Module 2 · Foundation
Risk management & position sizing
Position sizing, Kelly criterion, stop placement, and the math of drawdown survival.
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Position sizing calculator
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Position size ($) = Account × Risk% ÷ Stop distance%
Effective leverage = Position size ÷ Account
Risk:reward = Distance to target ÷ Distance to stop
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Recall
In disciplined sizing, leverage is…
Kelly criterion explorer
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Kelly % = W − (1 − W) / R
W = win rate · R = avg win ÷ avg loss
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Recall
Why use Half Kelly instead of Full Kelly in live trading?
Drawdown recovery asymmetry
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| Drawdown | Recovery needed | Recovery burden | Verdict |
|---|---|---|---|
| 10% | +11.1% | Light | Manageable |
| 25% | +33.3% | Moderate | Painful but survivable |
| 50% | +100% | Severe | Account doubling required |
| 75% | +300% | Extreme | Effectively unrecoverable |
| 90% | +900% | Terminal | Game over |
Drawdown recovery is brutally non-linear. A 50% loss needs a 100% gain just to break even. This asymmetry is the entire mathematical argument for capping risk per trade at 1–2%.
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Recall
A 50% drawdown requires what gain to break even?