Glossary TermApril 20, 2024

Expectancy

Average expected profit per trade — if this number isn't positive, nothing else about your strategy matters.

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Definition

Average expected profit per trade — if this number isn't positive, nothing else about your strategy matters.

Expectancy

In Simple Terms: Expectancy tells you how much money you expect to make (or lose) on the average trade — it's the single number that determines long-term profitability.

Expectancy is the mathematical expectation of profit per trade, calculated as (Win Rate × Average Win) - (Loss Rate × Average Loss). A positive expectancy means the strategy is profitable over the long run; a negative expectancy means it's a losing game regardless of recent results. Everything in trading — entry signals, stop placement, take-profit levels, position sizing — serves the singular purpose of maintaining positive expectancy.

The critical insight most traders miss: expectancy can be positive even with a terrible win rate, and negative even with an excellent win rate. A trend-following system with 35% win rate and average win of 3R vs average loss of 1R has an expectancy of +0.40R per trade — outstanding. A mean-reversion system with 75% win rate but average win of 0.5R and average loss of 2R has an expectancy of -0.125R per trade — it's bleeding. Kingfisher traders can improve expectancy by using LiqMap to identify asymmetric setups: enter where liquidation clusters create price magnets, set targets at the far side of the cluster, and let the cascade do the work.

How It Works

Formula: Expectancy = (Win Rate × Average Win) - (Loss Rate × Average Loss)

Or in R-multiples: Expectancy = (Win Rate × Avg R-Win) - ((1 - Win Rate) × Avg R-Loss)

Example calculations:

  • 50% WR, 2:1 RR: (0.5 × 2) - (0.5 × 1) = +0.50R/trade — strong
  • 40% WR, 3:1 RR: (0.4 × 3) - (0.6 × 1) = +0.60R/trade — excellent
  • 70% WR, 0.5:1 RR: (0.7 × 0.5) - (0.3 × 1) = +0.05R/trade — barely profitable
  • 80% WR, 0.3:1 RR: (0.8 × 0.3) - (0.2 × 1) = +0.04R/trade — one bad streak from negative

To convert to dollar terms: multiply R-multiple by your dollar risk per trade. An expectancy of +0.50R at $500 risk per trade = $250 expected profit per trade.

Why It Matters for Traders

  1. Expectancy is the only forward-looking metric that matters. Past P&L tells you what happened. Expectancy tells you what will happen if your edge persists. Track rolling 50-trade expectancy to detect edge degradation in real time — Kingfisher's TOF data can help identify when order flow dynamics shift and your edge may be eroding.
  2. Improving expectancy by cutting losers is easier than finding better entries. Reducing average loss from 1R to 0.8R has a larger impact on expectancy than improving win rate by 5%. Tight stop management in trending environments is the highest-leverage expectancy improvement available.
  3. Expectancy determines max drawdown trajectory. A strategy with +0.30R expectancy can sustain losing streaks of 15+ trades without catastrophic damage. A strategy with +0.05R expectancy can be ruined by a 10-trade losing streak. Position sizing should be calibrated to your exact expectancy, not a generic 1-2% rule.

Common Mistakes

  • Calculating expectancy from too small a sample. 30 trades produce an expectancy estimate with enormous error bars. You need 50+ trades for a rough estimate, 200+ for confidence, and across multiple market regimes for any real conviction.
  • Ignoring the variance of wins and losses. A strategy where average win is 2R but individual wins range from 0.2R to 8R has a different risk profile than one where all wins cluster around 2R. Fat-tailed win distributions inflate ruin risk.
  • Confusing recent expectancy with edge. A 10-trade win streak can produce temporarily positive expectancy even for a negative-edge strategy. Regression to mean is inevitable — but it may take 100+ trades.

Deep Dive

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