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Expectancy

Expectancy is what a trade earns on average, winners and losers combined. Positive, the system makes money on every repetition; negative, trading more only speeds up the loss.

What an average trade earns

Share from winners $91.20 Share from losers −$68.20 Expectancy per trade $23 $91.20 − $68.20 = +$23
The green bar is the average win weighted by how often you win, the red one the average loss weighted by how often you lose. Their difference is expectancy: +$23 per trade.

Key takeaways

  • The short version: net P&L divided by the number of trades.
  • The useful version: expressed in R, it stays true when you change position size.
  • The threshold: above zero the system wins, below it loses, whatever the win rate.
  • The sample: under a hundred trades, the figure is an anecdote, not a measurement.

1. What is Expectancy?

Expectancy answers a simple and decisive question: if I take one more trade, what does it earn on average? It reconciles the two figures usually looked at separately, win rate and the size of gains, into a single number that settles the matter.

That is why a system winning three times out of ten can be excellent: if the three winners each make five times what a loser loses, expectancy is clearly positive. And it is why a system winning nine times out of ten can be ruinous, if the tenth trade erases the other nine.

Expressed in currency, it depends on your position size. Expressed in R, that is in multiples of the risk taken, it becomes portable: it stays true if you double your size, change market, or move from a $2,000 account to a funded one.

2. The calculation formula

The basic formula

Expectancy = net P&L ÷ number of trades or (win rate × average win) − (loss rate × average loss)

Both forms give the same result. The second is more telling because it shows the two levers: how often you win, and by how much.

In risk units: Expectancy in R = (win rate × average winning R) − (loss rate × average losing R). An expectancy of 0.3R means each trade earns on average 30% of the risk committed.

Interpreting the result

Expectancy in RWhat it means
negativeEvery trade costs. Trading more deepens the loss; it is not a discipline problem.
0 to 0.1RThe system barely survives its fees. A rise in commissions tips it over.
0.1 to 0.3RThe usual order of magnitude for a system that works and holds up over time.
above 0.5RRare on a real sample. First check the figure does not rest on a single trade.

Expectancy is the only figure that tells you what more volume will earn, provided nothing else changes. If it is positive and stable, more trades means more result. If it is negative, the opposite holds, and no amount of discipline will flip the sign.

Read it per setup rather than globally. That is where you find one configuration carrying the whole result while another eats it, and it is the most actionable information a journal can produce: dropping a single setup is sometimes enough to move an account from red to green.

A worked example

  • Over 100 trades: 38 winners, 62 losers.
  • Average win: $240. Average loss: $110.
  • Winner share: 0.38. Loser share: 0.62.
  • Expectancy = (0.38 × 240) − (0.62 × 110) = 91.20 − 68.20.

Expectancy = +$23 per trade. With a 38% win rate, so losing almost two times out of three, this system makes $2,300 over 100 trades.

3. What it is used for

Knowing what more volume will earn

Expectancy is the only statistic you can multiply by a number of trades. At +$23 per trade, a hundred more trades earn about $2,300, provided method and size do not change.

The reverse is just as true and far more important: with negative expectancy, every extra trade deepens the loss, and trading more to win it back is exactly the wrong decision.

Sorting the setups worth keeping

Computed per setup, expectancy points at what to keep. One configuration at +0.4R and another at −0.1R can together give a mediocre global expectancy that describes neither.

Dropping the second raises the result without learning anything new, and it is often the fastest improvement a journal allows.

4. Why the generic calculation misleads

The first flaw is reading it in currency across different sizes. Doubling size doubles expectancy in currency without any skill having moved, and the figure announces progress that does not exist.

The second is the sample that is too short. Over thirty trades, a single unusual result can flip its sign, and expectancy then mostly measures the luck of the period.

The third is expectancy carried by a single trade. The average does not say where it comes from: recomputed without the biggest winner, a positive expectancy sometimes drops below zero.

5. Advantages and limitations

Advantages

  1. It combines how often and how much you win into one number, where win rate looks at only one.
  2. It multiplies by the number of trades, so it is the only one that estimates what an activity will earn.
  3. Expressed in R, it survives changes of size, market and account.

Limitations

  1. It is an average, so it smooths everything. An expectancy of +$23 does not mean you will make $23 on the next trade: you will lose $110 six times out of ten. That exact gap between the average and the lived experience is what makes people abandon systems that work.
  2. It assumes the distribution does not change. If your market changes regime, the expectancy measured yesterday no longer describes tomorrow, and nothing in the figure warns you.
  3. Over thirty trades, one large winner can flip it from red to green. It takes around a hundred observations before it stops being an anecdote, and several hundred before you can size risk on it.

The classic mistake. Computing it across periods where your position size changed. In currency, doubling size doubles expectancy without any skill having moved. That is why it is read in R as soon as sizing has not stayed constant.

6. Comparison with related indicators

IndicatorFormulaWhat it measuresWhen to use it
Expectancynet P&L ÷ number of tradesWhat an average trade earnsEstimating what more volume will earn
Profit factorΣ gains ÷ |Σ losses|What you earn per $1 lostJudging a whole system
Win ratewinners ÷ totalHow often you winUnderstanding the psychological comfort
R-multipleresult ÷ risk takenThe result in units of riskComparing trades of different sizes

The differences that matter

  1. Expectancy and profit factor describe the same reality from two angles. The second is a unitless ratio, the first an average per trade, and only the first multiplies by volume.
  2. Expectancy in currency and expectancy in R serve at different moments. The first says what your account made, the second what your method is worth, whatever the size.
  3. Positive expectancy does not require a high win rate. This page's example makes $23 per trade while losing six times out of ten, because its winners are worth more than twice its losers.

7. How to improve it

1. Switch to R as soon as your size has varied

In currency, expectancy follows your position size. In R, it follows your method, and it is the only version that compares month to month when sizing has not stayed constant.

2. Compute it per setup before changing anything

A mediocre global expectancy almost always hides one profitable configuration and another eating it. Cutting the second is faster than improving the first.

3. Cut the average loss before chasing a bigger average win

Average loss depends on your stops, so on you. Bringing an average loss that is too wide back to your planned risk raises expectancy without touching a single entry.

8. Frequently asked questions

What is the difference between expectancy and profit factor?

Expectancy is an average per trade, in currency or in R, so it says what one repetition earns. Profit factor is a ratio of total gains to total losses, so it says what you earn per dollar lost. Both say the same thing differently, but expectancy is the only one you can multiply by the number of trades.

How many trades before expectancy is reliable?

Around a hundred before it stops being an anecdote, several hundred before you size risk on it. Below fifty, a single trade can flip the sign, which means the figure is mostly measuring chance.

Does positive expectancy guarantee a profit?

No, it only guarantees that repetition is on your side. Over a short run, positive expectancy can still produce a loss, and that is normal. What it guarantees is that with enough repetitions, and a risk that does not blow the account first, the result converges upward.

How do I improve my expectancy?

Through the two levers in the formula, never through willpower. Either you raise the average win, by letting winners run and setting targets on what the market actually offers, or you cut the average loss, by holding your stops. The second lever is almost always the faster one.

Expectancy in currency or in R: which one to watch?

Both, for two different questions. In currency, it says what your account actually made per trade. In R, it says what your method is worth regardless of size, and it is the only one that compares month to month when your sizing has changed.

9. In Tradoshi

In Tradoshi, Expectancy is shown in currency: net P&L divided by the number of trades, fees included. It has its own card on the Dashboard, marked "per trade", a line in the Track record, and a place in the Reports screen, where you will also find "Average P&L per trade". It is the same number under two labels.

The R version sits alongside: Average realized R in Reports, and the Average R (SL) card on the Dashboard, computed on trades with a recorded stop. Sorting by tag, symbol, entry hour or market session happens in Reports, and that is where expectancy per setup is read.

10. In summary

  1. Expectancy is what an average trade earns: net P&L divided by the number of trades, or win rate × average win − loss rate × average loss.
  2. Positive, trading more earns more; negative, trading more deepens the loss, whatever the win rate.
  3. It is read in R as soon as size has varied, and over a hundred trades at the very least.

To go deeper on this: read the full guide. Every term is gathered in the glossary.

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