Sortino Ratio Calculator
Measure return per unit of downside risk only. Unlike the Sharpe ratio, the Sortino ratio ignores upside volatility — it penalises only the losses that investors actually feel. Enter a series of returns and the calculator computes the downside deviation, the Sortino ratio, and the Sharpe for comparison.
SAMPLE SERIES
PERIOD SETTINGS
Each bar is one period's return. Green bars are above the minimum acceptable return; red bars are below it — these are the only ones that contribute to the downside deviation. The dashed line marks the MAR. A strategy with many large green bars and few small red bars will have a high Sortino.
The Sortino ratio measures excess return per unit of downside risk. Where the Sharpe ratio divides by total volatility — treating a big gain the same as a big loss — the Sortino ratio divides only by the volatility of returns below a minimum acceptable return. This matters because investors do not experience upside volatility as risk. A fund that swings 20% up and 5% down is not the same as one that swings 12.5% either way, even though both have similar total volatility. The Sortino ratio captures that difference.
Only losses count
The denominator is the downside deviation — the root-mean-square of returns below the MAR. Positive returns, however large, contribute zero. This is the fundamental difference from Sharpe: a strategy with explosive upside and contained downside gets rewarded rather than penalised for its positive volatility.
The MAR sets the bar
The minimum acceptable return defines what counts as "downside". With MAR = 0, only actual losses count. With MAR = risk-free rate, any return below the risk-free rate is a shortfall relative to the alternative. With MAR = 8%, anything below your target return is treated as a shortfall. Choose the MAR that reflects what you are actually trying to beat.
Higher is better, but no universal threshold
There is no fixed "good" Sortino number — the value is only meaningful relative to other strategies or to the same strategy over time. As rough guidance: below 1 is weak, 1–2 is acceptable, 2–3 is good, above 3 is excellent. But a hedge fund and a bond fund operate at completely different Sortino scales, so compare like with like.
Downside deviation is not the same as max drawdown
A strategy can have a small downside deviation but a large drawdown, or vice versa. Downside deviation measures the frequency and magnitude of shortfalls against the MAR — it is a moment of the return distribution. Max drawdown measures the worst peak-to-trough loss and depends on the ordering of returns. A strategy that always loses a little will have low downside deviation but may draw down a lot over a long stretch. Read the two together.
Sortino vs Sharpe — a side-by-side comparison
| Feature | Sharpe ratio | Sortino ratio |
|---|---|---|
| Numerator | Rp − Rf | Rp − MAR |
| Denominator | Total standard deviation σ | Downside deviation σd |
| Upside volatility | Penalised as risk | Ignored |
| Downside volatility | Penalised as risk | Penalised as risk |
| Typical value | 0.5 – 2 | 1 – 3 |
| Best used for | Symmetric return distributions | Skewed or asymmetric strategies |
| Institutional reporting | Universally reported | Preferred by hedge funds and trend followers |
Sortino value interpretation
| Sortino range | Interpretation | What it usually means |
|---|---|---|
| Below 0 | Loss-making | Return is below the MAR — the strategy lost money in real terms |
| 0 – 1 | Weak | Returns barely exceed the MAR relative to the downside risk taken |
| 1 – 2 | Acceptable | Reasonable risk-adjusted performance for most conventional portfolios |
| 2 – 3 | Good | Strong risk-adjusted performance — typical of skilled managers |
| 3 – 5 | Excellent | Very high return per unit of downside risk |
| Above 5 | Exceptional | Rare — check for short sample or lucky period before trusting it |
Worked example
1.2, −0.8, 2.1, 0.5, −1.4, 1.8, 0.9, −0.3, 1.5, 2.3, −0.6, 1.1
Step 1 — mean return per period
Sum = 8.3 → Mean = 8.3 / 12 = 0.6917% per month
Step 2 — identify shortfalls below MAR (0.3333%)
−0.8 − 0.3333 = −1.1333 → squared = 1.2844
−1.4 − 0.3333 = −1.7333 → squared = 3.0044
−0.3 − 0.3333 = −0.6333 → squared = 0.4011
−0.6 − 0.3333 = −0.9333 → squared = 0.8711
Sum of squares = 5.5611
Step 3 — downside deviation
σd = √( 5.5611 / 12 ) = √0.4634 = 0.6808% per month
Step 4 — Sortino ratio
Period Sortino = ( 0.6917 − 0.3333 ) / 0.6808 = 0.5265
Annualised = 0.5265 × √12 = 1.824
Frequently asked questions
The difference is entirely in the denominator. The Sharpe ratio divides excess return by the total standard deviation of returns — both upside and downside. The Sortino ratio divides excess return by the downside deviation only — the volatility of returns below a minimum acceptable return. This means the Sortino ratio does not penalise a strategy for having large positive returns, whereas the Sharpe ratio does. For strategies with symmetric return distributions (like a typical long-only equity fund), the two ratios rank strategies almost identically. For asymmetric strategies — trend followers, options sellers, hedge funds with convexity — the Sortino ratio is a much better reflection of what investors actually experience.
There is no universal threshold because the value depends on the asset class and the MAR. As a rough guide for a conventional portfolio with a reasonable MAR: below 1 is weak, 1–2 is acceptable, 2–3 is good, and above 3 is excellent. But a market-neutral fund targeting a 3% return above cash might legitimately have a Sortino of 5, while a high-volatility growth equity fund might have a Sortino of 1.5 and still be considered successful. The ratio is most useful for comparing strategies that share a similar mandate and MAR — not for comparing across wildly different asset classes.
The original Sortino and Price (1994) formulation divides by n — the total number of observations, not just the negative ones. This is the definition used by most institutional reporting and the one this calculator uses. Some practitioners use n−1 as a sample-size correction analogous to the standard deviation formula for a sample, which produces a slightly larger downside deviation and therefore a slightly lower Sortino ratio. Neither is wrong; they are two different conventions. What matters is consistency — if you compare two strategies, make sure both were computed the same way. The difference is negligible for large samples and only material for series with fewer than about 20 observations.
The standard choice is the risk-free rate, because that is the return you could earn with no risk at all — anything below it is a genuine shortfall. But the MAR should reflect what the strategy is actually trying to beat. If you are managing a pension fund with an 8% actuarial target, MAR = 8% is the right threshold; anything below 8% is a shortfall against your objective, even if it is positive in absolute terms. If you only care about not losing money, MAR = 0. Some practitioners use a moving MAR, such as the risk-free rate over the same period. Whatever you choose, apply it consistently — a different MAR can change the Sortino ratio substantially.
Because your return distribution is skewed. If your strategy has large positive outliers and small negative returns — a classic trend-following profile — then total volatility is inflated by the big gains, and the Sharpe ratio makes the strategy look riskier than it feels. The Sortino ratio, using only the downside, gives a higher and more intuitive number. Conversely, a strategy that sells options has small frequent gains and occasional large losses: total volatility may be modest, but downside deviation is large, so the Sortino ratio will be lower than the Sharpe ratio. The direction of the discrepancy tells you something important about the shape of your returns.
Yes. If the mean return is below the MAR — that is, if on average the strategy failed to clear its target — the numerator is negative. The denominator (downside deviation) is always positive, so the ratio is negative. A negative Sortino means the strategy did not achieve its minimum acceptable return over the sample period. This is not the same as a loss in absolute terms: a strategy with a 3% return and an 8% MAR has a negative Sortino because it fell short of the 8% target, even though it made money. The interpretation depends on what the MAR represents.
Yes — annualising makes ratios comparable across return frequencies. The standard method is to multiply the period Sortino ratio by the square root of the number of periods per year (√12 for monthly, √252 for daily). This assumes returns are independent over time, which is approximately true for liquid markets over short horizons. Note that the annualisation applies to the ratio itself, not to the numerator and denominator separately — a common mistake is to annualise the return and the downside deviation separately and then divide, which produces a different (and usually wrong) number. This calculator shows both the period ratio and the annualised version.
At least 24 months for a portfolio, ideally 36–60. The downside deviation is estimated from only the negative observations, so a sample with few losses gives an unstable estimate. With 12 monthly returns, a single outlier month can swing the ratio by 50% or more. With 36 months, the estimate is meaningfully more stable. For daily trading strategies, 250 daily observations (roughly one year) is often considered the practical minimum, but ideally 500–1,000. And beware of short backtests: a strategy that has only ever been tested over a bull market will have a very high Sortino that is unlikely to persist through a drawdown.
How to Use This Calculator
Paste your return series, choose the frequency, and the calculator computes the downside deviation, the Sortino ratio, and the Sharpe ratio for comparison.
1. Load a sample or paste your own returns
The presets give you four illustrative 12-month series plus a 36-month series, so you can see how the ratio behaves with different return profiles. Click "Custom" to enter your own data.
2. Enter returns separated by commas
Use any consistent separator — commas, spaces, semicolons, or new lines. Positive numbers for gains, negative for losses. Do not include the % sign — the calculator assumes the values are already in percent.
3. Choose the return frequency
Daily (252/yr), weekly (52/yr), monthly (12/yr), quarterly (4/yr), or annual (1/yr). This determines the annualisation factor. Monthly is the most common for portfolio analysis.
4. Set the risk-free rate and MAR
Enter the annual risk-free rate — typically the 3-month Treasury yield. The MAR defaults to the risk-free rate per period, but you can override it to zero or to a custom target like 8% if you are measuring against a specific return objective.
5. Read the result and the return chart
The result card shows the annualised Sortino ratio, the mean return, the downside deviation, and the annualised Sharpe for comparison. The bar chart below shows every return, coloured by whether it was above or below the MAR — the red bars are the only ones that feed into the downside deviation.
6. Compare against the Sharpe ratio
If Sortino is substantially higher than Sharpe, your return distribution is skewed to the upside. If it is substantially lower, your losses are larger or more frequent than a symmetric distribution would suggest. That comparison is often more informative than either ratio alone.
What This Tool Offers
Everything you need to evaluate a return series on a downside-risk basis and compare it against a conventional Sharpe analysis.
Sortino and Sharpe side by side
The result card shows both ratios plus the mean return and downside deviation, so you can see exactly how the two measures diverge on your data.
Return series chart
Every return in the series is plotted, with upside in green and downside in red against the MAR threshold. The visual makes it obvious which periods are driving the ratio.
Flexible MAR
Set the minimum acceptable return to the risk-free rate, to zero, or to any custom target. Different MARs change what counts as a shortfall and therefore change the ratio.
Step-by-step working
Every calculation shown line by line — the mean return, each squared shortfall, the sum of squares, the downside deviation, and the final ratio.
Full distribution stats
Win rate, average win, average loss, profit factor, total standard deviation, max drawdown, best and worst period, and the number of returns in the sample.
Reference and education
A Sortino vs Sharpe comparison table, interpretation guidance by value range, a worked example with all the arithmetic, and answers to the practical questions that come up in real use.
What Does the Sortino Ratio Measure?
The Sortino ratio measures how much excess return a strategy delivers per unit of downside risk. It was introduced by Frank Sortino and Lee Price in 1994 as a refinement of the Sharpe ratio, motivated by a simple observation: investors do not experience upside volatility as risk. A strategy that gains 30% in one month and loses 3% the next is not the same as one that gains 3% and loses 3%, even though both have similar total volatility. The Sharpe ratio treats them as equivalent; the Sortino ratio does not.
The Formula
The core relation:
Where the downside deviation σd is defined against a minimum acceptable return (MAR):
Note the two important features of that definition. First, the min(0, …) operator means that positive deviations from MAR contribute nothing — only shortfalls are squared. Second, the divisor is n, the total number of observations, not the number of negative ones. This matches the original Sortino & Price formulation and produces the value used in most institutional reporting.
The annualised Sortino is obtained by multiplying the period ratio by √(periods per year):
And the Sharpe ratio, for comparison, uses total standard deviation instead:
Why Downside Deviation Matters
The central insight of the Sortino ratio is that not all volatility is equal. When a strategy's returns are symmetric — as they roughly are for a broad equity index over long periods — the two ratios tell almost the same story, and Sharpe is preferred because it is simpler and more widely reported. But many real strategies have asymmetric return distributions, and for these the Sharpe ratio can be actively misleading.
Consider a trend-following managed futures fund. It wins on a minority of trades but the winners run far, producing occasional months of +15% against many months of −1%. Total volatility is high because of the large positive outliers, so the Sharpe ratio is dragged down. But the downside is small and consistent, and that is what the investor actually experiences. The Sortino ratio, which ignores the +15% months in the denominator, gives a much higher and more representative number. Conversely, an options-selling strategy produces steady small gains punctuated by rare large losses. Total volatility may look modest, but the downside deviation is large, and the Sortino ratio correctly reveals the risk that Sharpe hides.
Choosing the Minimum Acceptable Return
The MAR is the threshold below which a return is considered a shortfall. Three choices cover most real applications. Using the risk-free rate is the standard and matches the Sharpe ratio's numerator — any return below what you could have earned in Treasury bills is a genuine shortfall relative to the alternative. Using zero focuses on absolute losses only and is appropriate when the question is simply "did I lose money?" Using a custom target, such as 8% for a pension fund with an actuarial liability or 4% for an endowment with a spending rule, aligns the ratio with the actual objective the portfolio is trying to beat.
It is important to be consistent. A different MAR changes what counts as a shortfall and therefore changes the denominator — sometimes dramatically. If a strategy has many small positive returns and a MAR of 0%, those returns do not contribute to downside deviation. If the MAR is raised to 8% annualised, many of them become shortfalls and the downside deviation rises substantially, lowering the Sortino ratio. Two funds can be ranked in different orders depending on the MAR chosen, so always check that the comparison uses the same threshold.
Sortino in Practice
For a conventional long-only portfolio with symmetric returns, expect Sortino to be slightly higher than Sharpe — usually by 20–40% — because removing the upside from the denominator reduces it. A typical equity portfolio with a Sharpe of 0.7 might have a Sortino of 0.9–1.0. A well-managed balanced fund with a Sharpe of 1.0 might show a Sortino of 1.3–1.5. When the two ratios diverge by more than a factor of two, that is a strong signal that the return distribution is significantly skewed, and the direction of the skew tells you something important about the strategy.
Two cautions apply. First, the Sortino ratio is much more sensitive to sample length than Sharpe, because the downside deviation is estimated from only the negative observations. A 12-month series can produce a wildly different Sortino depending on which month is included; a 60-month series is far more stable. Second, the ratio says nothing about the magnitude of returns — a strategy with a Sortino of 3 and a 2% annual return is not better than one with a Sortino of 1.5 and a 12% annual return; it is just more efficient per unit of downside risk. Always read the Sortino alongside the absolute return, the maximum drawdown, and the return series itself.
Frequently Asked Questions
The FAQ section above covers the most common practical questions — the difference from Sharpe, choosing a good threshold, n vs n−1, selecting a MAR, skew, negative values, annualisation, and how many data points you need. Scroll back to the analysis card if you skipped it.
Variables
| Symbol | Quantity | Unit |
|---|---|---|
| Sortino | Sortino ratio | |
| Rp | Portfolio return | |
| Rf | Risk-free rate | |
| σd | Downside deviation |
What it means
The Sortino ratio is a variation of the Sharpe ratio that only penalises downside volatility (negative returns). It provides a more accurate measure of risk for investors who are concerned about losses. This is used to evaluate strategies that aim to limit downside. Understanding the Sortino ratio helps in assessing the true risk of an investment, especially in volatile markets like crypto.
Worked example
Sortino Ratio – Two Detailed Examples
Real‑World| Parameter | Value |
|---|---|
| Portfolio Return | 45% |
| Risk‑Free Rate | 4% |
| Downside Deviation | 35% |
| Parameter | Value |
|---|---|
| Return | 80% |
| Risk‑Free | 4% |
| Downside Deviation | 50% |
Common mistakes
- Sortino ratio: Similar to Sharpe but uses downside deviation.
- σd: Downside deviation (standard deviation of negative returns only).
- Focuses on downside risk: Penalises only bad volatility.
- Higher is better: Better risk‑adjusted return with downside focus.
Applications
Sortino Ratio is similar to the Sharpe ratio but uses downside deviation (only negative returns) instead of total standard deviation. This focuses on the risk of losses, which is more relevant for investors concerned about downside. A higher Sortino ratio indicates better performance relative to downside risk. Investors use it to evaluate strategies that aim to limit losses. Understanding Sortino helps in selecting investments with favourable risk profiles.
- Evaluating downside risk in portfolio performance
- Comparing strategies with asymmetric risk preferences
- Assessing the risk of large drawdowns
- Focusing on the probability of losses
- Educational understanding of downside risk metrics
Related calculators · Technical & Market Analysis
Recently updated formulas
Suggest an improvement
Found a mistake? Have a better example? Let us know.
You may send up to 3 suggestions per 24 hours.