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Minimalist Mentality · Platform

Risk & Expectancy

Advanced 2 min read

This lesson is the numerical heart of trading. Master it and you can evaluate any strategy honestly; skip it and no chart pattern will save you. The companion reference is Risk Management.

Everything in R

Define R as the amount you risk per trade — entry to stop, times size. Measure every outcome in R: a stop-out is −1R, a double is +2R. This makes results comparable across account sizes and assets.

R = position size × (entry − stop)

Position sizing

Risk a fixed, small fraction of your account per trade (commonly 1%). Set the stop first, then size to fit the risk.

position size = (account × risk %) ÷ (entry − stop)

Expectancy

Expectancy is the average R you earn per trade. It is the number that decides profitability.

expectancy = (win % × avg win R) − (loss % × avg loss R)

Worked example:

MetricValue
Win rate40%
Average win+2.5R
Average loss−1R
Expectancy(0.40 × 2.5) − (0.60 × 1) = +0.40R

You lose 60% of the time and still make 0.40R per trade on average — because winners are larger than losers. Win rate alone tells you nothing; payoff matters just as much.

Why the 1% rule survives streaks

Even a positive-expectancy system has losing streaks. Small per-trade risk keeps any streak survivable, so you are still around when the edge plays out.

Edge needs repetition

Expectancy is an average over many trades. Any single trade is mostly luck; the edge only shows up across a large sample. Protect your capital so you get to take that many trades.

Sample size and ruin

Risk of ruin

Risk too much per trade and a normal losing streak can wipe you out before your edge ever appears — that is “risk of ruin.” The cure is small position size, not a better win rate.

Next: the discipline to execute all of this — Mastering Trading Psychology.

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