Risk-reward ratio and expectancy in crypto trading
By Stjepan IvanovićUpdated
A risk-reward ratio compares a planned loss with a potential gain; it does not tell you the chance of either outcome. To evaluate a method, combine its average wins and losses with a tested win rate, then account for costs and execution. This guide defines R, works through an illustrative position-size example and explains the assumptions a crypto chart cannot settle.
A 1:2 risk-to-reward setup means the planned reward is twice the planned loss if both exits fill at their assumed prices. It does not mean the trade has a 2-in-3 chance of winning, or that the target is likely to be reached. To estimate expectancy, you also need outcomes from a defined method and the costs of executing it.
How to calculate a risk-to-reward ratio
For a planned long trade, price risk per unit is entry minus stop; potential price reward per unit is target minus entry. For a short trade, reverse the directions. Divide potential reward by planned risk to get a reward multiple. Some traders write the same relationship as risk:reward, such as 1:2; others call the reward 2R. State the convention because the ratio alone can be ambiguous.
Consider a hypothetical long entry at $100, stop at $96 and target at $108. Before costs, the stop is $4 away and the target is $8 away. That is $4 planned price risk for $8 potential price reward, or risk:reward 1:2 (a +2R target against a −1R stop). It is a comparison of distances between chosen prices. It gives no probability that price will reach either one.
A stop should correspond to the condition that would invalidate the trade idea. Moving the stop closer merely to improve the displayed ratio may contradict the setup’s invalidation rule. Moving it farther away increases the planned loss for the same position size and reduces reward relative to risk. Moving the target farther away increases the stated potential reward but does not establish that the target is realistic.
A risk-reward ratio is not expectancy
Expectancy is the average result per trade implied by the size of wins and losses and how often each occurs. If p is the win fraction, W is average net win and L is the average net loss written as a positive amount, then:
Expected result per trade = p × W − (1 − p) × L
If all results are divided by the same initial risk amount, the result is expectancy in R. For a simple two-outcome model with no costs, a payoff of +2R on wins and −1R on losses breaks even when p = 1 / (2 + 1) = 33.33%. At a 1:3 risk:reward ratio, that arithmetic threshold is 25%. Those are break-even calculations under the stated payoffs, not estimates of a strategy's real win rate.
Real trades can have partial exits, variable winners and losses, funding, fees and gaps. In that case, use the observed average net win and loss from a consistently defined sample rather than substituting the advertised target multiple for average results. Include losing trades, skipped signals under the written rules, and the order in which a stop and target were reached.
A planned 1:2 ratio is not a realized 2R result
A displayed ratio uses planned prices; realized R comes from the fills and costs that actually occurred. Suppose a hypothetical long entry is $100, the stop is $96, the target is $108 and the position is 10 units. The plan shows $40 of gross risk and $80 of gross reward, or +2R if all 10 units reach the target. If 5 units instead exit at $104 and the remaining 5 hit the $96 stop, the first part earns $20 and the second loses $20: realized gross P&L is $0, or 0R against the original $40 risk, before fees and funding. Record each partial fill and calculate the final result using one stated R denominator and actual costs; do not substitute the target multiple for the trade result.
Explore position size and expectancy assumptions
Use the calculator to see how entry, stop, target, account size, risk budget, fees, leverage and a user-supplied win-rate assumption affect the arithmetic. The result depends on those inputs.
In this calculator, 1R is the modeled net loss at the stop, including the entered fees and flat funding assumption. The separate figure below uses a different definition: R is the planned price loss before its assumed 0.10R cost. Compare results expressed in R only when they use the same definition.
A calculator cannot validate the win rate, predict a fill, model every contract type or decide whether a trade is suitable. Treat expectancy as a scenario until a defined method has been evaluated with relevant trade data and costs.
Risk, reward and expectancy calculator
Compare two possible exits: reaching the target or the stop. This example assumes a linear payoff and uses one quote currency throughout. Enter the prices you expect the orders to fill at; actual fills may differ. Here, 1R means the estimated loss at the stop, including the costs you enter. Add your own assumed win rate if you want to explore expectancy.
- Gross reward per unit of risk
- 1:3
- Net reward per unit of risk
- 1:2.85
- Break-even win rate after assumed costs
- 26%
- Entered risk budget
- 100
- Calculated position size (units)
- 19.24927815
- Position value at entry
- 1,924.93
- Illustrative initial margin
- 1,924.93
- Profit after costs at the assumed target fill
- 284.6
- Effective target fill
- 115
| Assumed win rate | Expected net R per trade |
|---|---|
| 20% | -0.231R |
| 30% | 0.154R |
| 40% | 0.538R |
| 50% | 0.923R |
| 60% | 1.308R |
Fees are calculated from the assumed position values at entry and exit. Funding is an illustrative constant rate with three 8-hour periods per day, using the position value at entry and the same holding time for winners and losers; actual schedules, rates and notionals vary. Quantity increments, minimum orders, slippage beyond the entered fills, borrow costs and liquidation are not modeled. Margin is not an exchange liquidation calculation. Historical stock-pattern target-hit rates cannot supply the win probability for arbitrary crypto entries and stops.
Set position size from the stop and a chosen loss budget
First define the price level or event that invalidates the idea. Then choose a loss budget for that position and calculate quantity from the distance to the stop. A wider stop means smaller quantity for the same budget; a tighter stop means larger quantity. The stop location comes from the setup's rule, while size adjusts to the budget.
A simplified spot or linear-contract estimate is:
quantity ≈ cash loss budget ÷ modeled loss per unit at the stop
Modeled loss per unit should include the assumed entry and exit fills plus applicable trading costs. Check contract multiplier, quantity increment, minimum order size, quote currency, margin and product-specific P&L rules before using a result. Inverse contracts, options and products with settlement in another asset need their own payoff calculation.
For example, an account of $5,000 and an explicitly chosen 1% loss budget give $50. The 1% is an example input, not a universal recommendation. Three separate positions each planned to risk $50 would represent $150, or 3% of that account, if all three losses reached their modeled exits. Correlated exposure can make simultaneous positions matter even when each trade is sized separately.
Use ATR as a volatility reference, not a stop rule
Average True Range summarizes recent true ranges on a selected market and timeframe. True Range includes the current high-low span and gaps from the previous close. ATR has no directional sign: it describes recent movement, not where price should go next or how much it can move in the future. Its period and smoothing method affect the value.
In the $100 example, suppose the chart's ATR is $2 and a hypothetical strategy rule places a long stop two ATR below entry: $100 − (2 × $2) = $96. This simply illustrates one chosen rule. It does not make two ATR a standard or optimal stop. A structure-based invalidation may sit elsewhere, and changing the stop changes quantity and the potential ratio. The crypto stop-loss guide covers those placement and order-type choices.
Include fees and execution assumptions
The displayed stop and target are not guaranteed fill prices. A stop-market may execute beyond its trigger; a stop-limit can remain unfilled. A venue may trigger from last, index or mark price, which can differ from the candle series you are viewing. For example, Bybit documents a market-order slippage protection range and conditional triggers with configurable price references for supported derivatives; Kraken documents stop and stop-limit order types with trigger choices. Check the current rules for the actual venue, product and order.
Here is a hypothetical long sizing calculation using the $100 entry and $96 stop. It assumes an ATR of $2 on the selected chart interval, a 2×ATR stop rule, a $5,000 account, a 1% ($50) loss budget, 0.1% fees on each side, 0.1% adverse slippage on each fill and a 0.001 quantity step. These rates and fills are example inputs only, not typical costs or a promise of execution.
| Step | Assumption or calculation | Result |
|---|---|---|
| Intended entry / stop | $100 / $96 | $4 planned price distance |
| Modeled entry fill | $100 plus 0.1% adverse slippage | $100.10 |
| Modeled stop exit | $96 trigger less 0.1% adverse slippage | $95.904 |
| Price loss per unit | $100.10 − $95.904 | $4.196 |
| Fees per unit | 0.1% × ($100.10 + $95.904) | $0.196004 |
| Modeled loss per unit | $4.196 + $0.196004 | $4.392004 |
| Quantity before step rounding | $50 ÷ $4.392004 | 11.384324… |
| Quantity rounded down | Round down to 0.001 | 11.384 units |
| Modeled loss at rounded size | 11.384 × $4.392004 | $49.998574 |
At that size, the modeled position value at entry (notional) is $1,139.5384 and estimated round-trip fees are $2.231310. Actual orders may have different fees, fills, funding and contract rules. The example excludes funding, gaps, partial execution, liquidation and minimum-notional constraints; it is not a maximum-loss guarantee. The stop-loss guide discusses these limitations in more detail.
See how costs change a hypothetical expectancy
This teaching model assumes every win is +2R gross, every loss is −1R gross, 40% of trades win, and every trade costs 0.10R. Here, R means the gross planned price-loss unit before that assumed cost. The figures are chosen to show the calculation; they are not observations from ChartScout, a crypto market sample, or a chart-pattern study.
Before costs, expectancy is 0.40 × 2R − 0.60 × 1R = +0.20R. Subtracting 0.10R from every result makes the net outcomes +1.90R and −1.10R. Net expectancy is 0.40 × 1.90R − 0.60 × 1.10R = +0.10R. Gross break-even is 33.33%; after this flat cost, it is 1.10 ÷ (1.90 + 1.10) = 36.67%.
A fixed cost in R is a simplifying assumption. Real costs vary with notional, venue, maker/taker status, spread, fill, funding and holding time. For a real system, calculate net trade results using its actual rule set and a clearly stated R denominator.
Check trigger prices, margin and contract details
A chart can display last-trade candles while a stop uses a mark or index trigger. A price difference does not by itself show that an order malfunctioned. Read the venue's trigger definition and set the chart series to match where possible. Conditional-order behavior also differs: an order can become active only after its trigger, and the venue's margin checks may still cancel it.
Leverage changes the collateral and liquidation context; it does not turn a planned stop into a guaranteed exit or make a larger price move safer. On a linear product, changing leverage does not change the price P&L for the same contract quantity, though the initial margin requirement changes. Inverse contracts and other products have different P&L mechanics. A liquidation engine can close a position before a stop fills depending on margin, trigger reference, fees and market conditions. The examples here do not calculate exchange liquidation prices.
Evaluate a defined method instead of borrowing pattern odds
To estimate expectancy, define the market, venue, timeframe, setup qualification, entry, invalidation, target or management rule, position size and observation horizon before reviewing outcomes. Record all qualifying trades, including failures and skipped entries, with the prices and fees that the method could actually use. Account for funding where relevant, partial fills, gaps and whether stop or target was reached first. If candle data cannot establish the sequence, mark that trade as ambiguous or use data granular enough to resolve it.
Develop the rule on one sample, then evaluate it on later data or a separate sample that was not used to design it, and inspect performance across different conditions. Report the number of observations and uncertainty rather than turning a small sample into a precise probability. A measured-move target is a possible price objective under a rule; it is not a hit rate. Historical stock-pattern statistics do not supply a win probability for a crypto instrument or a different entry and exit method.
Compare net average win, net average loss, win fraction and expectancy together. A higher target multiple can coexist with fewer wins; a tighter stop can increase stop-outs; a lower-cost venue assumption can be wrong for the order type actually used. No single risk/reward ratio is “good” without the rest of the method and its measured outcomes.
Frequently asked questions
What is a 1:2 risk-to-reward ratio?
It describes a planned potential reward twice as large as the planned loss if both exits fill at the assumed prices. For a $4 planned loss per unit and $8 potential gain, risk:reward is 1:2, also called a 2R target. It does not say how likely the target is.
What win rate do I need for a 1:2 risk-reward ratio?
In a simple model with exactly +2R wins, −1R losses and no costs, break-even is 1 ÷ (2 + 1) = 33.33%. Fees, slippage, variable exits and funding change the threshold. That arithmetic is not a prediction of the strategy's win rate.
Is a 1:3 risk-reward ratio better than 1:2?
Not by itself. A farther target may reduce the share of trades that reach it, and the ratio does not include the actual distribution of outcomes or costs. Compare net expectancy from a consistently defined set of trades.
How do I calculate crypto position size from a stop?
Choose an invalidation level and a loss budget, estimate the loss per unit at the stop including modeled costs, divide the budget by that amount, then round down to the product's quantity increment and check its contract rules. A planned amount is not a guaranteed maximum loss.
Does ATR tell me where to put my stop?
ATR summarizes recent true-range volatility for a selected timeframe and smoothing method. A strategy can use it in a stated rule, but ATR does not identify trade invalidation, predict direction or make a particular multiple universally suitable.
Can a stop loss guarantee that I lose only my planned risk?
No. A stop-market may execute away from its trigger, a stop-limit may not fill, and gaps, partial execution, fees, funding, exchange rules or liquidation can change the result. Model the actual venue and product, and treat the estimate as conditional.
Can stock chart-pattern statistics estimate crypto expectancy?
No. A stock study does not supply the win probability for a crypto market or for a different entry, stop, target and cost rule. Estimate expectancy from data that matches the method being evaluated.
Sources & references
Data and example note: Every probability, payoff, fee and slippage figure used in the worked examples is explicitly hypothetical. The arithmetic illustrates how assumptions affect a result; it is not a live signal, backtest, strategy record, or forecast. Exchange order behavior is venue-specific and can change; follow the current documentation for the market you use.
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Tharp, Van K. Trade Your Way to Financial Freedom, 2nd ed. McGraw-Hill, copyright 2007. ISBN-identified Google Books preview, printed pp. 89, 194–197 and 203. Referenced for R-multiple and expectancy terminology; its examples are not presented as crypto results.
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Grimes, Adam. The Art and Science of Technical Analysis: Market Structure, Price Action, and Trading Strategies. Wiley, 2012. Publisher record, chapter 9, printed pp. 264–268, especially p. 267. The position-size and simultaneous-risk discussion supports the relationship between stop distance, size and aggregate exposure. The local PDF pagination differs from the printed book.
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Elder, Alexander. The New Trading for a Living: Psychology, Discipline, Trading Tools and Systems, Risk Control, Trade Management. Wiley, 2014. Publisher record, chapter 48, p. 201 and chapter 54, pp. 221–222. Referenced for including costs when evaluating results and for the stop-distance/size trade-off.
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TradingView. “Average True Range (ATR)”, accessed 30 September 2026. ATR and True Range definitions, timeframe and configurable smoothing.
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Bybit. V5 API “Place Order”, accessed 30 September 2026. Venue-specific market-order slippage protection, conditional triggers and margin behavior.
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Kraken. API “Add Order”, accessed 30 September 2026. Venue-specific stop, stop-limit and trigger-reference fields.
All numeric examples in this article are original hypothetical calculations. Neither the books nor the exchange documentation establishes a crypto win rate or validates a trading strategy.
About the author

Stjepan Ivanović
Founder of ChartScout and a crypto trader since 2013. He built ChartScout to monitor chart patterns across crypto markets.
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