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How to Calculate the Expectancy of a Trading Strategy

Expectancy is the average amount you can expect to make or lose per trade, combining your win rate with the size of your average win and loss. The formula is: (win rate times average win) minus (loss rate times average loss). A positive expectancy means the strategy makes money on average over many trades; a negative one means it bleeds money no matter how good it feels.

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TRION Research
Reviewed by TRION Research
7 min read
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Key Takeaways
  • 01 Expectancy is the average profit or loss per trade: (win rate times average win) minus (loss rate times average loss).
  • 02 A positive expectancy means a strategy makes money on average over many trades; negative means it loses money no matter how it feels.
  • 03 A low win rate can have strong positive expectancy if wins are larger than losses; a high win rate can be negative if losses are larger.
  • 04 Expectancy is sensitive to costs and needs a large sample fees and slippage can turn a small positive expectancy negative.
  • 05 TRION is a paper-only research and validation workstation, not a live trading bot and not investment advice.

In-depth analysis

If you could keep only one number to judge a trading strategy, expectancy would be a strong candidate. Win rate flatters you, total return hides the path, and individual trades are noise. Expectancy cuts through all of it by answering the one question that actually matters over the long run: on average, what is each trade worth? It combines how often you win with how much you win and lose into a single honest figure.

The expectancy formula

Expectancy per trade is calculated as: (win rate times average win) minus (loss rate times average loss). Win rate is the share of trades that profit; loss rate is simply one minus that. Average win is the typical size of your winning trades; average loss the typical size of your losers. The result is the average profit (or loss) you can expect from each trade, in dollars or in percentage terms.

A positive number means the strategy has a mathematical edge over many trades. Zero means break-even. Negative means that, however exciting individual trades feel, the strategy loses money on average and more trading only loses it faster.

A worked example

Suppose a strategy wins 40% of its trades, with an average win of $300 and an average loss of $120. Win rate is 0.40, loss rate is 0.60. Expectancy is (0.40 times $300) minus (0.60 times $120), which is $120 minus $72, or $48 per trade. Despite winning less than half the time, this strategy expects to make about $48 every time it trades a clear positive edge driven by winners that are larger than losers.

Now flip it. A strategy wins 80% of the time but averages $50 on winners and $300 on losers. Expectancy is (0.80 times $50) minus (0.20 times $300), which is $40 minus $60, or negative $20 per trade. An 80% win rate that loses money the exact trap that chasing win rate sets, made obvious by the math.

Why expectancy is the honest number

Expectancy refuses to be fooled by any single comforting statistic. It exposes the high-win-rate strategy that quietly loses, and it vindicates the low-win-rate strategy that quietly wins. It is the closest thing trading has to a bottom line per trade. This is also why it is the metric most worth protecting from dishonesty if costs are ignored, expectancy is inflated; fees and slippage shrink average wins and enlarge average losses, often turning a small positive expectancy negative.

The limits are the usual ones, and they are non-negotiable. Expectancy is calculated from historical trades, so it is only an estimate of the future, and past performance does not predict future results. It needs a large sample to mean anything an expectancy of $48 over fifteen trades is noise. And it assumes the future resembles the tested past, which markets do not guarantee.

How to use expectancy well

Calculate expectancy on a backtest that includes realistic costs, over many trades, and then confirm it survives on data the strategy was never tuned on. A positive expectancy that holds out-of-sample is one of the more credible signs a strategy is worth carefully paper trading. A negative one is a clear, money-saving signal to stop, no matter how good the idea felt.

Pair expectancy with how often the strategy trades to understand its potential over time, but never let frequency tempt you into trading a negative-expectancy system faster. The whole value of the number is its honesty: it tells you, in one figure, whether the math is on your side before any real money is involved.

What TRION adds

TRION computes expectancy from backtests on real stored historical data with realistic costs, over a meaningful number of trades, so a comforting win rate cannot hide a losing system. When it cannot be computed honestly, TRION shows N/A.

TRION does not place real orders or promise profit. Its job is to tell you, in one honest number, whether the math is on your side before any real money is involved.

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Frequently asked questions

How do I calculate expectancy?

Use (win rate times average win) minus (loss rate times average loss). For example, a 40% win rate with a $300 average win and a $120 average loss gives (0.40 x 300) - (0.60 x 120) = $48 expected per trade. A positive result means a mathematical edge over many trades.

Can a strategy have a high win rate and negative expectancy?

Yes, and it is common. If your rare losses are much larger than your frequent wins, expectancy can be negative even at an 80% win rate. That is exactly why expectancy is more honest than win rate alone.

Can I calculate expectancy without risking real money?

Yes. Expectancy is derived from a strategy's trade history, which you can produce from a backtest or paper-trading run with no real capital. That is the right place to check whether the math is on your side.

How does TRION help with expectancy?

TRION computes expectancy from backtests on real stored historical data with realistic costs included, and shows it over a meaningful number of trades. When the figure cannot be computed honestly, TRION shows N/A instead of inventing one.

Sources & References

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TRION is a simulation-only, paper-only research and validation workstation. It is not a broker, exchange, investment adviser, or live trading system, and it does not provide investment, financial, legal, or tax advice. Trading and investing involve substantial risk of loss. Backtests and simulations are based on historical data and assumptions and are not guarantees of future results. Reviewed by TRION Research.

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