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Risk arithmetic

Planned risk, sizing, streaks, drawdowns and expectancy — the course’s numbers on one page.

Reference sheet · Version: October 2026 · Reviewed October 24, 2026

The definitions the whole folder runs on

TermWhat it means here
Planned riskThe amount budgeted for one idea if it is wrong — a plan, not a cap. A gap or a worse fill can make the realized loss larger.
ROne unit of planned risk for a trade: distance × size, fixed before the trade. Results are recorded against that budget — a $300 actual loss on a $250 budget is −1.2R, not −1R.
SizePlanned risk ÷ distance — always rounded down, never up.
Capital requiredSize × price. A different number from planned risk; a trade must pass both checks.
The smaller-of ruleSize is the smaller of what the risk budget permits and what free capital funds — otherwise, pass.

Sizing, worked once (Lesson 19)

Budget $250, distance $4, price $50: $250 ÷ $4 = 62.5, rounded down to 62 shares. Planned risk: 62 × $4 = $248. Capital required: 62 × $50 = $3,100. With only $2,000 free, capital caps the size at 40 shares and the planned risk falls to 40 × $4 = $160. (Fractional shares, where offered, would plan exactly $250 on 62.5 shares and require $3,125 — the course assumes whole shares unless a plan says otherwise.)

Streaks and drawdowns compound

Losses are charged on the shrinking balance, so percentages do not add flat: at 1% planned risk per trade, three straight losses cost about −2.97% (0.99 × 0.99 × 0.99), and five cost about −4.90% — and that assumes every exit fills at its planned level; a gap can cost more. Recovery is asymmetric the same way:

If the account fallsIt must then gainOn a $25,000 account
−10%+11%$22,500 must earn $2,500
−20%+25%$20,000 must earn $5,000
−30%+43%$17,500 must earn $7,500
−40%+67%$15,000 must earn $10,000
−50%+100%$12,500 must earn $12,500

Same average, different ending (Lesson 21): two years averaging +5% — one path +20% then −10% turns $100 into $108; the smooth path +5% then +5% turns it into $110.25. The loss was charged on the enlarged base.

Expectancy, in R (Lesson 26)

Expectancy = win rate × average win − loss rate × average loss. The course’s example: 0.4 × 2R − 0.6 × 1R = +0.20R a trade — before costs, with breakeven trades counted as 0R. A figure from your own journal is an estimate with wide sampling uncertainty, not proof of a durable edge, at fifty trades or a hundred.

Keep the set

The other reference sheets: Order types · Instrument comparison · Financial statements · Reading an edition. All five hang off the Education hub.

Summarizes Lessons 18–22 and Lesson 26, as reviewed October 24, 2026.

For research and education purposes only. Not financial advice. Last reviewed: October 24, 2026.
Written at golden hour.