functions Algebra schedule 4 min read update Updated Oct 2026

Breakeven Win Rate & Expectancy: The Core Profitability Equation

Determine the statistical minimum win rate required to sustain profitability across any reward-to-risk ratio, accounting for execution friction and spread costs.

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Primary Governing Formula
Win Rate (BE) = 1 / (1 + Reward:Risk)
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A trading system's profitability is a bivariate function of win rate and reward-to-risk ratio. The closed-form equation for the breakeven boundary is:

Breakeven Equation
Breakeven Win Rate (W_be) = 1 / ( 1 + R )
Where R is the realized Reward-to-Risk ratio (Average Win / Average Loss).
Target R:R Ratio Breakeven Win Rate Minimum Viable Win Rate (with 3% friction)
1 : 1 R:R 50.00% 53.00%
1.5 : 1 R:R 40.00% 43.00%
2 : 1 R:R 33.33% 36.33%
3 : 1 R:R 25.00% 28.00%
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