Risk Reward Ratio: The Breakeven Math Behind the 3:1 Myth

Most explanations stop at the division. Reward over risk, pick 1:2 or 1:3, done. The division is correct and takes one line.

What gets left out is the part that decides whether the ratio helps you at all. The further away you put the target, the less often price gets there, and on a market with no edge those two effects cancel out exactly. Run the arithmetic in both directions and it also shows where a ratio worth trading actually comes from.

What is a risk reward ratio?

A risk reward ratio is the distance from your entry to your stop compared with the distance from your entry to your target. Risk comes first: 1:2 means the target sits twice as far away as the stop. It is a property of three prices on the chart, fixed before you enter, and it stays the same whether you trade one micro lot or ten standard lots.

The unit that makes this portable is 1R, the distance from entry to stop. Measure the target in the same unit, and a target at twice the stop distance is 2R on EURUSD, on gold, on a one-minute chart or a daily one. Position size then turns 1R into money. Doubling the lot doubles the possible loss and the possible gain together, so the cash changes and the ratio does not. That conversion is a separate calculation, and the position size calculator walks through it.

Risk reward ratio calculator: the math by hand

Any risk reward calculator does the same division, and it takes ten seconds by hand:

For a long trade that is (target − entry) ÷ (entry − stop). For a short, flip both differences: (entry − target) ÷ (stop − entry).

A long on EURUSD at 1.0850, with the stop at 1.0825 and the target at 1.0925, risks 25 pips to make 75. Seventy-five divided by twenty-five is three, so the ratio is 1:3. On a currency pair you can work in pips or in raw price; the answer is the same as long as both distances use the same one. A forex risk reward calculator adds only the conversion to cash, and that depends on the lot, not on the ratio.

1:3 or 3:1: which way round?

Both, depending on who writes it. Risk:reward puts the risk first, so 1:3 means risking one to make three. Plenty of platforms and traders write the same trade as reward-to-risk, 3:1. Neither is wrong, but "a minimum of 1:2" and "a minimum of 2:1" can describe the same rule or opposite ones. Check the order before comparing a source's numbers with yours. The rest of this page writes risk first.

What win rate does a risk reward ratio need to break even?

A ratio of 1:R breaks even when your win rate equals 1 ÷ (1 + R). At 1:2 you need one winner in three, because one win paying 2R covers two losses of 1R each. That number is a floor. Below it you lose money however good the setups look, and at it you only stand still.

Costs move every row, and they are easiest to handle in the same unit. Spread, commission and slippage are paid on every trade, so a winner pays R minus the costs and a loser costs 1R plus them. Written as a share of 1R, call it c, the floor becomes (1 + c) ÷ (1 + R). A 25-pip stop with roughly 1 pip of costs gives c = 0.04, and the floor at 1:3 moves from 25% to 26%. The table uses 0.1R so the effect is visible.

Two things in that table are easy to miss. Going from 1:1 to 1:2 lowers the required win rate by almost seventeen points; going from 1:4 to 1:5 lowers it by about three. And the cost column bites hardest at the top, where the ratio is small and the stop is usually tight. Past roughly 1:3, a wider target changes the requirement very little.

Why doesn't a 1:3 ratio always win?

A target only pays when price gets there, and the farther out it sits, the less often that happens. On a price with no directional edge, the chance of reaching +3R before −1R is one in four. That is the same number as the breakeven floor, so the wider target buys nothing by itself. The myth lasts because its first half is true.

The first half is the table above: a wider target lowers the win rate you need. The second half almost never appears next to it. Picture a price that is as likely to go up as down from any point, a market with no edge from where you stand. On that price, the chance of touching a level R units above your entry before touching one unit below is 1 ÷ (1 + R). One in two for 1:1, one in three for 1:2, one in four for 1:3.

Set those odds against the payoffs and every row cancels. A quarter of the trades winning 3R adds 0.75R; three quarters losing 1R takes 0.75R away. The sum is zero, and the same happens at 1:1 and at 1:5. The ratio changes what the results look like, with rarer and larger winners and longer losing runs between them, but not what they add up to. Add costs and every row goes negative by the same amount.

That is why "3:1 always wins" is a myth rather than a rule. The ratio moves the finish line and the odds of crossing it together, so the ratio on its own cannot be an edge. An edge, if you have one, means price reaches your target more often than 1 ÷ (1 + R) from the places where you enter. That depends on where the entry and the stop sit, not on the multiple you picked, and no diagram can tell you whether you have it. It shows up, or does not, across a sample of your own trades.

Two consequences follow from the low hit rates. Long runs of losses are normal at one win in four, and how deep they dig is its own arithmetic, covered under drawdown and risk of ruin. And even with a real edge, a wide target leaks in practical ways that the overview of risk management trading sets out.

Is there a best risk reward ratio for day trading?

No single ratio is best for day trading, or for any other style. A ratio worth taking is read off the chart: the stop goes where the trade idea is proven wrong, the target goes at the next level that price has a reason to reach, and the ratio is whatever those two distances give. What day trading changes is how much of each unit of risk the costs eat.

Take the frame above. Price broke higher, then pulled back into a zone. The stop belongs below the zone, because a close through it means the reason for the trade is gone; how that level is found is the subject of order block trading. The target is the high the pullback started from, since the stops resting above it are the liquidity the structure points to, as liquidity in trading explains. Measured, that gives 1.6R. Not 2, not 3. Insisting on 3R means placing the target far above anything the chart shows, which is the mistake from the previous section drawn to scale.

Day trading changes the arithmetic through costs. Intraday stops are tight, and spread and commission do not shrink with them. An 8-pip stop with about 1 pip of costs puts c at 0.125, so the floor at 1:2 rises from 33.3% to 37.5%, and at 1:3 from 25% to about 28%. The same setup traded with a 40-pip swing stop barely notices those costs, because c falls to 0.025.

So the practical answer for day trading is the ratio the levels give, provided it clears your costs with room to spare. When the nearest level sits closer than that, the honest move is to skip the trade, not to stretch the target until the number looks right.

What ratio are you actually trading?

The ratio you plan is a drawing; the ratio you trade lives in your filled orders. Take your average winning trade and your average losing trade, both measured in R, and divide one by the other. That realized ratio, set against the win rate you actually recorded, is the only pair of numbers worth checking against the breakeven table.

Several habits pull the realized number away from the plan. Moving the stop to breakeven turns some would-be winners into scratches. Partial closes bank part of a trade at 1R and let the rest run, so the average win lands somewhere in between. Slippage on stops makes the average loss larger than 1R, which lowers the ratio from the other side. None of these is wrong in itself. Each one changes the number you have to beat.

With both averages in hand, expectancy per trade in R is the win rate times the average win, minus the loss rate times the average loss. For a hypothetical realized 1:1.8 at a recorded 38% win rate, that is 0.38 × 1.8 − 0.62 × 1, or about +0.06R per trade, before you ask whether the sample is large enough to trust. The win rate is the one number in that line you cannot set; it has to be measured over enough trades to mean something. How much money one R should be is a separate decision, covered in how much to risk per trade.

Where SMCZone fits

The arithmetic on this page fits on an index card. Holding to it while a trade is open is a different skill, and that is where our Curriculum starts. The beginner track puts sizing and invalidation before any entry model, and the mentored tracks review your own filled trades, which is exactly where a realized ratio gets measured instead of assumed. The waitlist is open, with founding pricing and a free year of Money Hunter for the first members.

On the chart side, Money Hunter marks inducement, breaks of structure, changes of character and order blocks on TradingView and MetaTrader 4/5, so the stop and the target each have a level to sit at instead of a round number of pips. It is non-repaint by code, which you can check with a 100-bar replay before relying on it. The free trial covers the TradingView version and the alerts.

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