Win Rate, Risk-Reward and Expectancy: Correct Trading Math

Win rate describes how often defined outcomes are positive. A planned reward-to-risk ratio compares a target with a stated initial risk. Historical expectancy, more precisely a sample mean, describes the average included outcome. These are different quantities: substituting a target ratio for realised results does not calculate an actual trading edge.

If you searched for a “profit counter trading RR”, the useful task is a reproducible ledger linking the original plan, actual fills, costs and outcomes. No separate audited indicator or verified-profit guarantee follows from that phrase.

Define the Population, Costs and Units

State the account, currency, dates and record unit: closing deals, fully closed positions and grouped trading ideas are different populations. Reconcile separately reported charges with the source’s profit figure without deducting them twice. Preserve excluded or missing records. Closed outcomes omit still-open losses and cannot reconstruct every historical floating-equity low.

N = included closed-outcome count
p_win = positive-outcome count / N
p_loss = negative-outcome count / N
p_zero = zero-outcome count / N
p_win + p_loss + p_zero = 1

Use the same denominator for these fractions. With no included observations, a sample win rate or mean is unavailable, not a measured zero. Whether a zero outcome means exact net zero or a stated tolerance must be documented consistently.

Keep Planned Reward-to-Risk Notation Unambiguous

Here q means planned reward divided by planned risk, as a positive number. Thus q = 2 corresponds to risk:reward = 1:2. Writing “2:1 RR” without defining the order is ambiguous; it must not be used once to mean two units gained per unit risked and elsewhere to mean two units risked per unit gained.

long q = (target − entry) / (entry − original stop), where stop < entry < target
short q = (entry − target) / (original stop − entry), where target < entry < stop

These are before-cost price-distance ratios for an assumed fixed-size linear payoff and consistent value conversion. Reject a zero stop distance or levels on the wrong sides; absolute values alone can hide an invalid plan.

Contract value, volume, account-currency conversion, fees and actual execution matter for monetary exposure. A planned stop is not a guaranteed maximum loss, and a target is not a realised gain. Partial closes, changed stops and costs can make the actual result differ from the original ratio. See the initial-risk R calculation guide for monetary outcomes and partial exits.

Calculate the Historical Cash Mean from Realised Outcomes

sample mean cash P/L = sum of included net cash outcomes / N
                     = p_win × mean positive cash outcome
                       − p_loss × mean loss magnitude

The loss magnitude is positive; do not subtract a signed negative loss. Zero outcomes contribute zero but remain in the stated denominator. The result has units of account currency per included trade. The MetaTrader testing-report reference describes average deal outcomes and their report population; another product’s field name does not establish the same calculation or cost basis.

For four hypothetical net outcomes +$200, +$100, −$100 and $0: net total is $200, mean is $50, winning fraction is 2/4 and losing fraction 1/4. Average positive outcome is $150, so 0.5 × $150 − 0.25 × $100 = $50. Using 1 − 0.5 as the losing fraction would wrongly count the zero outcome as a loss. Excluding the zero changes the population and gives a different mean, $200/3.

Compare the Original Examples without Predicting an Edge

Each row below is a hypothetical two-outcome sample model with no zeros and the stated realised average gains/losses on one common cost basis. It does not rank real strategies, predict the next trade or establish capital requirements.

A higher cash mean alone does not show lower drawdown, more frequent opportunities or greater scalability. Different sizing, tails, observation periods and costs can change comparisons. Win rate and payoff also need not follow a universal inverse relationship. The selected outcome distribution and dependence between trades matter.

When the Simplified R Formula Applies

For valid recorded initial monetary risk, calculate each realised net R as its cash outcome divided by that trade’s positive original risk. Average those individual R values. With varying risk amounts, this need not equal average cash P/L divided by average initial risk. For example, +$200 on $100 initial risk is +2 R and −$100 on $200 risk is −0.5 R: their mean is +0.75 R. Dividing the $50 average cash result by $150 average risk instead gives one third, a different calculation.

Only in a particular model with every winner at +bR, every loser at −1 R and no zeros does the mean simplify to:

model mean R = p × b − (1 − p)
zero-mean boundary p = 1 / (1 + b)

For b = 0.5, 1, 2 and 3, the respective zero-mean boundaries are approximately 66.67%, 50%, 33.33% and 25%. Equality is break-even on that model’s stated basis; a strictly higher fraction gives a positive model mean. Neither a planned target nor an observed sample establishes that the model will describe future fills.

If every trade also has a separate constant cost cR not already included, the model becomes p × b − (1 − p) − c, with boundary (1 + c) / (1 + b). For b = 2 and c = 0.1, this is 1.1/3, approximately 36.67%. Do not add this cost again when using after-cost outcome averages. Actual variable losses, partial exits and slippage require their actual values rather than the simplified −1 R assumption.

Record Uncertainty and Avoid Invented Benchmarks

A positive sample mean describes the selected past records. It is not proof of a stable future advantage, a passing challenge or independent verification. There is no universal 100-, 200- or 500-trade minimum that automatically establishes statistical significance: uncertainty depends on outcome dispersion, dependence, sample selection and the question being tested. Preserve later out-of-sample observations separately from decisions tuned on earlier data.

Record dates, grouping rules, missing observations and whether a measure is realised, planned or estimated. Do not turn a high target ratio into an instruction to risk a fixed account percentage. A standalone calculator does not enforce orders or current provider rules. Provider objectives and eligibility need their own current selected-product source; a MyVeridex badge does not supply approval.

Current MyVeridex Scope and Calculation Limits

Direct routes currently support MT4 and MT5; other named direct platform integrations are unavailable. Supported MetaTrader statement structures can supply closed transactions, but an arbitrary broker CSV is not automatically compatible. Investor-password access is read-only but the credential remains private account information. A directory listing is not proof that every server was tested.

On the reviewed account-summary recomputation, expectancy is mean reported closed-trade profit in money units; it is not automatically mean initial-risk R or a future forecast. The direct parser’s stored R field is an available-stop price-distance proxy, signed by reported profit. It does not establish that the available stop was the original stop or include separately stored costs in that R field.

Account Detail prefers stored lifetime win rate when available, while some fallback averages use at most 100 loaded closed records and put zero-profit records in the non-positive group. Do not combine fields from different populations or assume every displayed “average loss” excludes break-even records. Reconcile the complete source report before comparing a cash mean or R result. Reconstructed balance is not previously unobserved floating equity, and product verification is not an independent audit.

Current advertised Starter pricing is €14 monthly or €108 annually, equivalent to €9 per month on annual billing, with a seven-day no-card trial. The annual equivalent is not a €9 monthly-billing offer. Check the current advertised plan and final checkout terms. Product and pricing source were reviewed on 16 October 2026; account-calculation limitations remain open.

A Practical Ledger for the Three Measures

1. Save the original plan: direction, entry, initial stop, target, volume and monetary-risk convention.
2. Save actual executed outcomes, their source, currency and separately attributable charges.
3. Define the record population and distinguish positive, negative, zero and missing outcomes.
4. Calculate cash means and valid per-trade R separately; label planned ratios and missing original risk.
5. Reopen saved notes/reports to verify persistence and keep a separate original copy. Compare later observations on the same definitions rather than retroactively selecting only favourable trades.