Risk-Reward Ratio — The Math Behind Profitable Trading

A 90% win rate with bad RR will lose money. A 40% win rate with great RR can make you rich.

Picture a trader who wins 9 of every 10 trades. They post green screenshots, size up confidently, then one bad week a single oversized loser erases 30 small wins and the month closes down 8%. This is the silent killer of retail accounts — a high win rate masking a terrible risk-reward ratio. The fix isn't more wins. It's better math.

What Is the Risk-Reward Ratio?

The risk-reward ratio (RR) measures how much capital you risk on a trade relative to how much you stand to gain. It is the single number that turns "I think this will go up" into "this trade is mathematically worth taking."

The formula:

RR = (Target − Entry) ÷ (Entry − Stop)

A trade with RR = 3 (often written "1:3") means you risk 1 unit to make 3. Let's run three concrete examples across asset classes.

Example 1 — Stocks

Entry: $50
Stop: $48
Target: $56
Risk = $50 − $48 = $2
Reward = $56 − $50 = $6
RR = 6 ÷ 2 = 3 → 1:3

Example 2 — Forex (EUR/USD)

Entry: 1.1000
Stop: 1.0950
Target: 1.1100
Risk = 1.1000 − 1.0950 = 0.0050 (50 pips)
Reward = 1.1100 − 1.1000 = 0.0100 (100 pips)
RR = 100 ÷ 50 = 2 → 1:2

Example 3 — Crypto (BTC/USD)

Entry: $65,000
Stop: $63,000
Target: $70,000
Risk = $65,000 − $63,000 = $2,000
Reward = $70,000 − $65,000 = $5,000
RR = 5,000 ÷ 2,000 = 2.5 → 1:2.5

Short trades flip the formula. When you sell short, risk sits above entry and reward below, so RR = (Entry − Target) ÷ (Stop − Entry). Entry $50, stop $52, target $44 gives risk $2, reward $6, RR = 3 — the same logic, mirrored in direction.

One caveat: the figures above are gross RR. Real costs — spread, commission, slippage, and overnight financing — quietly shave your reward and inflate your effective risk. A 1:2 trade on paper is often 1:1.7 in practice. Always run the numbers net of costs, and if costs drag RR below 1.5, the trade is no longer worth taking.

Notice the formula behaves identically whether you trade cents or thousands of dollars — only the unit changes. A higher RR means you can be wrong more often and still come out ahead.

Putting RR Into Practice

Every RR implies a breakeven win rate — the minimum hit rate you need to avoid bleeding money:

Breakeven win rate = 1 ÷ (1 + RR) × 100

Flip the relationship and you get the inverse question every trader should answer before sizing a strategy: given my realistic win rate, what RR do I need to stay profitable?

Win rate	Minimum RR to break even
30%	1 : 2.33
40%	1 : 1.50
50%	1 : 1.00
60%	1 : 0.67

Read the table carefully. A 40% win-rate strategy is profitable only if every trade carries at least 1:1.5 RR. Many beginners run a 40% strategy with a 1:0.8 RR — they win often but small, and lose rarely but large. The math guarantees ruin. Conversely, a 30% win-rate trend-follower with a 1:3 RR is mathematically profitable even though they lose 7 trades out of 10.

Three-step execution flow

Before entry — compute RR. Plug entry, stop, and target into the formula or our calculator. If you cannot articulate a specific stop and target, you don't have a trade — you have a guess.
Reject anything below RR 1.5. Make 1.5 your hard floor and 2.0 your soft preference. Trades below 1.5 demand an unrealistically high win rate to survive fees, slippage, and human error.
Log actual win rate vs breakeven. After 30 trades, compare your real hit rate to the breakeven rate implied by your average RR. If you sit below breakeven, the problem is execution or strategy — not luck.

Pre-trade checklist

Entry price defined
Stop-loss price defined (not "I'll see how it goes")
Target price defined with a stated reason
RR ≥ 1.5
Position size matches your 1% risk budget

Three Common Mistakes That Destroy RR

Moving the stop to avoid being stopped out. When price drifts toward a $48 stop, traders push it down to $46 to "give it room." Risk jumps from $2 to $4 — RR collapses from 1:3 to 1:1.5 mid-trade. Fix: place the stop as a hard order and treat a hit as proof the thesis was wrong.
Taking profit early. A trade sitting at +$2 gets closed "to lock it in," turning a planned 1:3 into 1:1. Over 100 trades this guarantees underperformance. Fix: use limit orders at your target, or scale out in pre-defined thirds — never a panic close.
Entering on feel without computing RR. "It looks strong" is not a thesis. Fix: make the checklist above non-negotiable. No RR number, no trade — full stop.

Advanced Tips: Kelly, Position Sizing, and Beyond

RR is one half of expectancy; the Kelly Criterion formalizes the other half by telling you what fraction of capital to bet given your win rate and RR. As RR rises, Kelly-optimal sizing rises — but so does drawdown variance. Pair every RR upgrade with a position-sizing rule (risking 1% of account per trade is a sane default), and never let leverage outrun your stop distance. For deeper reading, see our position sizing guide, the Kelly Criterion deep dive, and stop loss explained. To skip the mental math, run your numbers through the risk-reward calculator.

Summary

The risk-reward ratio is the one number every trader should compute before clicking buy. It tells you the win rate your strategy must deliver, exposes trades that look good but mathematically bleed, and protects you from your own emotions. Win rate is vanity; RR is sanity. Master the ratio first — the wins will follow. Run your next setup through the calculator.