Expectancy

    التوقع الرياضي (Expectancy)

    A statistical metric that determines the expected average profit or loss per trade, based on win rate and the risk-to-reward ratio.

    Expectancy is one of the most critical metrics used to determine whether a trading strategy is profitable over the long term. It combines win rate, average win, and average loss into a single formula, yielding a value that reflects the expected return for every dollar risked.

    The expectancy formula is calculated as follows: Expectancy = (Win Rate × Average Win) - (Loss Rate × Average Loss)

    A positive result indicates that the strategy is statistically profitable over the long run, despite the possibility of experiencing consecutive losing streaks during certain periods. Conversely, a negative result means the strategy is a losing one, regardless of how high its win rate may occasionally appear.

    The importance of this metric lies in providing an objective evaluation free from personal impressions or short-term results, helping traders make decisions grounded in reliable statistical data across a sufficient sample of trades.

    Common mistakes include judging a strategy based on a small number of trades, or failing to calculate expectancy periodically over batches of trades to verify whether the strategy remains effective.

    Practical Example

    If a strategy has a 40% win rate with an average win of $300, and a 60% loss rate with an average loss of $100, then Expectancy = (0.4 × 300) - (0.6 × 100) = 120 - 60 = $60 per trade.

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