Trading and Options

How to Calculate Risk-to-Reward and Break-Even Win Rate

Calculate reward-to-risk and break-even win rate from two hypothetical stock exits. See how round-trip charges affect long and short trades.

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Keywords

  • risk to reward ratio calculator
  • reward to risk calculator
  • break-even win rate calculator
  • stock risk reward with fees

Compare what you could lose and gain at two planned exits

Use the same entry, quantity and costs for both exits. The gross result describes the price moves. The net result shows how much remains at the target and how much the stop costs after charges.

Read the ratio in the right direction

Gross reward is the profit at the supplied target before charges. Gross risk is the positive loss at the supplied stop before charges. The net multiple divides signed target profit or loss by positive net stop loss.

Keep the orientation explicit. A 1-to-2 risk-to-reward ratio corresponds to a reward-to-risk multiple of 2×. Use charges for the full round trip once per scenario.

Compare trades with the same gross ratio

A small target may be more sensitive to fixed fees than a larger target with the same gross ratio. Compare net multiples and the break-even thresholds to see the effect of charges.

Calculate the net multiple and break-even threshold

Net reward-to-risk = signed net target outcome ÷ net stop loss. Multiply each directional price distance by share quantity. Add round-trip charges to stop loss and subtract the same charges from target profit. When the net target is positive, break-even win rate is net stop loss divided by the sum of net stop loss and net target profit.

For target frequency p, modeled average profit is p times net target profit minus (1 − p) times net stop loss. Set this expression to zero to solve the break-even rate.

Formula
Net reward-to-risk = signed net target outcome ÷ net stop loss
  • For a long, gross loss uses entry minus stop, and gross profit uses target minus entry.
  • For a short, gross loss uses stop minus entry, and gross profit uses entry minus target.
  • The loss denominator is positive and the target outcome retains its sign.

Work through long and short trades

For 10 long shares with entry 50, stop 48, target 54 and charges of 5, gross risk is 20 and gross reward is 40. Net risk is 25 and net reward is 35. The gross multiple is 2×, the net multiple is 1.4× and the break-even win rate is about 41.67%.

With a short entry at 50, a stop at 52 and a target at 46, the same ten shares and charges produce identical results. Opening proceeds of 500 are offset by either 520 at the stop or 460 at the target. Across twelve modeled trades, five target outcomes at 35 offset seven stop losses at 25.

  1. Enter 10 shares, entry 50, stop 48, target 54 and round-trip charges of 5.
  2. Compare the gross 2× and net 1.4× results.
  3. Raise charges to 40, then above 40, to compare the two break-even boundary states.

Enter a single complete trade

Choose long or short, supply positive quantity and entry, then enter the stop, target and round-trip charges. Enter zero when assuming no charges. For a long, the stop is below entry and the target is above it. Reverse these relationships for a short. Changing direction clears the two exit prices.

Recognize when fees remove the break-even rate

A positive net target has a break-even win rate below 100%. A zero net target requires every exit to reach the target. If the target loses money after charges, neither exit breaks even and no combination of the two can break even.

With charges of 40, the target contributes zero. With charges of 41, the target loses 1 and the stop loses 61. Even reaching the target every time leaves a loss.

Keep quantity and charge assumptions consistent

Each scenario closes the entire position once at the supplied stop or target. The same fixed charge applies once per alternative outcome. Enter all prices and charges in the same major currency. Currency selection changes formatting.

Account for execution uncertainty

Prices, charges and shares support up to 1 trillion and up to 12 decimal places. Entry and quantity must be positive. Money is exact before display, and ratios are rounded to 24 significant digits. If a feasible break-even rate rounds to 100%, the result identifies it as strictly below 100%.

A gap can move a stop-market fill away from the trigger. A stop-limit order can fail to fill. The model represents neither a partial fill nor a distribution of outcomes.

Separate a modeled threshold from observed performance

A historical win rate alone does not establish profitability. Actual wins and losses may vary, and this threshold assumes only the two stated outcomes.

Use consistent units across markets

Use USD, GBP, CAD, AUD or INR for the United States, United Kingdom, Canada, Australia or India. Convert GBX to pounds when the charge is in GBP. Supply the costs and prices for your scenario. Venue-specific charges and local taxes are outside this model.

Choose the calculation that fits the question

Risk Per Trade compares a stop and adverse exit against an account budget. Position Sizing solves for quantity subject to cash and risk. Risk-to-reward compares a stop with a target for a supplied quantity.

Educational scope

Educational scenario analysis. Actual fills can differ. It excludes execution probabilities, partial exits, margin, borrowing, tax and FX. The break-even threshold does not predict win probability or provide personalized advice.

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Put the method into practice.

Open Risk-to-Reward Ratio Calculator

Frequently asked questions

Why does a gross 2× multiple break even at one third without fees?
Two stop losses of one unit offset one target gain of two units. One of three trades reaching the target yields zero modeled net outcome.
Why do equal charges raise the break-even threshold?
Charges make the loss larger and the target profit smaller. Their sum as positive loss plus signed target profit stays equal to the gross span between outcomes.
Can a stop trigger without delivering the assumed fill?
Yes. A stop market order can execute at another price, and a stop-limit order can remain unfilled.
How should I enter a UK quote in pence?
Convert all pence prices to pounds first when charges are in GBP. For example, 5,000 GBX equals £50.
Why might a feasible result display strictly below 100%?
A tiny positive target profit makes the true threshold less than 100%, even when its displayed precision rounds to 100%.
Which calculator should I use to choose a quantity?
Use Position Sizing for a cash-funded long quantity. Use this calculator once you have a supplied quantity and want to compare two exits.

Sources and review

Sources reviewed . Consult current local rules before relying on time-sensitive information.

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