows, 1% of larger account) - Decrease size when losing (account shrinks, 1% of smaller account) - This is the opposite of gambling's Martingale system

Fixed Fractional vs Fixed Ratio: - Fixed Fractional: Always risk X% of current balance - Fixed Ratio: Increase lot size at predetermined profit milestones

Pro tip: Full Kelly is too aggressive for real trading. Use Quarter-Kelly (25% of the Kelly % result) for practical implementation..

Common mistake: Using Martingale (doubling down after losses). Better: Martingale guarantees ruin eventually. Use Anti-Martingale (proportional sizing)..

Key takeaways

  • Kelly Criterion calculates mathematically optimal bet size
  • Use Half-Kelly or Quarter-Kelly for safety
  • Anti-Martingale: increase size with growth
  • Fixed Fractional is simplest and most robust

Quiz

  • Kelly Criterion determines: Answer: Optimal bet size for maximum growth. Kelly Criterion mathematically determines the optimal fraction of capital to risk.

Educational content, not financial advice.