Risk/Reward Ratio

Reviewed 12 August 2026 · Sourced from the SEC and FINRA on order execution, Kelly’s 1956 paper, published research on the disposition effect, and our own arithmetic where we say so

What the ratio is actually comparing

Somebody is sharing their screen. They draw two horizontal lines on a chart, circle the gap between them, and say “clean setup, three to one risk reward.” It lands like a fact about the trade. It is an arithmetic statement about two prices that person typed in a minute ago, and it is roughly half of what you would need to know before doing anything with it.

A risk/reward ratio needs three prices, and only three: where you get in, where you get out if you are wrong, and where you get out if you are right. Everything else on the chart is decoration for this purpose.

Now the part that causes more trouble than it should. The colon carries no information about which side is which. Some writers put risk first, so that trade is “1:3” — risking one unit to make three. Others put reward first, so the identical trade is “3:1.” A few platforms report a “risk/reward” field where the number is reward divided into risk, so the same trade shows up as 0.33 and lower is better, which inverts every instinct you just built. All three notations describe one thing: $250 at risk to make $750.

So do not trust the punctuation. Say which number is which, in words, every time. “$250 at risk to make $750” cannot be misread. “3:1” can, and regularly is, including by the person who wrote it. Everywhere on this page, R means reward divided by risk, so a bigger R means a target further from the entry relative to the stop.

The break-even win rate, which is the missing half

“Is 3 to 1 good?” has a real answer, and the answer is a question back: how often does it win? Below a certain hit rate a 3-to-1 trade loses money forever. Above it, the same trade makes money forever. That line has an exact position and you can derive it in two lines of algebra.

Take a run of trades. Call the win rate w, and measure everything in units of the risk, so a loss costs 1 and a win pays R. Over a long enough run, total winnings are w × R and total losses are (1 − w) × 1. Set them equal and solve for w:

Notice that the “also written as” column contains 1:2 twice, in two different rows, meaning two opposite trades. That is the notation problem from the previous section, sitting in a table where it can do real damage.

So: 3 to 1 is good if you win more than a quarter of the time, and it is bad if you don’t. That is the complete answer, and it is not the answer anybody gives you, because giving it requires knowing something about the win rate and the ratio is available for free. A ratio quoted without a win rate is a sentence with the verb missing.

Read the table the other direction too. The bottom rows are the reason lottery-shaped strategies are not automatically foolish — a 10-to-1 structure only needs to work about one time in eleven. The top row is the reason the reverse structure is so punishing: at 0.5, you need to be right two thirds of the time before you have made a dollar. Every row here ignores costs, which is a real omission and is handled further down.

Expectancy, the number the ratio is only an input to

The break-even table tells you where the line is. Expectancy tells you which side of it you are on, and by how much. It is the average dollar result of one trade, and it is the number that actually decides whether a way of trading survives.

Here is the case that changes how the ratio reads. Same trade as above: risk $250, reward $750, a genuine 3 to 1. The break-even table says it needs 25%. Suppose it wins 20% of the time — five percentage points under the line, which is nothing, an amount you would never notice in a run of trades.

Now run it the other way, with the ratio everybody dismisses. A 1-to-1 trade — risk $250 to make $250 — that wins 55% of the time: 0.55 × $250 − 0.45 × $250 = +$25 per trade, or $2,500 over a hundred trades. The worse-looking ratio made money and the better-looking one lost it, and no amount of staring at either ratio would have told you which was which.

Both win rates above are hypothetical numbers chosen to make the arithmetic visible. This page is not claiming that any strategy wins 20% or 55% of the time, and you should be suspicious of any page that does claim a hit rate without naming the study it came from. What is being claimed is narrower and harder to argue with: the ratio and the win rate multiply together, so neither one is interpretable alone.

Expectancy also explains a thing beginners find maddening: a strategy can be profitable and still lose money for months. Expectancy is an average over a long run, and a long run contains streaks. That gap between the arithmetic and the experience of living through it is the whole subject of the Trading Psychology course, and it is why loss aversion belongs on a page about a ratio.

One measured number divided by one imagined one

Time to be blunt about the structure of this thing, because it is the part the ratio’s popularity depends on nobody noticing.

The risk leg is anchored to something real. A stop price is a number you can put into an order ticket. There is an actual instruction sitting at the broker, and while the fill can come in worse than the price you named, the price you named is tethered to a real object in the world. See stop-loss order for how that tether stretches.

The reward leg is anchored to nothing at all. A target is a price you decided you would like. Nobody has agreed to pay it. No order exists at it until you place one, and placing one does not make anyone fill it. It is a hope with a decimal point.

So the ratio is a measured number divided by an imagined number, presented with the confidence of a measurement. And the incentive runs exactly one direction. A setup that computes to 1.4 to 1 looks unappealing. Drag the target further out and it computes to 3 to 1. Same entry, same stop, same chart, same actual trade — better-looking number. That is lying to yourself with arithmetic, and it is easy, private, and produces a spreadsheet that looks disciplined.

The tell is the order of operations. Three questions that separate an honest ratio from a reverse-engineered one:

• Was the target written down before the ratio was computed, or after? If the ratio came first and the target was solved for, the ratio is a restatement of what you wanted.
• Is there a reason the target sits at that specific price that has nothing to do with the ratio? A prior high, the far side of a range, a level the stock has turned at repeatedly — see support and resistance. “It needed to be there for the math to work” is not a reason.
• Would the same rule have put the target in the same place on a chart you have never seen? A target chosen by a written rule is a different object from one chosen by eye, even when the price happens to match.

None of this makes the ratio useless. It makes it a plan rather than a measurement, and plans are worth having. Writing down an exit before you need it is most of what discipline consists of, and a trade with a defined stop and a defined target is a genuinely different act from one with neither. Just do not let the arithmetic launder the guess. A breakout target set at “the height of the range projected upward” is still a convention someone invented; it is simply a convention you did not invent on the spot to justify a position.

What eats the ratio between the plan and the outcome

There are two ratios and people conflate them. The planned ratio comes from three prices you chose. The realized ratio comes from the fills your account actually got. The second is the one that pays for groceries, and it is reliably worse. Three leaks, in the order they cost the most.

1. Cutting the winners short

The reward leg only pays out at $50.00 if you are still holding at $50.00. Take profit at $46.25 because it felt like enough and you have cut the reward from $7.50 to $3.75 a share — you have destroyed the arithmetic that justified taking the trade in the first place. The break-even win rate you were relying on was computed from a target you did not use.

This is not a hypothetical failing. Terrance Odean examined trading records for 10,000 accounts at a discount brokerage and found a strong preference for realizing gains over losses — a proportion of gains realized of 0.148 against a proportion of losses realized of 0.098 — and reported that the winners those investors sold went on to outperform the losers they kept by roughly 3.4% over the following year (The Journal of Finance, October 1998). Named study, named numbers, cited below. The usual explanation is loss aversion: closing a small gain feels like banking a win, and closing a loss feels like admitting one.

2. Gaps and slippage on the risk leg

The risk leg is anchored to a real order, which is not the same as being guaranteed. The SEC’s own investor education site states the mechanism in one sentence: “When the stop price is reached, a stop order becomes a market order.” A market order fills at whatever is available. FINRA is blunter, under the heading “Stop Prices Aren’t Guaranteed Execution Prices”: “the price you receive upon execution ... could be markedly different than your stop price.”

Earnings after the close, news overnight, a halt that reopens lower — your $40.00 stop becomes a $39.40 fill and your $2.50 of risk was really $3.10. You did not do anything wrong. The market simply was not at $40.00 when it was your turn.

3. Commissions and the spread, on both legs at once

Costs come out of the reward and get added to the risk, which is the worst of both. Even at zero commission you cross a bid-ask spread going in and coming out. Call it five cents a share round trip, all in. That is trivial against a $42.50 stock and not trivial at all against a $2.50 stop.

That is the whole argument for keeping a record of realized ratios rather than planned ones. The planned number is a statement about your intentions. The realized number is a statement about your fills, your nerve and your broker, and it is the only one the break-even table should ever be applied to.

The minimum-ratio rules, and the trade-off nobody mentions

“Never take a trade under 2 to 1.” “Minimum 3 to 1 or I don’t touch it.” These are everywhere, and they are convention. No exchange publishes a minimum ratio. No regulator publishes one. No standard-setting body publishes one. There is no filing you can look it up in, and nothing in the arithmetic singles out 2 or 3 — 1 ÷ (1 + R) is a smooth curve with no kink anywhere on it.

Read charitably, the rules are doing two useful things. They are a crude way of saying “leave yourself room to be wrong most of the time,” which is sound. And they force a target to exist before the order goes in, which is worth something regardless of where the target is. A trader with a bad minimum-ratio rule is still ahead of a trader with no exit plan.

But here is the cost, and it is left out of essentially every version of this advice. A target further away is reached less often. Move the target from $46 to $50 and you have improved R, and in the same motion you have lowered the probability that the target is ever touched, because the price now has further to travel and more opportunities to turn around before it gets there. The break-even table tells you what win rate you need. It has nothing to say about what win rate you will get, and pushing the target moves both numbers in opposite directions.

So “minimum 3 to 1” is not free risk management. It is a decision to swap hit rate for payoff size, and whether that swap helped depends entirely on how much hit rate it cost — a question about your own record, not about the number 3. You cannot raise R without paying for it somewhere.

Two more consequences worth having in advance. High-R rules produce long losing streaks by construction: if break-even is 25%, then losing three, four or six in a row is ordinary and means nothing. Whether a person can sit through that without abandoning the method is a separate question from whether the method works, and it is the harder of the two. And at the other end there is a floor — any R below 1 requires a win rate above 50% just to stay level, and R of 0.5 requires 66.7%, which is why structures that risk more than they aim to make get called out even by people who otherwise dislike ratio rules.

How the ratio composes with position size

Two decisions get collapsed into one constantly, and separating them cleanly is most of the practical value of both concepts.

• The ratio, together with a win rate, decides whether the trade is worth taking at all. That is a yes-or-no question about expectancy.
• The stop distance decides how big the position can be. That is a how-much question, and the ratio has no opinion on it.

The link between them is the stop, which appears in both. Cap the dollars you are willing to lose on any one trade, and the share count falls straight out of the distance to your stop — that is the whole of position sizing, and it is division.

Now the interaction that catches people, because it looks like a free lunch. Tighten the stop and two good things appear at once: you can hold more shares for the same dollar risk, and for a fixed target your R goes up, because you shrank the denominator. Entry $42.50, target $50.00, stop moved from $40.00 to $41.50 turns a 3.0 into a 5.0.

It is not free. A tighter stop is hit more often — that is what tighter means. You bought a higher R and a bigger position with a lower win rate, and the break-even table just raised its demand on you from 25% to 16.7% while the actual hit rate fell by an amount you cannot see from here. The stop is a single lever wired to the ratio, the size and the hit rate simultaneously, and moving it never improves all three.

One last thing, and it is the site’s position rather than a piece of arithmetic. None of this changes what a loss does to a household with no cushion underneath it. Expectancy is an average over a long run, and a long run assumes you are still solvent at the end of it. That is what the emergency fund calculator is for, and it is a more consequential number than R.

What is arithmetic here, and what is just convention

This page mixes two very different kinds of claim: arithmetic you can verify in ten seconds, and rules of thumb that are true only because enough people repeat them. They are separated here on purpose, because the second kind travels dressed as the first.

The pattern in that table is worth naming. Everything Confirmed is arithmetic or an execution mechanic. Everything about what ratio you ought to demand is convention or unverified. The arithmetic is the part with no author and no controversy, and it is also the part that gets skipped.

What trips people up

• Quoting a ratio without a win rate. The single most common error on this subject, and it makes the number uninterpretable. 3 to 1 needs 25%; whether the setup delivers 25% is a completely separate question and the ratio cannot answer it.
• Trusting the colon. “1:2” appears twice in the break-even table above, in two rows that describe opposite trades. Say which number is the risk and which is the reward, in words, every time.
• Solving for the target. Deciding you want 3 to 1 and then placing the target wherever produces 3 to 1 is not analysis. The risk leg is tethered to a real order; the reward leg is tethered to nothing, and that asymmetry is what makes the trick possible.
• Treating a high ratio as a margin of safety. It lowers the win rate you need. It does not tell you whether you clear the lower bar, and reaching for it usually lowers the win rate too.
• Comparing planned ratios to realized results. If you exit winners early and get gapped through your stops, your realized ratio is not the one you journaled. Apply the break-even table to the fills you got, not the prices you hoped for.
• Ignoring costs because they look small. Commission and spread come off the reward and get added to the risk. Five cents a share is nothing against a $42.50 share price and meaningful against a $2.50 stop.
• Letting the ratio decide the position size. Different questions. The ratio says whether; the stop distance says how much. See position sizing.
• Quitting a sound method during an ordinary streak. At a 25% break-even, several losses in a row carries no information at all. Expecting that in advance is cheaper than discovering it live — which is the argument for the pre-trade checklist and for treating the psychology side as part of the method rather than a soft add-on.
• Learning this on the money that pays rent. No ratio, no matter how favorable, changes what a loss does to a household with nothing behind it.

The figures on this page are checked against the source that publishes them, and dated. Published rates move after the release named above — the linked source always carries the current number. This page explains a term; it does not recommend a product.