Sharpe Ratio
A risk-adjusted return measure — annualized excess return over the risk-free rate, divided by annualized volatility — showing return earned per unit of risk.
Definition
The Sharpe ratio measures return earned per unit of risk taken, by dividing a fund's annualized excess return (return above a risk-free benchmark) by its annualized volatility (the standard deviation of its returns). A Sharpe of 1.0 means the fund earned one percentage point of excess return for every percentage point of volatility it carried; a Sharpe of 2.0 means it earned that excess return with half the volatility, and is generally read as a stronger risk-adjusted result.
The ratio deliberately treats upside and downside volatility identically — a fund with occasional large positive surprises is penalized by the Sharpe ratio's volatility term exactly as much as one with equally large negative surprises, because standard deviation does not distinguish direction. This is the standard critique of the Sharpe ratio and the reason a related measure, the Sortino ratio, substitutes downside deviation (volatility from returns below a target, usually zero or the risk-free rate) in the denominator instead, so only harmful volatility is penalized.
Sharpe is most meaningful when comparing funds or strategies with a similar return profile and a reasonably long track record — a handful of return observations can produce a Sharpe ratio that looks striking but is statistically unreliable, which is why most implementations require a minimum number of data points before reporting a figure at all.
Why it matters
Raw return numbers alone reward funds for taking more risk, not for using risk efficiently. A fund returning 40% annually with wild swings and one returning 20% annually with modest swings cannot be ranked by return alone — the Sharpe ratio gives a like-for-like comparison of how efficiently each fund converted risk into return, which is central to how institutional allocators evaluate managers.
Sharpe is also a natural complement to maximum drawdown: a fund can post an attractive Sharpe ratio over a full period while still having endured a severe drawdown along the way, because Sharpe averages risk over the whole window rather than isolating the worst single stretch. LPs typically want both figures, not one in place of the other.
Sharpe ratio
Annualizing volatility from a shorter-period return series commonly scales the period standard deviation by the square root of the number of periods per year — traditionally √252 for daily equity returns (trading days only), but crypto funds, whose markets trade every calendar day, typically use √365 instead. Which convention is used should always be stated alongside the figure, since it changes the reported number.
Computing Sharpe from annualized figures
A fund posts a 20% annualized return over the past year. The prevailing risk-free rate (a short-dated T-bill proxy) is 5%. The fund's annualized volatility, computed from its daily returns, is 15%.
Sharpe = (20% − 5%) / 15% = 15% / 15% = 1.00. As a cross-check on the annualization convention: if the fund's daily return standard deviation was 0.7846%, scaling by √365 (the crypto convention, since these markets trade every day) gives 0.7846% × 19.10497 ≈ 14.99%, consistent with the 15% annualized volatility used above — the same daily figure scaled by the equity convention of √252 would instead produce a noticeably lower annualized volatility and a correspondingly higher Sharpe ratio, which is exactly why the annualization basis must be disclosed.
| Input | Value |
|---|---|
| Annualized return | 20.00% |
| Risk-free rate | 5.00% |
| Excess return | 15.00% |
| Annualized volatility | 15.00% |
| Sharpe ratio | 1.00 |
Common mistakes
Comparing Sharpe ratios computed with different annualization conventions (√252 vs. √365) or different risk-free rate assumptions as if they were directly comparable — the same underlying returns can produce different Sharpe figures under each convention.
Computing Sharpe from a very short return history — a handful of good (or bad) days can produce an extreme-looking Sharpe ratio that says more about small-sample noise than genuine risk-adjusted skill.
Treating a high Sharpe ratio as proof of low risk in an absolute sense — Sharpe is a ratio, so a fund can post a high Sharpe while still carrying substantial absolute volatility and drawdown risk if its return is high enough to match.
Using Sharpe on strategies with strongly non-normal, skewed return distributions (common in options-selling or short-volatility crypto strategies) without also checking Sortino or drawdown — Sharpe's symmetric volatility measure can flatter a strategy that has a small chance of a very large loss.
Omitting the risk-free rate assumption entirely, or silently using 0% — the risk-free rate directly changes the numerator, so leaving it undisclosed makes the ratio impossible to audit or reproduce.
In practice
Crypto funds should state their annualization convention plainly, since the 365-calendar-day convention (crypto markets never close) versus the 252-trading-day convention (equities) can meaningfully change a reported Sharpe ratio for the exact same underlying return stream — an LP comparing a crypto fund's Sharpe against a traditional hedge fund benchmark should confirm both sides are using a consistent basis before drawing conclusions.
Nyx Fund's portfolio dashboard computes Sharpe (and Sortino and maximum drawdown) directly from the fund's actual daily shadow-NAV history, annualizing over the real calendar span between observations and gating the whole panel until at least three NAV data points exist, so an early-stage fund never sees a misleadingly precise ratio built on too little history.
Questions, answered
What is considered a good Sharpe ratio?
As a rough institutional guide, a commonly cited (but not universal) heuristic from traditional equity markets treats a Sharpe ratio above 1.0 as good, above 2.0 as very good, and above 3.0 as excellent. Those tiers were not developed for crypto strategies, whose return distributions are often skewed, and any Sharpe figure should be read alongside the length and quality of the return history behind it.
What is the difference between the Sharpe ratio and the Sortino ratio?
Both divide excess return by a measure of risk, but the Sharpe ratio uses total volatility (upside and downside movement treated equally), while the Sortino ratio uses only downside deviation. A strategy with frequent large positive surprises can show a lower Sharpe than Sortino, since Sharpe penalizes that upside volatility too.
Why does the risk-free rate matter for the Sharpe ratio?
The Sharpe ratio measures return in excess of a risk-free benchmark, not raw return. A higher assumed risk-free rate lowers the numerator and therefore the reported Sharpe ratio for the same fund performance, so the assumed rate should always be disclosed alongside the ratio.
How much return history do you need to compute a meaningful Sharpe ratio?
There is no strict industry minimum, but a handful of observations produces a statistically unreliable figure. Many platforms require at least several NAV data points before reporting Sharpe at all, and a full year or more of history is generally considered necessary before treating the ratio as meaningful.
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