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Tier 1Lesson 4 of 20

Risk:Reward & Position Sizing

The math that keeps you solvent

10 min+50 XP Size the Trade

Strategy decides how often you win. Risk management decides whether you are still trading next year. Every professional desk sizes positions from the stop, not from conviction — and the maths below is the reason.

01Think in R

R is the amount you lose if your stop is hit. If you risk $500, then 1R = $500, a $1,500 winner is +3R and a full stop-out is −1R. Measuring in R lets you compare trades, strategies and markets on one scale.

97.5100.0102.5105.0Entry 100Reward +2R (target 104)Risk −1R (stop 98)
IllustrativeEntry 100, stop 98, target 104: risk 2 points to make 4 — a 1:2 risk-to-reward trade.

02Position sizing: the one formula that matters

Position size
size = (account × risk %) ÷ (stop distance × value per point)
Round down to the nearest whole contract, lot step or share.

Example: a $50,000 account risking 1% has $500 to lose. A 25-point stop on NQ ($20 per point) risks $500 per contract → 1 contract. The same stop on MNQ ($2 per point) risks $50 per contract → 10 contracts. Micros exist precisely so smaller accounts can size correctly.

Position sizerInteractive
Account size
$
Instrument
Risk per trade1.00%
Stop distance (points)
Risk budget
$500
Position size
10 contracts
Actual risk
$500
Pro insightRisk is set before entry

Professionals decide the stop first (where the idea is wrong), then let the formula decide size. Never pick a size and then place the stop wherever the dollars run out.

03Win rate and payoff work together

Breakeven win rate
1 ÷ (1 + reward:risk)
At 2:1 you only need to win 33.3% of trades to break even.
Expectancy (R per trade)
win rate × average win − loss rate × average loss
Win rate × rewardInteractive
Reward : risk1 : 2.0
Win rate40%
Breakeven win rate
33.3%
Expectancy
+0.20R
100 trades at $500 risk
+$10,000
Reward : riskBreakeven win rateExpectancy at 40%
1 : 150.0%-0.20R
1 : 1.540.0%+0.00R
1 : 233.3%+0.20R
1 : 325.0%+0.60R
1 : 420.0%+1.00R

A 40% win rate with 2R winners has expectancy 0.4 × 2 − 0.6 × 1 = +0.2R per trade. Over 100 trades at $500 risk that is +$10,000. A 70% win rate with 0.4R winners and 1R losers is −0.02R — busy, popular and slowly broke.

04Drawdowns are asymmetric

LossGain needed to recover
−10%+11.1%
−20%+25.0%
−30%+42.9%
−50%+100%
−75%+300%
Watch outLosing streaks are normal

A system that wins 40% of the time will hit 8 losses in a row roughly once every 150 trades — several times a year for an active trader. At 5% risk per trade that streak is a −34% drawdown; at 1% it is −8%. Size so that the losing streak you will certainly meet cannot end your career.

Key takeaways
  • 1R = the money you lose if the stop is hit.
  • Size = (account × risk %) ÷ (stop distance × value per point).
  • Breakeven win rate = 1 ÷ (1 + reward:risk).
  • Expectancy, not win rate, decides profitability.
  • Keep risk at 0.25–1% so normal losing streaks are survivable.
Common mistakes
  • Sizing by gut feel or by how confident you are
  • Chasing high win rates with tiny targets and big stops
  • Risking more after losses to win it back

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