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Sharpe Ratio Calculator

Calculate the Sharpe ratio to measure risk-adjusted return — how much excess return you earn per unit of volatility.

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Use the current 3-month T-bill or 10-year Treasury yield

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Annual standard deviation of portfolio returns

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How to use this calculator

Enter the Portfolio Return (annual return in %), the Risk-Free Rate (use the current 3-month T-bill or 10-year Treasury yield), and the Standard Deviation (annualized volatility of the portfolio’s returns).

The calculator returns:

  • Sharpe Ratio: the primary risk-adjusted return metric
  • Excess Return: return above the risk-free rate
  • Return per Unit of Risk: same as Sharpe ratio, reframed

Fund returning 14% when T-bills yield 5%, with 18% annual standard deviation:

Excess return = 14% − 5% = 9% Sharpe ratio = 9% / 18% = 0.50

This is at the border of “adequate”; the fund earned half a percent of return for every 1% of risk taken. Compare against the S&P 500 Sharpe ratio over the same period to assess whether this is better or worse than passive indexing.


The Sharpe ratio formula

Sharpe Ratio = (Rp − Rf) / σp

Where:

  • Rp = Portfolio return (annualized)
  • Rf = Risk-free rate (3-month T-bill or relevant short-term rate)
  • σp = Portfolio standard deviation (annualized)

The numerator (Rp − Rf) is the “excess return,” what the investor earned above what a risk-free investment would have paid. The denominator (σp) is the “price” of that excess return in terms of volatility endured.

Higher Sharpe = more return per unit of risk = better risk-adjusted performance.


Sharpe ratio interpretation guide

Sharpe RatioInterpretation
Below 0.0Poor; underperformed the risk-free rate on a risk-adjusted basis
0.0–0.25Very poor; almost certainly worse than passive investing
0.25–0.50Below average; market returns without market efficiency
0.50–1.00Average to good; typical range for equity strategies
1.00–1.50Very good; uncommon for diversified strategies
1.50–2.00Excellent; rare at scale, may indicate niche edge
Above 2.00Exceptional; verify data, often unsustainable or model-fit

Historical reference points:

  • S&P 500 (long-run): ~0.40–0.50
  • Classic 60/40 portfolio: ~0.55–0.65
  • Warren Buffett / Berkshire Hathaway (multi-decade): ~0.76
  • Well-managed hedge funds: 0.80–1.20
  • Madoff (fraudulent, claimed): 2.5+, a red flag in retrospect
A Sharpe ratio above 2.0 should trigger skepticism, not celebration. Either the strategy is operating in a very narrow inefficient niche, or the data was cherry-picked. Legitimate diversified strategies rarely sustain Sharpe ratios above 1.5 over long periods.

How to find standard deviation for your portfolio

Standard deviation measures how much the portfolio’s returns vary from the average. Here’s how to calculate it:

  1. Collect monthly returns for 36–60 months (longer = more reliable)
  2. Calculate the average monthly return
  3. Compute the variance: average of squared differences from the mean
  4. Take the square root for monthly standard deviation
  5. Annualize: multiply by √12 (approximately 3.464)

Reference: Standard deviations by asset class:

Asset TypeApprox. Annual SD
Cash / money market0.5–1%
Investment-grade bonds5–8%
Balanced 60/4010–12%
U.S. large-cap equity (S&P 500)14–18%
U.S. small-cap equity18–25%
Emerging markets equity22–30%
Individual stocks25–60%+
Crypto assets60–100%+

Most fund fact sheets publish the standard deviation directly (often labeled “volatility” or “risk”). Use that figure rather than calculating manually.


Why two funds with identical returns can have very different risk profiles

Two funds both returned 12%. Which is better?

FundReturnRisk-Free RateStandard DeviationSharpe Ratio
Fund A12%5%8%0.875
Fund B12%5%20%0.350

Fund A is clearly superior; it produced the same return with 60% less volatility. An investor in Fund A could have used moderate leverage to amplify the low-volatility return and achieve a higher absolute return at the same risk level as Fund B.

This is the core insight of the Sharpe ratio: return without context is meaningless. The relevant question is always how much risk was taken to earn it.


Limitations of the Sharpe ratio

The Sharpe ratio has real weaknesses:

1. Penalizes upside volatility equally with downside. A fund that has occasional 30% gain months looks riskier under Sharpe than one with steady 1% monthly returns, even when the big gains are desirable. The Sortino ratio fixes this.

2. Assumes normal distribution. Real return distributions have fat tails; extreme events are more frequent than the normal distribution predicts. The Sharpe ratio can look excellent for a strategy that earns steady gains but occasionally blows up catastrophically (e.g., writing naked options).

3. Sensitive to the choice of risk-free rate. Changing Rf from 2% to 5% significantly changes the ratio when excess returns are small.

4. Not comparable across different time frames without annualization. A monthly Sharpe of 0.3 is not the same as an annual Sharpe of 0.3. Annualize both: Monthly × √12.

Strategies that manufacture a high Sharpe ratio through autocorrelation (e.g., mark-to-model pricing of illiquid assets) may appear low-risk in the historical data while carrying substantial hidden risk. Sharpe ratio is a tool, not a guarantee.


Sharpe ratio vs. other risk-adjusted metrics

MetricDenominatorBest For
Sharpe RatioTotal standard deviationGeneral risk-adjusted comparison
Sortino RatioDownside standard deviationAsymmetric strategies, trend-following
Treynor RatioBeta (systematic risk)Evaluating contribution to a diversified portfolio
Calmar RatioMaximum drawdownTrend-following, futures strategies
Information RatioTracking error vs. benchmarkActive fund managers

Use Sharpe for general portfolio performance comparison. Use Sortino when upside volatility is significant. Use Calmar for trend-following or drawdown-sensitive investors.


The bottom line

The Sharpe ratio answers the most important question in investment analysis: “How much risk did you take to earn that return?”

A fund or strategy is only genuinely good if its Sharpe ratio exceeds what was available in passive alternatives. For the U.S. equity market, the long-run Sharpe is approximately 0.45. Any active strategy should clear that bar before its fees are counted, and most don’t.

Use this calculator to:

  1. Compare two investments on an equal footing
  2. Screen fund managers for skill vs. luck
  3. Evaluate whether the risk in your portfolio is being adequately compensated

For a version that only penalizes harmful downside volatility, use the Sortino Ratio Calculator.

Frequently Asked Questions

What is the Sharpe ratio?

The Sharpe ratio = (Portfolio Return − Risk-Free Rate) / Standard Deviation. It measures how much extra return you earn per unit of risk taken. Higher is better.

What is a good Sharpe ratio?

Generally: below 0 = poor; 0–0.5 = below average; 0.5–1.0 = adequate; 1.0–2.0 = good; above 2.0 = excellent. In practice, most equity strategies deliver long-run Sharpe ratios of 0.3–0.7. Ratios above 1.5 warrant scrutiny for overfitting or cherry-picked time periods.

What risk-free rate should I use?

Use the current 3-month U.S. Treasury bill yield for short-term comparisons, or the 10-year Treasury yield for longer-term analysis. As of the mid-2020s, risk-free rates have been 4–5%. Match the risk-free rate to the return measurement period.

What is the standard deviation of a portfolio?

Standard deviation measures how much a portfolio's returns vary from its average. A portfolio with 15% annual standard deviation will typically see annual returns within ±15% of its average return about 68% of the time (one standard deviation). It is published in fund fact sheets.

Can the Sharpe ratio be negative?

Yes. A negative Sharpe ratio means the investment returned less than the risk-free rate. Holding T-bills would have been better. A Sharpe below 0 is a clear signal that the risk was not compensated.

How is the Sharpe ratio different from the Sortino ratio?

The Sharpe ratio uses total standard deviation (upside + downside volatility). The Sortino ratio only uses downside deviation. The Sortino ratio is preferred for assets with asymmetric return profiles, as it does not penalize good volatility (large gains).

Does a higher Sharpe ratio mean lower risk?

Not necessarily lower absolute risk — it means better compensation for the risk taken. A lower-risk investment with a low return can have a low Sharpe ratio, while a moderate-risk investment with a high return can have a high Sharpe ratio.

How do I calculate standard deviation for my portfolio?

Gather the monthly returns for your portfolio over at least 3 years. Calculate the average monthly return. Find the variance (average of squared differences from the mean). Take the square root for monthly SD. Multiply by √12 to annualize: Annual SD = Monthly SD × √12.

What is the S&P 500 Sharpe ratio historically?

Over long periods (1928–present), the S&P 500 has had an annualized Sharpe ratio of approximately 0.40–0.50, using the 3-month T-bill as the risk-free rate. In particularly strong decades (like the 1990s), it has been as high as 0.8–1.0.

Is the Sharpe ratio annualized?

The Sharpe ratio is most meaningful when both the return and standard deviation are expressed in the same time unit. For annual performance, use annual return and annual SD. Monthly Sharpe ratios can be annualized by multiplying by √12.

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