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Expectancy

By ILY · Reviewed by Quant · Published

◆ The short answer

Expectancy is the average amount a strategy makes or loses per trade, in R or currency: (win rate × average win) − (loss rate × average loss); a positive expectancy is the definition of an edge, regardless of win rate.

Also known as: expected value per trade, trade expectancy, edge per trade
Not to be confused with: R-Multiple
Expectancy diagram by Quantum Algo: Expectancy is the average amount a strategy makes or loses per trade, in R or currency: (win rate × average win) − (loss rate × average loss); a positive expectancy is the definition of an edge, regardless of win rate.
Expectancy diagram by Quantum Algo: Expectancy is the average amount a strategy makes or loses per trade, in R or currency: (win rate × average win) − (loss rate × average loss); a positive expectancy is the definition of an edge, regardless of win rate.

What it means

Expectancy turns a track record into one number. If a system wins 40% of trades at +2R and loses 60% at −1R, expectancy is 0.4 × 2 − 0.6 × 1 = +0.2R per trade — profitable despite losing more often than it wins. A system winning 70% at +0.5R and losing 30% at −2R has expectancy −0.25R — a loser despite the flattering win rate.

It is the reason win rate alone means nothing and why every serious record reports reward-to-risk beside it. Quantum Algo's posted trades — 160 trades, 120 wins, 40 losses at an average 2.3:1 — express the same idea in public.

Expectancy needs a sample to be meaningful and is subject to the same small-sample problems as win rate; use it with a sample count and, ideally, a confidence bound.

How to identify it on a chart

  1. Log every trade's outcome in R (profit divided by initial risk).
  2. Compute win rate, average winning R and average losing R.
  3. Expectancy = win rate × average win − loss rate × average loss.

Worked example

Over 50 trades: 30 wins averaging +1.8R, 20 losses averaging −1R. Expectancy = 0.6 × 1.8 − 0.4 × 1 = +0.68R per trade; at 1% risk per trade that is +0.68% of the account per trade on average.

See it on the chart, read it in depth

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Frequently asked questions

Can a strategy with a 35% win rate be profitable?

Yes, if winners are large enough: at 35% and 3:1 reward-to-risk, expectancy is 0.35 × 3 − 0.65 × 1 = +0.4R.

What is a good expectancy?

Anything reliably above zero after costs; +0.3R to +0.7R per trade is strong for discretionary systems.

How many trades before I trust it?

At least 50–100; check the win-rate component with a Wilson bound before believing the number.

Is expectancy the same as profit factor?

Related: profit factor is gross wins divided by gross losses; expectancy is the per-trade average. Both must be positive for an edge.

Related terms

R-Multiple →Wilson Score Interval →Shrinkage Estimator →Backtesting with TradingView Replay: Full Guide →

See Expectancy on your TradingView chart

Zeno reads Smart Money structure across timeframes and prints the entry, stop and targets — with a public record of every posted trade. The free indicators draw the concepts this page defines.

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