Quantitative Performance Metrics Verified 2026 Specification

What is Trading Expectancy & Expected Value (EV)?

LogToLast Quantitative Team Verified October 2026 Quantitative & Prop Risk Encyclopedia
Direct Quantitative Definition (BLUF)

Trading expectancy (Expected Value or EV) is the statistical average dollar or R-multiple amount a trader can expect to make or lose per trade over a large sample size, combining win probability, average win size, loss probability, and average loss size into a single edge metric.

Formula

Mathematical Calculation

Expected Value (EV) = (Win Rate % × Average Win $) - (Loss Rate % × Average Loss $)

Where P_win is your historical win rate (0 to 1), W-bar is your average winning trade (in dollars or R), and L-bar is the absolute value of your average losing trade.

Scenario

Real-World Numerical Simulation

Simulation Model

Calculating Expected Value (EV) Per Trade on a $100K Challenge

Baseline: $100,000
Max Risk: $3,000
1

Win Rate (P_win): 48% (0.48); Loss Rate: 52% (0.52).

2

Average Win: $450; Average Loss: $210.

3

Formula: (0.48 × $450) - (0.52 × $210) = $216.00 - $109.20 = +$106.80 Expected Value per trade.

4

Challenge Projection: To pass a $6,000 profit target, the trader statistically needs ~57 trades ($6,000 ÷ $106.80).

Automated Platform Solution

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Benchmark

Institutional Comparison Matrix

Trading Expectancy & Expected Value (EV) — Institutional Trading & Prop Firm Comparison Matrix (2026)
Expectancy (in R) Edge Classification Expected Outcome Over 100 Trades
< 0.00R Negative Expectancy Mathematically guaranteed account breach as sample size grows
+0.05R to +0.15R Thin Retail Edge Vulnerable to commission drag and news slippage
+0.20R to +0.45R Robust Prop Firm Edge Generates +20R to +45R per 100 trades; high payout consistency
> +0.50R Elite Quantitative Edge Earns 'Holy Grail' System Quality badge in Backtest Lab
Enforcement

Monitored Prop Firms Applying This Rule

Compare all 22+ firms & Fairness Scores →
Q&A

Frequently Asked Questions

Purple Expected Value (EV) Card & Mistake Cost Audit

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