Risk to Reward & Win Rate Calculator
Determine your break-even point and trading expectancy
Understanding Risk to Reward and Win Rate
In professional trading, your success isn't just about how many trades you win; it's about the relationship between your Win Rate and your Risk to Reward Ratio (R:R). This calculator helps you visualize the mathematical edge required to remain profitable over the long term.
What is the Risk to Reward Ratio?
The Risk to Reward ratio measures the potential profit of a trade relative to its potential loss. For example, if you risk 100 units to gain 200 units, your R:R is 1:2. Even with a lower win rate, a high reward-to-risk ratio can keep a trading account in the green.
The Break-Even Win Rate Formula
To find the minimum win rate you need to avoid losing money, use the following formula:
Required Win Rate = 1 / (1 + Reward)
If your reward is 3 times your risk (1:3 ratio), your break-even win rate is 1 / (1 + 3) = 0.25, or 25%. This means you only need to be right 1 out of 4 times to break even.
What is Trading Expectancy?
Expectancy is the average amount you can expect to win or lose per trade. A positive expectancy indicates a profitable strategy, while a negative expectancy suggests the strategy will deplete your capital over time.
Formula: (Win Rate % × Average Win) – (Loss Rate % × Average Loss)
Practical Examples
- The Scalper: High win rate (70%) but low R:R (1:0.5). Expectancy remains positive because the high frequency of wins offsets the small gains.
- The Trend Follower: Low win rate (30%) but high R:R (1:4). Despite losing most trades, the massive winners ensure long-term profitability.
How to Use This Calculator
- Risk/Reward: Enter the amount you risk (usually 1) and the amount you aim to gain.
- Actual Win Rate: Enter your historical or backtested win percentage.
- Analyze: Review the "Required Win Rate" to see if your strategy is mathematically sound.