Calculations

Forex trader's calculators

Six forex trader's calculators and a twenty-point test turn psychology into numbers. All of them compute in the browser, nothing is sent anywhere, and each has the formula next to it — you can repeat it in your own spreadsheet and check it. None of them forecasts income: they show the mechanics, not the future.

Which calculation answers which question

«It feels as though the system is broken — four stops in a row»
Losing streak: shows how ordinary such a run is over your distance.
«How many winning trades do I actually need?»
Break-even win rate: the threshold at your risk/reward ratio and costs.
«I am down a third, how long to recover?»
Cost of a drawdown: the growth required and the number of trades at your expectancy.
«What happens if I double size after a loss?»
Cost of revenge trading: a step-by-step calculation compared with constant risk.
«Is my risk per trade a lot or normal?»
Risk of ruin: the probability of reaching a given drawdown.
«What do the extra trades cost?»
Cost of overtrading: spread, commission and swap per month and per year.
«Which breakdown scenario is mine?»
Map of your breakdowns: twenty statements and a split across five groups.
«None of this has been calculated yet»
Start with the losing streak: it needs only your win rate and immediately answers the most common question — is the system broken or is this a routine run.

Forex calculators online: rules common to all the calculations

01The formula is open

On every page the formula is given in full, with the numbers substituted. If a result looks strange, it can be checked by hand.

verifiability
02Not a single hidden quantity

Every parameter the answer depends on sits on its own slider. A constant hidden inside a model goes out of date silently and substitutes the result in a way that cannot be seen from outside.

transparency
03The calculation runs locally

None of the numbers you enter is sent to a server: the script computes in your browser.

privacy
04Identical inputs, identical answer

Where a simulation over random scenarios is required, the generator runs with a constant seed. Otherwise moving a slider back and forth would produce different numbers.

reproducibility

What inputs are needed and where to get them

All the calculations run on one set of inputs. You cannot take them out of your head — or rather you can, but then the result will describe an imaginary system rather than yours.

Six inputs for all the site's calculations and the typical mistake in each. All six are worked out from the journal in one evening.
InputWhere it comes fromTypical mistake
Win rateThe share of winning trades from a sample of 30 or more in the journalTaking it from the strategy description, where it was calculated without your violations
Risk/reward ratioThe average winner ÷ the average loser, by factTaking a planned 1:3 instead of an actual 1:1.2
Risk per tradeThe maximum, not the average: loss at the stop ÷ equityTaking the one written in the plan, although the actual one is higher
CostsSpread, commission and swap from your own account specificationTaking showcase values instead of actual ones from the statement
DistanceHow many trades you really make in a yearSetting 1,000 when the actual figure is 150 — the model then shows somebody else's life
Stopping thresholdThe drawdown after which you will stop trading by the rulesSetting 50 % while actually breaking at 20 %

About the last row. The stopping threshold is worth defining honestly and in advance. The drawdown after which a person stops following the rules is almost always smaller than the one they name theoretically: for most people it is 20–30 %, not 50. A model built on an inflated threshold shows the survival of an account you would already have abandoned.

The order of calculations: what to work out first and what later

Calculating everything in a row is pointless: some calculations only make sense after others. Below is the order in which each next one rests on the conclusion of the previous.

01Is there an edge

Break-even win rate: we compare your actual one with the threshold at your ratio and costs. If it is below, it is too early to calculate the rest.

step 1
02Is the run normal

Losing trades in a row: we check whether what stopped you was a routine event. Half of the «the system is broken» questions close here.

step 2
03Will the position size hold

Risk of ruin: the probability of reaching your drawdown threshold at the current risk per trade.

step 3
04What the costs come to

The cost of overtrading: the share of costs in the risk and the overpayment for extra trades. It affects the threshold from step one.

step 4
05What the breakdowns cost

The cost of revenge trading and the cost of a drawdown: the price of reacting to a loss and the price of recovery.

step 5
06Which scenario is yours

The breakdown map: where to start if there is nothing to calculate yet or there is no journal.

step 6

The first three steps take an evening and answer the main question: is the problem in the system or in the behaviour. All the conclusions of these calculations and the assumptions adopted are collected on the methodology page.

What the calculations do not replace

A calculator answers the question «what follows from these numbers». The questions it does not answer are worth naming outright — otherwise the wrong things are expected of the tool.

does not replaceYour own statisticsThe inputs come from the journal. Without one the calculation shows what would happen to a system whose parameters you assumed.
does not replaceA decision about a specific tradeAll models work over a distance. None of the seven calculations tells you whether to enter now.
does not replaceTesting a strategy on historyThe calculations take the win rate and the ratio as given. Where they came from and whether they will hold is a question outside the model.
replaces entirelyAn argument about whether that is «a lot or a little»Three percent risk, five stops in a row, thirty percent drawdown — all these quantities stop being a matter of opinion the moment they are put into a formula.

The last row is the purpose of the section. We do not claim that calculation matters more than experience; we claim that some questions have an unambiguous answer, and discussing them in the genre of opinions is a waste of time.

Frequently asked questions

Do these calculators predict income?

No. They show what follows from your inputs by the formula. The inputs are a hypothesis: the win rate and the risk/reward ratio have to be taken from your own statistics, not from what you would like. More detail is in the methodology.

Where do I get the win rate and the risk/reward ratio?

From the journal, on a sample of thirty or more trades. Before that any calculation is an exercise rather than an assessment of your system.

Why is there no position-size calculator?

There is one, but it is built into the formula given on the pages: size = (deposit × risk %) ÷ (distance to the stop × point value). A separate page for it would duplicate the materials where that formula is already explained.

DiagramSix inputs and the typical mistake in each
Six inputs for the calculations and the typical mistake in each: the win rate is taken from the strategy description instead of your own sample, the ratio planned instead of actual, the risk written down instead of maximum, the costs from the showcase instead of your own specification, the distance is overstated, and the stopping threshold is set twice as high as the real one
APTF logo
APTF editorial teamWe examine trading psychology where it shows up in the statement: the price of one broken plan, the probability of a run of stops, the cost of revenge trading and of overtrading. We give the formulas in full so that every calculation can be repeated in your own spreadsheet.Who writes and how we verify the dataData verified: