Expected Value (EV) Per Trade: Mathematical Formula & Positive Expectancy
Expected Value (EV) represents the average dollar amount won or lost per trade over a large sample: EV = (Win Probability x Average Win) - (Loss Probability x Average Loss). With a 45% win rate, an average win of $300 (1:2 RR), and an average loss of $100: EV = (0.45 x $300) - (0.55 x $100) = $135 - $55 = +$80.00 positive expectancy per trade.
In financial markets, win rate in isolation is mathematically meaningless. Many retail traders boast an 85% win rate yet blow accounts because their rare 15% losses are ten times larger than their wins. True edge is defined exclusively by positive Expected Value.
INTERACTIVE POSITION SIZING & RISK SIMULATOR
2026 BENCHMARK & COMPARISON DATA MATRIX
| Win Rate (%) | Risk-to-Reward Ratio | Average Win ($) | Average Loss ($) | Expected Value per Trade ($) |
|---|---|---|---|---|
| 35% Win Rate | 1:3 Risk-to-Reward | $300 Profit | $100 Loss | +$40.00 (Positive Edge) |
| 40% Win Rate | 1:2 Risk-to-Reward | $200 Profit | $100 Loss | +$20.00 (Positive Edge) |
| 50% Win Rate | 1:1.5 Risk-to-Reward | $150 Profit | $100 Loss | +$25.00 (Positive Edge) |
| 75% Win Rate | 1:0.33 (Inverted) | $33 Profit | $100 Loss | -$0.25 (NEGATIVE EXPECTANCY / BLEED) |
The Casino Advantage: Playing the Law of Large Numbers
Casinos operate on roulette wheels with a modest +2.7% house EV edge, yet generate billions in guaranteed profit. By executing 1,000 trades with a confirmed +$50 EV, your cumulative equity curve becomes smooth and mathematically unstoppable.
Calculate Your Trade Risk-to-Reward Ratio
Engineered for zero-math error execution. Tested across MT4/MT5 and Binance futures.
FREQUENTLY ASKED QUESTIONS & EXPERT CLARIFICATIONS
Can a system with a 30% win rate be profitable?
Yes! With a 1:4 Risk-to-Reward ratio, a 30% win rate produces an EV of +$50 per $100 risk ((0.30 x $400) - (0.70 x $100) = +$50).
Author: TradeCoreHub Quantitative Risk & Algorithmic Desk. Peer-reviewed against CME tick specifications, FTMO/FundedNext drawdown contracts, and Binance USD-M liquidation mechanics.
Audit Standard: Zero-Math-Error validation. Formulas are calibrated to ensure absolute capital survivability across statistical losing streaks.
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