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Risk Reward Ratio: The Mathematical Secret to Profitable Trading

Published: January 2, 2026 | Reading time: 9 minutes | Author: CalculateTrade Team

Here's a surprising truth that most beginner traders don't realize:

You can be wrong 60% of the time and still make consistent profits.
The secret? Risk-reward ratio.

While amateur traders obsess over win rate and "high-probability" setups, professional traders focus on something more important: making more when they're right than they lose when they're wrong.

In this guide, you'll learn exactly how risk-reward ratios work, what ratio you should aim for, and how to calculate it for every trade.

What Is Risk-Reward Ratio?

Risk-Reward Ratio (R:R) is the relationship between how much you're risking on a trade versus how much you could potentially gain.

It's expressed as a ratio:

Risk:Reward Ratio = Potential Loss : Potential Gain Examples: • 1:1 = Risk $100 to make $100 • 1:2 = Risk $100 to make $200 • 1:3 = Risk $100 to make $300

Why Risk-Reward Ratio Matters More Than Win Rate

Let's compare two traders over 10 trades:

Trader A (High Win Rate) Trader B (High R:R)
Win Rate 70% 40%
Wins 7 trades 4 trades
Losses 3 trades 6 trades
Avg Win $50 $200
Avg Loss $100 $100
R:R Ratio 1:0.5 (bad) 1:2 (good)
Net Profit +$50 +$200

Trader A: (7 × $50) - (3 × $100) = $350 - $300 = $50 profit
Trader B: (4 × $200) - (6 × $100) = $800 - $600 = $200 profit

The Lesson: Trader B made 4x more profit despite being wrong MORE often. This is the power of risk-reward ratios.

How to Calculate Risk-Reward Ratio

Method 1: Using Dollar Amounts

R:R = Amount Risked : Amount Targeted Example: Entry: $1.0850 Stop Loss: $1.0820 (30 pips = $30 risk) Take Profit: $1.0910 (60 pips = $60 gain) R:R = $30 : $60 = 1:2

Method 2: Using Pips

R:R = Stop Loss Pips : Take Profit Pips Example: Stop Loss: 25 pips Take Profit: 75 pips R:R = 25:75 = 1:3

Visual Example

EUR/USD Trade Setup

Entry Price: 1.0850
Stop Loss: 1.0800 (50 pips below)
Take Profit: 1.0950 (100 pips above)

Risk: 50 pips
Reward: 100 pips
R:R Ratio: 1:2 ✓

With 0.2 lots ($2 per pip):
Risk: 50 × $2 = $100
Reward: 100 × $2 = $200
Still 1:2 ✓

The Win Rate Formula: What You Actually Need

Here's the mathematical truth about risk-reward and win rate:

Breakeven Win Rate = 1 / (1 + Reward/Risk Ratio) Example for 1:2 R:R: Breakeven = 1 / (1 + 2) = 1/3 = 33.3% You need to win MORE than 33.3% to be profitable.
Risk:Reward Breakeven Win Rate Profitable at 50% WR?
1:1 50% Break-even
1:1.5 40% Yes (+25%)
1:2 33% Yes (+50%)
1:3 25% Yes (+100%)
2:1 67% No (-33%)

What's the Best Risk-Reward Ratio?

There's no universal "best" ratio—it depends on your trading style. Here's what works for each approach:

Day Trading & Swing Trading: 1:2 to 1:3

Scalping: 1:1 to 1:1.5

Position Trading: 1:3 to 1:5+

Pro Recommendation: Aim for a minimum 1:2 risk-reward on all trades. This gives you a significant edge and room for error.

Real Trading Examples

Example 1: Perfect 1:2 Setup

Setup: EUR/USD breaks above resistance
Entry: 1.0850
Stop Loss: 1.0820 (below breakout level)
Take Profit: 1.0910 (next resistance level)

Calculation:
Risk: 30 pips
Reward: 60 pips
R:R: 1:2 ✓

Position Size (1% risk on $10k account):
Risk: $100
$100 / 30 pips = $3.33 per pip
Position: 0.33 lots

Outcome if win: +$200
Outcome if loss: -$100

Example 2: Excellent 1:3 Setup

Setup: GBP/USD pullback to support in uptrend
Entry: 1.2650
Stop Loss: 1.2620 (below support)
Take Profit: 1.2740 (previous high)

Calculation:
Risk: 30 pips
Reward: 90 pips
R:R: 1:3 ✓

Position Size (1% risk on $10k account):
Risk: $100
$100 / 30 pips = $3.33 per pip
Position: 0.33 lots

Outcome if win: +$300
Outcome if loss: -$100

With this 1:3 ratio, you only need a 25% win rate to profit!

Example 3: Poor Risk-Reward (AVOID)

Bad Setup: Chasing price without clear target
Entry: 1.0850
Stop Loss: 1.0800 (50 pips)
Take Profit: 1.0875 (25 pips)

Calculation:
Risk: 50 pips
Reward: 25 pips
R:R: 2:1 (TERRIBLE) ✗

Why this fails:
You need a 67% win rate just to break even.
Even at 60% win rate, you lose money.

NEVER take this trade.

How to Set Proper Stop Loss and Take Profit Levels

Step 1: Set Stop Loss First (Based on Market Structure)

Your stop loss should be based on technical levels, NOT arbitrary pip counts:

Step 2: Identify Realistic Take Profit

Your target should align with market structure:

Step 3: Calculate the Ratio

Only after steps 1 and 2 should you calculate R:R.

Golden Rule: If the natural market structure doesn't give you at least 1:1.5 R:R, skip the trade. Don't force targets or move stops to get a "good" ratio.

Advanced: Partial Profit Taking

Professional traders often use scaled exits to improve overall R:R:

Example: Scaling Out

Entry: 1.0850 (1.0 lot position)
Stop Loss: 1.0820 (30 pips risk)

Exit Strategy:
• Take 50% (0.5 lots) at 1.0880 (1:1 = 30 pips)
• Move stop to breakeven
• Let 50% run to 1.0940 (1:3 = 90 pips)

Outcome if both targets hit:
First half: 30 pips × 0.5 lots = 15 pips
Second half: 90 pips × 0.5 lots = 45 pips
Total: 60 pips on 1.0 lot position
Effective R:R: 1:2 (60 pips gain / 30 pips risk)

Common Risk-Reward Mistakes

Mistake #1: Moving Stop Loss to Avoid Taking a Loss

Scenario: Trade approaches your stop, so you move it further away "to give it room."

Why it's deadly: This turns a controlled 1:2 trade into an unlimited risk trade. You're no longer trading—you're gambling.

Mistake #2: Taking Profit Too Early

Scenario: You planned a 1:2 trade (60-pip target) but exit at 30 pips because "profit is profit."

Why it fails: You just turned your 1:2 edge into 1:1. Now you need 50% win rate instead of 33%. Over 100 trades, this costs you thousands.

Mistake #3: Forcing Trades with Poor R:R

Scenario: Great setup, but natural target is only 1:1. You take it anyway because "it's high probability."

Reality: Even at 65% win rate with 1:1 R:R, you'll barely profit after spreads and commissions.

Using Our Risk-Reward Calculator

Calculate your R:R ratio instantly with our free tool:

  1. Enter your entry price
  2. Enter your stop loss level
  3. Enter your take profit level
  4. See your R:R ratio and required win rate
Try the Free Risk-Reward Calculator →

The Expectancy Formula

Want to know if your strategy is actually profitable? Use the expectancy formula:

Expectancy = (Win Rate × Avg Win) - (Loss Rate × Avg Loss) Example: Win Rate: 45% Avg Win: $200 (1:2 R:R with $100 risk) Loss Rate: 55% Avg Loss: $100 Expectancy = (0.45 × $200) - (0.55 × $100) Expectancy = $90 - $55 Expectancy = +$35 per trade ✓ PROFITABLE

Positive expectancy = profitable strategy. Negative = losing strategy.

Quick Reference: R:R and Win Rate Combinations

Risk:Reward 20% WR 30% WR 40% WR 50% WR 60% WR
1:1 -60% -40% -20% 0% +20%
1:1.5 -50% -25% 0% +25% +50%
1:2 -40% -10% +20% +50% +80%
1:3 -20% +20% +60% +100% +140%

Numbers show return per dollar risked over 100 trades

Conclusion: Make Math Your Edge

Trading isn't about predicting the future with perfect accuracy. It's about having a mathematical edge and executing it consistently.

Key Takeaways:

✓ Minimum 1:2 risk-reward on all trades
✓ Set stops based on market structure, not desired R:R
✓ Only adjust targets based on technical levels
✓ Never move stop loss once in a trade
✓ Calculate expectancy to verify your edge
✓ Remember: You don't need high win rate if R:R is good

The traders who understand and respect risk-reward ratios are the ones who survive and thrive. The ones who ignore it are the 90% who fail.

Which group will you be in?

Calculate Your Risk-Reward Ratio Now →

Related Articles:
How to Calculate Position Size in Forex Trading
The 1% Risk Rule: Complete Trading Guide
Understanding Pips in Forex: Beginner's Guide

Disclaimer: All examples are for educational purposes. Trading involves risk. Past performance does not guarantee future results. Always use proper risk management.