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Risk and reward

Risk and the mind: how accounts survive3 min read
What you learn in 3 minutesRisk and reward is the comparison between what a position risks if the stop is hit and what it aims to gain if the target is reached. On a standard lot of AUD/USD, one pip is worth 10 units of the quote currency, which at a rate near 0.6640 is about A$6.64. This lesson shows what a chosen ratio does to the share of trades that must work before a series of trades ends in front.
Risk1Reward21 : 2Profit / Loss
A schematic diagram showing one losing trade of 20 pips against two winning trades of 20 pips each, with the net result marked below.

Break-even win rate from the ratio

The break-even win rate is the share of trades that must succeed for the gains to exactly cover the losses. It depends only on the ratio between the stop distance and the target distance. For a stop of 20 pips and a target of 40 pips, the ratio is 1 to 2. The break-even win rate is the stop distance divided by the sum of the stop and target distances. Here, 20 divided by 60 gives one third, or about 33.3 per cent. At that win rate, the net result is zero before costs.

If the ratio changes, the break-even win rate changes with it. A stop of 30 pips and a target of 30 pips gives a ratio of 1 to 1. The break-even win rate is 30 divided by 60, which is 50 per cent. A stop of 20 pips and a target of 60 pips gives a ratio of 1 to 3. The break-even win rate is 20 divided by 80, which is 25 per cent. The arithmetic is fixed: a wider target relative to the stop lowers the share of trades that must work.

This break-even figure is not a prediction. It is the point where the sum of wins equals the sum of losses. Actual results will differ because the win rate is not known in advance. The next section shows how to use this figure with a sample of past trades.

Reading the ratio from the chart, not from hope

The ratio you can actually get is set by the levels the chart shows. To measure it, find a price where the market has repeatedly turned. That is a potential stop level. Then find the next level where the market has repeatedly stalled. That is a potential target level. The distance from entry to stop and from entry to target gives the ratio. If the stop is 18 pips away and the target is 42 pips away, the ratio is 18 to 42, which simplifies to 1 to 2.33. That ratio is not chosen; it is observed.

Price does not always travel the full distance to the target before returning to the stop. A ratio that looks attractive on paper may sit at a level price rarely reaches. For example, a target 60 pips away might be beyond a recent high that price has failed to break three times. In that case, the target is unlikely to be hit before the stop. The ratio on the order ticket is still 1 to 3, but the chance of reaching it is lower than the arithmetic alone suggests.

Because the available ratio varies with the chart, you cannot assume a favourable ratio will always appear. Some weeks, the distance to the next clear level is small, giving a ratio near 1 to 1. Other weeks, it is larger. The break-even win rate you need changes accordingly. The only honest approach is to measure the ratio from the levels in front of you and accept that it may be less favourable than you would like.

Estimating the hit rate from past results

The hit rate is the share of past trades that reached their target before their stop. It can only be estimated from a record of closed trades. A record of 50 trades with 22 winners gives a hit rate of 44 per cent. That figure describes what happened, not what will happen. It is a starting point for comparison with the break-even win rate. If the break-even rate is 33.3 per cent and the past hit rate is 44 per cent, the past series would have been in front before costs.

A small sample can mislead. Ten trades with six winners give a hit rate of 60 per cent, but ten trades is too few to rely on. The same strategy over 100 trades might show 38 winners, a hit rate of 38 per cent. The difference between 60 per cent and 38 per cent is large, and it comes from chance. For a rough guide, treat fewer than 30 trades as a sketch, not a measurement. Even 100 trades can be unrepresentative if market conditions change.

Costs reduce the effective hit rate. The spread is paid on entry and exit, and commission or swap may apply. These costs are not part of the ratio but they affect the net result. If the break-even win rate is 33.3 per cent before costs, it will be higher after costs. The exact amount varies between brokers, so the only way to know your own break-even rate is to include the costs your broker charges.

A ratio of 1 to 2 across 10 trades

StepAmountNote
Stop distance20 pipsthe distance from entry to the protective stop
Target distance40 pipsthe distance from entry to the target, twice the stop
Value of one pipA$6.6410 units of the quote currency at a rate of 0.6640
Loss when the stop is hitA$132.8020 pips multiplied by A$6.64
Gain when the target is reachedA$265.6040 pips multiplied by A$6.64
Trades in the series10a chosen count for the arithmetic
Winners at a 40 per cent hit rate440 per cent of 10 trades
Losers at a 40 per cent hit rate6the remaining trades
Total from the winnersA$1,062.404 trades multiplied by A$265.60
Total from the losersA$796.806 trades multiplied by A$132.80
Net result of the seriesA$265.60A$1,062.40 minus A$796.80

The broker may round pip values, charge a spread on entry and exit, and add commission or a swap on positions held overnight. Any of these changes the figures above, and the amounts vary between brokers.

Doing it once, step by step

These steps show how to calculate the break-even win rate for a chosen ratio and compare it with a past hit rate. Do them once with the example figures, then again with your own numbers.

  1. 01

    Measure the stop distance

    Find a price level on the chart where the market has turned several times. That is a candidate stop. Count the pips from your entry price to that level. For example, if entry is at 0.6640 and the stop is at 0.6620, the distance is 20 pips.

  2. 02

    Measure the target distance

    Find the next level where price has stalled or reversed. That is a candidate target. Count the pips from entry to that level. If entry is at 0.6640 and the target is at 0.6680, the distance is 40 pips.

  3. 03

    Write the ratio

    Write the stop distance first, then the target distance, separated by 'to'. For 20 pips and 40 pips, the ratio is 20 to 40, which simplifies to 1 to 2. This ratio describes the trade you are considering.

  4. 04

    Calculate the break-even win rate

    Divide the stop distance by the sum of the stop and target distances. For 20 and 40, that is 20 divided by 60, which equals 0.333. Multiply by 100 to get 33.3 per cent. This is the share of trades that must win for gains to cover losses.

  5. 05

    Compare with a past hit rate

    From a record of at least 30 closed trades, count how many reached their target before their stop. Divide that number by the total. If 15 out of 40 trades won, the hit rate is 37.5 per cent. Compare it with the break-even rate from step four.

  6. 06

    Adjust for costs

    Add the spread, commission and any swap to your calculation. These costs raise the break-even win rate. Because they vary between brokers, check your own broker's fees and recalculate. The difference tells you how much the costs change the required hit rate.

The mistake most people make here

The common mistake is to assume a favourable ratio can always be found on the chart, so the arithmetic is treated as a promise. A ratio of 1 to 2 means the target sits twice as far from entry as the stop, and price does not always offer that distance before the stop is reached. Instead, measure the ratio from the levels the chart actually shows, and treat the hit rate as something only past results can estimate. A ratio that looks attractive on paper can still lose money if the stop is placed where price regularly reaches it.

Check yourself

With a stop of 20 pips and a target of 40 pips, what is the ratio and what does one pip pay on a standard lot of AUD/USD at 0.6640?

The ratio is 1 to 2. One pip is 10 units of the quote currency, which at 0.6640 is about A$6.64.

If 10 trades are taken at that ratio and 4 win, what is the net result in A$?

The 4 winners gain 4 x 40 x A$6.64 = A$1,062.40. The 6 losers lose 6 x 20 x A$6.64 = A$796.80. The net result is A$1,062.40 minus A$796.80 = A$265.60.

What happens to the net result if the hit rate falls to 30 per cent over the same 10 trades?

Three winners gain 3 x 40 x A$6.64 = A$796.80. Seven losers lose 7 x 20 x A$6.64 = A$929.60. The net result is A$796.80 minus A$929.60 = a loss of A$132.80.

Questions that come up next

How is the break-even win rate worked out from the ratio?

Divide the stop distance by the stop distance plus the target distance. With a stop of 20 pips and a target of 40 pips, 20 divided by 60 is one third, or about 33.3 per cent. At that share of winners, the gains exactly cover the losses before costs. The figure changes whenever either distance changes.

Why does a wider target lower the share of trades that must work?

Each winner then covers more than one loser. A stop of 20 pips against a target of 60 pips gives a break-even win rate of 20 divided by 80, which is 25 per cent. The arithmetic is fixed, so a larger target relative to the stop always lowers that share. It does not make the target more likely to be reached.

Can the ratio be chosen freely before a trade is placed?

No. The ratio is set by the levels the chart shows, not by preference. Measure the distance from entry to a level where price has repeatedly turned, and from entry to the next level where it has repeatedly stalled. If those distances give 18 pips and 42 pips, the ratio is 1 to 2.33, and that is observed rather than selected.

What does the break-even win rate not tell me?

It is not a forecast of how often trades will work. It is only the point where the sum of wins equals the sum of losses. The actual win rate is unknown until trades are taken and recorded. Treat any estimate of it as something only past results can suggest.

How do costs change the figures?

The broker may round pip values, charge a spread on entry and exit, and add commission or a swap on positions held overnight. Each of these moves the result away from the break-even figure. The amounts vary between brokers, so the effect on a series of trades varies too.

What does a favourable ratio do to the risk in a series of trades?

It lowers the share of trades that must work before the series ends in front, and nothing more. A ratio that looks attractive on paper can still lose money if the stop sits where price regularly reaches it. The ratio and the chance of reaching the target are separate things.

The words used on this page

ratio
The comparison between the distance from entry to the stop and the distance from entry to the target. A stop of 20 pips and a target of 40 pips gives a ratio of 1 to 2. It describes the two distances, not the chance of either being reached.
pip
The smallest standard step in a currency pair's quoted price. On a standard lot of AUD/USD, one pip is worth 10 units of the quote currency. At a rate near 0.6640, that is about A$6.64.
stop
The price at which a losing position is closed to limit the loss. Its distance from entry is the amount risked if it is hit. That distance is the first number in the ratio.
target
The price at which a winning position is closed to take the gain. Its distance from entry is the amount aimed for if it is reached. That distance is the second number in the ratio.
spread
The gap between the price at which a position can be bought and the price at which it can be sold. It is charged on entry and exit. It varies between brokers and adds to the cost of a series of trades.
swap
A charge or credit applied to a position held overnight. It varies between brokers and depends on the pair and the direction of the trade. It changes the net result of trades held past the daily close.

What to take away

  • The ratio is the stop distance against the target distance, and the break-even win rate follows from it by fixed arithmetic.
  • A wider target relative to the stop lowers the share of trades that must work, but it does not raise the chance of reaching that target.
  • Measure the ratio from the levels the chart shows, and treat the hit rate as something only past results can estimate.
  • Spread, commission and swap move the result away from the break-even figure, and the amounts vary between brokers.
Next in Risk and the mind: how accounts surviveDrawdown and losing streaks
Trading forex and CFDs carries a high risk of losing money. Most retail accounts lose. Nothing here is a recommendation to trade or a forecast of any result.Kateyour course guide