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Sharpe ratio

The Sharpe ratio relates the mean of your results to their irregularity, measured by standard deviation. It does not say how much you earn, it says how steadily you earn it, and that is a question neither P&L nor profit factor asks.

The mean, and the spread around it

mean 1.12 % one standard deviation band 1.12 ÷ 1.99 = 0.56 mean ÷ standard deviation: that is the whole formula
The same bars, tighter around the blue line, would give a higher ratio without earning a penny more. What is measured here is steadiness, not performance.

Key takeaways

  • The formula: mean of the results ÷ standard deviation of the results, over the same reference period.
  • What it measures: steadiness, not performance. Two systems with the same return can have opposite Sharpe ratios.
  • The journals' convention: computed on daily results and not annualised, as at FTMO and MetaStats.
  • Its known bias: it penalises good surprises as much as bad ones, because it only looks at a deviation.
  • Its fragility: under sixty trading days, the figure means nothing.

1. What is Sharpe ratio?

The Sharpe ratio comes from portfolio management, where it serves to compare funds. The idea is that a return cannot be judged alone: making 12% a year calmly and making 12% a year through brutal falls are not the same performance, even if the final figure is identical.

It is computed by dividing the mean of your results by their standard deviation, that is by the measure of their spread around that mean. The more your results resemble each other from one period to the next, the smaller the standard deviation, and the higher the ratio. At equal gain, steadiness pays.

In trading journals it is almost always computed on daily results and left non-annualised, which is the FTMO and MetaStats convention. The academic version additionally subtracts a risk-free rate and multiplies by the square root of the number of periods; both versions carry the same name and do not give the same number, which makes comparing a Sharpe ratio across tools impossible without checking the definition.

2. The calculation formula

The basic formula

Sharpe ratio = mean of the results ÷ standard deviation of the results

The reference period has to be the same for both terms: daily results give a daily Sharpe, monthly results a monthly one. These are not the same numbers.

The annualised version multiplies the result by the square root of the number of periods in a year, about 15.9 for trading days. That is why the same account shows 0.12 here and 1.9 elsewhere.

The academic version subtracts a risk-free rate from the numerator. Trading journals do not, and the difference becomes significant when rates rise.

Interpreting the result

Annualised Sharpe ratioWhat it describes
below 0The mean result is negative. The rest of the calculation has no object.
0 to 1Irregular results. Most discretionary traders sit here.
1 to 2Solid steadiness. This is already the domain of well-run systems.
2 to 3Very steady, rare, and generally obtained over many short trades.
above 3Almost always too short a track record, or a calculation that is not the one you think.

Before reading this table, you need to know which version of the calculation is displayed. The thresholds above apply to an annualised Sharpe, the one from financial literature. A trading journal showing a non-annualised daily Sharpe will give 0.09 where the same account is worth 1.4 annualised, and comparing the two makes no sense. That is the first thing to check, before even looking at the value.

The second point is that this ratio penalises volatility in both directions. A very good month moves your results away from their mean exactly as a bad one does, so it lowers the figure. That is logical for a fund manager selling predictability, and debatable for a trader whose job is precisely to catch exceptional moves.

A worked example

  • Twelve months of results, as a percentage of capital.
  • +2.1 · −0.8 · +3.4 · +1.2 · −1.9 · +4.0 · +0.6 · +2.8 · −0.4 · +1.5 · +3.1 · −2.2.
  • Mean = +1.12% per month.
  • Standard deviation = 1.99 points.
  • Monthly Sharpe = 1.12 ÷ 1.99.

The ratio is 0.56 over those twelve months. The point to see is this: the +4.0% month lowers the ratio, because it deviates from the mean as much as a bad month does. The Sharpe ratio does not tell pleasant surprises from unpleasant ones, and that is its best-known flaw.

3. What it is used for

Comparing two methods with the same return

This is the use the ratio was invented for, and it remains the right one. When two systems return the same over the year, the one with the higher Sharpe got there more calmly, so it is easier to hold and easier to fund.

That comparison only makes sense if both figures come from the same definition and the same reference period. A Sharpe read on a prop firm report and one read in a journal almost never compare directly.

Spotting steadiness that rests on one hit

A mediocre Sharpe despite a good return signals that the result rests on few periods. It is the same information as the check consisting of removing your biggest winner from profit factor, obtained another way, and it is worth seeing before drawing conclusions.

The defensive use is the most useful for a retail trader: the ratio serves less to congratulate yourself than to spot that a performance rests on too little.

4. Why the generic calculation misleads

The most discussed flaw is the symmetry of volatility. Standard deviation treats a +4% month and a −4% month exactly alike, because it only measures a distance from the mean. A trader who catches a big move therefore sees their ratio fall for having done well, and it is to answer that that other ratios exist which count only downside deviations.

The second is confusion between versions. Daily or annualised, with or without a risk-free rate, computed on trades or on days: the same account can show 0.09, 0.56 or 1.4 depending on the convention. Almost no tool writes down which one it applies, and comparing two figures without knowing compares nothing at all.

The third is the sample. Under sixty trading days or so, standard deviation is itself very unstable, so the ratio is too. A Sharpe computed over six weeks halves with two unusual days, which makes it a figure not to look at rather than one to interpret cautiously.

5. Advantages and limitations

Advantages

  1. It measures something nothing else measures in a journal: steadiness, independent of the amount earned.
  2. It is universal. Coming from portfolio management, it lets a trading account be placed against any other investment.
  3. It spots performances resting on few periods, which makes it a good robustness check, alongside profit factor.

Limitations

  1. It penalises good months. An exceptional gain raises the standard deviation and lowers the ratio, which is counter-intuitive for a trader.
  2. Versions do not compare. Daily, annualised, with or without a risk-free rate: same name, three different numbers.
  3. It requires a long history. Under sixty days, the standard deviation itself is unstable and the ratio means nothing.

The classic mistake. Comparing one Sharpe ratio with another without checking the convention. The same account shows 0.09 daily non-annualised and 1.4 annualised, and almost no tool writes down which of the two it displays. The more flattering figure is often simply the one multiplied by the square root of the number of days.

6. Comparison with related indicators

IndicatorFormulaWhat it measuresWhen to use it
Sharpe ratiomean ÷ standard deviation of resultsSteadiness, in both directionsComparing two methods at equal return
Maximum drawdown(peak − trough) ÷ peakThe worst decline lived throughSizing positions
Recovery factornet P&L ÷ maximum drawdownGain per unit of decline enduredComparing two systems at equal risk
Profit factorΣ gains ÷ |Σ losses|What you earn per $1 lostJudging a whole system, or one setup

The differences that matter

  1. Sharpe measures spread, drawdown measures depth. A system can be very steady and suffer one brutal fall: the first figure will be good, the second bad, and both will be right.
  2. Sharpe is the only one of the four to punish good surprises. Profit factor, recovery factor and drawdown do not care whether your gains are regular; that is precisely the gap Sharpe fills, with the bias that implies.
  3. None of the four speaks of frequency. An excellent Sharpe over ten trading days a year produces no income, and you will always have to multiply by the number of opportunities to know what it is worth.

7. How to improve it

1. First check which version you are looking at

Daily or annualised, with or without a risk-free rate: until you know, the figure compares to nothing and published thresholds do not apply. It is the one step to take before all the others, and it takes as long as reading a footnote.

2. Reduce size on the most volatile configurations

The ratio rises when spread falls. Taking smaller positions on the setups with the most scattered results tightens the curve without removing anything from the method, and it is the most direct lever on this particular figure.

3. Do not look at it before sixty days

Below that order of magnitude, standard deviation moves so much that the ratio does not inform: it adds noise. Many traders adjust their method on a Sharpe computed over six weeks, that is on a number that did not yet mean anything.

8. Frequently asked questions

What is the Sharpe ratio?

It is the mean of your results divided by their standard deviation. It measures the steadiness of a performance rather than its size: at equal gain, the system whose results resemble each other most from one period to the next gets the higher ratio.

What is a good Sharpe ratio?

On an annualised basis, between 1 and 2 describes solid steadiness, and above 3 you should suspect too short a track record. Careful: those thresholds only hold for the annualised version. A journal showing a non-annualised daily Sharpe will give values fifteen times smaller for exactly the same performance.

How do you calculate the Sharpe ratio?

Take the series of your results over a fixed period, daily or monthly, compute their mean, compute their standard deviation, and divide the first by the second. To annualise, multiply by the square root of the number of periods in a year, about 15.9 for trading days.

Why does a very good month lower my Sharpe ratio?

Because standard deviation measures a distance from the mean without caring about direction. A +4% month deviates from your mean as much as a −4% one, so it raises the spread and lowers the ratio. It is the most common criticism of this measure, and it is well founded for a trader whose job is to catch exceptional moves.

How much data does the Sharpe ratio need?

Sixty trading days or so is a minimum, and that is still few. Below that, standard deviation is itself very unstable: two unusual days can move the ratio by half. On a short history it is better not to look at it than to look at it cautiously.

9. In Tradoshi

Tradoshi computes the Sharpe ratio on your daily results and does not annualise it, which is the convention adopted by FTMO and MetaStats. That is important to know before comparing: the usual thresholds from financial literature, the ones talking about 1 or 2, describe an annualised Sharpe and therefore do not apply directly to the figure displayed.

It appears in the Reports screen, next to maximum drawdown and recovery factor, and the neighbourhood is the point: Sharpe describes spread, drawdown describes depth, and reading one without the other always leaves half the story out.

10. In summary

  1. The Sharpe ratio is the mean of your results divided by their standard deviation. It measures steadiness, never the amount earned.
  2. It punishes good months as much as bad ones, because a deviation from the mean is a deviation, whichever way it goes.
  3. The daily and annualised versions carry the same name and give unrelated numbers. Knowing which one is displayed comes before any interpretation.

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

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