Risk-Reward Ratio: The Math Behind Every Trade You Take

Somewhere early in every trading education, a rule appears: never take a trade unless you can make at least twice what you risk. It sounds like discipline, and it is repeated so often that questioning it feels reckless. This sheet does the arithmetic behind the slogan. The risk-reward ratio is genuinely fundamental — it is half of the equation that decides whether an account grows or shrinks over hundreds of trades. But it is exactly half, and treating the ratio alone as a quality filter misreads how the two halves move against each other.

R: measuring every trade in multiples of risk

Start with the only honest unit trading has. Dollars mislead — a $200 win means different things on a $2,000 account and a $200,000 one — and pips mislead too, because pips ignore position size. The unit that survives is R: the amount put at risk on the trade, defined by where the ▲stop-loss sits and how large the position is. Risk $100, and $100 is 1R for that trade. A win of $150 is +1.5R. A loss at the stop is −1R, by construction.

The ▲risk-reward ratio is then just the trade's shape stated in advance: how many R the ▲take-profit target offers against the 1R the stop will cost. On the survey's anchor numbers: buy EUR/USD at 1.0850 with a stop at 1.0820, 30 pips away. On a $10,000 account risking 1%, the sizing formula gives 0.33 lots, so the stop costs about $99 — that is 1R. A target at 1.0910, 60 pips away, offers about $198, or +2R: a 1:2 trade. The symmetry stays exact at every size: the 30 pips that would cost $99 against you earn $99 in your favour; the ratio only describes how far you let each side run.

R also makes records comparable in a way no other unit manages. “+340 pips last month” says nothing without sizes; “+$700” says nothing without the account behind it. “+3.5R over forty trades” is a complete statement — it survives account growth, account size, and pair changes, which is why the rest of this region's sheets quote outcomes in R and why your journal should too.

The break-even table — derived, not memorized

Once trades are measured in R, the long-run accounting is one line. Each win adds the payoff ratio; each loss subtracts 1. Break-even is where wins exactly pay for losses, and solving that gives the win rate each ratio requires:

Two honest readings of this table. First: a trader winning only one trade in three is profitable at 1:2 — losing most of the time and making money are compatible, which surprises everyone at first. Second, and less advertised: the first row is not automatically bad. A method that wins 80% of the time at 1:0.5 clears its 66.7% hurdle and earns steadily. The table sets the bar each shape must clear; it says nothing about which bar is easiest to clear in practice.

One adjustment before relying on these numbers: they are computed before costs. The spread is paid on every trade, win or lose, and it is paid in pips — so it taxes tight-stopped trades hardest. On the setup above, a 1-pip spread against a 30-pip stop quietly turns the advertised 1:2 into roughly 1:1.9, nudging the real break-even win rate above the table's figure. The correction is small for swing trades and brutal for very short-term ones; the costs sheet in this survey works it through in full. For now, the rule of thumb: the tighter the stop, the more the table flatters you.

The trade-off nobody mentions

Here is where the folklore breaks. The slogan treats the ratio as a free dial: demand 1:3 instead of 1:1 and triple your payoff. But the target is not a paperwork entry — it is a distance the price must actually travel before it travels 1R against you. Stretch the target further away and fewer trades reach it. The payoff ratio rises and the win rate falls, at the same time, caused by the same decision.

Make it concrete with the EUR/USD setup above. With the stop 30 pips away, a 30-pip target gets hit by modest, ordinary movement. A 90-pip target needs the move of a good week. Whatever the true probabilities of that setup are, the 1:3 version of the trade wins less often than the 1:1 version — necessarily. Anyone who promises a fixed win rate and a fixed ratio independently of each other is describing a machine that does not exist.

This is also why “never take less than 1:2” fails as a universal rule. Forcing every trade into a 1:2 shape means placing targets the setup may not support — and paying for the cosmetic ratio with a win rate that quietly drops below the 33.3% the table demands. The ratio looked disciplined in the journal. The product is what arrived in the account.

What to demand instead: the product, not the ratio

The number that actually decides outcomes multiplies the two halves together — the expected R per trade, usually called expectancy:

Read the three rows together. The first and second are both profitable with completely different shapes — there is no virtue in the ratio itself. The third row is the folklore trap made visible: a respectable-looking 1:2 ratio losing steadily, because its win rate sits below the table's hurdle. What to demand from a setup, then, is not a minimum ratio but an honest pair of numbers: the shape it really has, and the win rate it really achieves — measured, not asserted.

Measured means a journal. Two extra fields per trade are enough: the planned R (distance to stop, in money) and the result in R (profit or loss divided by that figure). After a few dozen trades the journal answers what no slogan can — your actual average win in R, your actual win rate, and whether targets you place are ever reached or routinely abandoned halfway. Most traders who keep these two fields discover their realized ratio is lower than their planned one, because exits made under stress give back part of the target. That gap between planned and realized R is invisible in the slogan version and decisive in the account. How many trades the measurement takes before it means anything — far more than twenty — is the subject of the expectancy sheet later in this region.

Until those numbers exist, the practical posture is humility about both halves: keep risk per trade small and constant, place stops and targets where the chart says they belong, and let the journal — not a slogan — tell you what your trading actually earns per R.