How to Calculate Risk to Reward Ratio: Formulas & Execution Rules

# How to Calculate Risk to Reward Ratio: Formulas & Execution Rules

The Risk-to-Reward Ratio (R:R) is the cornerstone of all professional risk management. It compares the amount of money you risk losing if a trade hits your stop loss against the potential profit you stand to gain if price reaches your target.

Understanding how to calculate and execute with positive risk-to-reward is what allows professional traders to remain consistently profitable even with a modest win rate of 40% or 45%.

In this guide, we break down the core mathematical formulas, provide clear practical examples across different asset classes, and explain how R:R interacts with your win rate.

The Risk-to-Reward Formula #

$$\text{Risk to Reward Ratio} = \frac{\text{Entry Price} - \text{Stop Loss Price}}{\text{Take Profit Target} - \text{Entry Price}} \quad \text{(For Long Trades)}$$

$$\text{Reward to Risk Multiple (R)} = \frac{\text{Potential Profit (\$)}}{\text{Potential Loss at Stop (\$)}} = \frac{\text{Target Distance}}{\text{Stop Distance}}$$

Example Calculation (Long Stock Trade) #

• Entry Price: $150.00
• Stop Loss: $145.00 (Risk = $5.00 per share)
• Take Profit Target: $165.00 (Reward = $15.00 per share)

$$\text{Reward to Risk} = \frac{\$15.00}{\$5.00} = 3.0 \quad (1:3 \text{ Risk-to-Reward})$$

In this scenario, for every $1.00 you risk losing, you stand to make $3.00 in profit ($+3.0\text{R}$).

Risk-to-Reward vs. Required Win Rate (Breakeven Formula) #

Traders often ask: "What is a good win rate in trading?"

The mathematical truth is that win rate is meaningless without context. A trader with an 80% win rate can go bankrupt if their average loss is 5 times larger than their average win, while a trader with a 35% win rate can generate substantial profits with a 1:3 ratio.

The required breakeven win rate for any given reward-to-risk ratio is calculated as:

$$\text{Breakeven Win Rate} = \frac{1}{1 + \text{Reward Multiplier}} \times 100$$

3 Critical Mistakes When Calculating Risk to Reward #

1. Fabricating Unrealistic Targets to Force a "Good" Ratio #

Many beginner traders identify a setup where the stop loss is 20 pips away, and arbitrarily set their take profit 60 pips away just to claim a 1:3 R:R on paper—completely ignoring that a major multi-day resistance level sits at 30 pips.

Rule: Let market structure determine your target, not your wishful thinking.

2. Moving Stop Losses When the Trade Goes Negative #

Calculating a 1:2 ratio before entering is completely useless if you widen your stop loss by 50% when price comes close to hitting it. Moving your stop turns a planned $-1.0\text{R}$ loss into a catastrophic $-2.5\text{R}$ drawdown.

3. Cutting Winners Early Due to Fear #

Closing a $+3.0\text{R}$ trade at $+0.5\text{R}$ because you were anxious about giving back gains destroys your mathematical expectancy over a 50-trade sample size.