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Reward-to-Risk (R:R) Expectancy & Minimum Breakeven Win Rate Calculator

Direct Technical Answer

A reward-to-risk expectancy calculator sets the breakeven win rate at 1 / (1 + R) before costs, so 1.50R requires 40.0%, 2.00R requires 33.3%, and 3.00R requires 25.0%. Per-trade expectancy is (W times AvgWinR) minus ((1 minus W) times AvgLossR), then subtract round-trip commission in R units. At 54% wins, 2.20R, and -1.00R losses, raw expectancy is +0.

Reward-to-risk expectancy and minimum breakeven win rate calculator math is the filter you run before you argue about indicators. If your average winner is +0.45R and your average loser is -1.00R, a 60% win rate still loses money. This widget converts R, win rate, and MT5 ECN costs into dollar expectancy per 100 trades so you can see the leak.

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0.50% Safe Risk / Trade $500

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Breakeven win rate at 1.5R, 2R, 3R, and after $7 commissions

W_be = 1 / (1 + R). At R = 1.50, W_be = 40.0%. At R = 2.00, 33.3%. At R = 2.20, 31.3%. At R = 3.00, 25.0%. After costs, replace R with R_net = (TargetDollars - Commission - SpreadCost) / RiskDollars. EURUSD 2.00 lot round trip at $7 commission plus 0.6 pip spread ($12) on a $500 risk ticket consumes $19, or 0.038R. R = 2.20 becomes 2.162, W_be rises from 31.3% to 31.6%. Tiny on swing gold, huge on 8-pip scalps: the same $19 on a $80 scalp risk is 0.24R and W_be at advertised 1.50R jumps from 40% to 1/(1+1.26) = 44.2%.

Disposition-effect book from the psychology hub: AvgWin = +0.45R, AvgLoss = -1.00R, W = 60%. Expectancy = 0.60 x 0.45 - 0.40 x 1.00 = 0.27 - 0.40 = -0.13R. Across 50 trades at $500: -$3,250. You do not have a win-rate problem. You have a premature-exit problem.

100-trade dollar projection on a $100,000 book

Failing profile 58% at +0.80R / -1.00R: E = 0.464 - 0.42 = +0.044R = +$22, wiped by two $19 commission days. Venasri Performance Analytics should print expectancy in R, not a vanity win rate. If 20-trade E is negative, freeze lot increases.

TP1 partials change average R, not just cash

A 40% partial at 1.50R and 60% runner at 3.00R yields blended R = 0.40 x 1.50 + 0.60 x 3.00 = 2.40R when the runner hits, or 0.40 x 1.50 + 0.60 x 0 if you scratch the rest at breakeven after TP1 = 0.60R. Your sample mix might be 30 full runners, 40 TP1-then-BE, 30 full losses: average win R is not 2.40. Compute it from tickets. 24/7 MT5 Bot Control logs each partial as a volume slice so expectancy is not fiction.

Minimum W_be using blended 1.70R (honest mix) is 37.0%, not the 29.4% you get from advertising 2.40R. Feed the honest R into this calculator.

Use expectancy to set the daily halt, not a profit target chase

If E is +0.55R at $400 risk, expected dollars per trade are $220. A 3-trade day is +$660 expected, variance huge. Do not raise size because you are "behind expectancy" at 11:00. Venasri Risk Management & Equity Guard caps the day at 4.25% regardless of how far sample E sits above zero. start free on Venasri so the cap is live.

Cross-check with the R-multiple expectancy and profit factor guide. Profit factor = GrossProfit / |GrossLoss|; PF 1.80 at this 0.728R profile is typical. PF below 1.20 after 80 trades is a strategy halt, not a risk-percent increase.

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Frequently Asked Questions: Reward-to-Risk (R:R) Expectancy & Minimum Breakeven Win Rate Calculator

What win rate breaks even at 2.0R before commissions?

1 / (1 + 2.0) = 33.3%. After $19 costs on a $500 risk ticket, net R is about 1.962 and breakeven win rate is 33.8%. Scalp books with costs of 0.20R+ move this number much more.

Why can a 60% win rate still lose money?

If average wins are +0.45R and average losses are -1.00R, expectancy is 0.60 x 0.45 - 0.40 x 1.00 = -0.13R. That is the disposition effect: cutting winners and holding losers to the full stop.

How do I include spread and commission in the calculator?

Subtract round-trip dollars from the reward, or add them to the risk, then recompute R_net. Expectancy in dollars minus average cost per trade is the number that hits the account.