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Sharpe Ratio Calculator

Calculate a portfolio's Sharpe Ratio to measure risk-adjusted return. Find out if your investment performance is the result of skill or simply taking on excess risk.

Return & Volatility

%
%

Typically the 10-Year Treasury Yield or 3-Month T-Bill.

%

The standard deviation of the portfolio's returns, measuring risk.

Sub-optimal / Poor (< 1.0)

Sharpe Ratio

0.53
Risk-Adjusted Return Multiple
Excess Return over Cash:8%
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What is The Sharpe Ratio — Risk-Adjusted Return?

Developed by Nobel laureate William F. Sharpe in 1966, the Sharpe Ratio is the industry-standard metric for evaluating whether an investment's returns are the result of skilled management or simply the result of taking on more risk. It answers: for every unit of volatility you accept, how much excess return above the risk-free rate do you get?

Mathematical Foundation

Sharpe Ratio=Rp−Rfσp\text{Sharpe Ratio} = \frac{R_p - R_f}{\sigma_p}
RpR_p= Annualized portfolio return (%).
RfR_f= Risk-Free Rate — typically the 10-Year US Treasury yield or 3-Month T-Bill rate.
σp\sigma_p= Standard deviation of the portfolio's excess return — the measure of volatility (risk).

Laws & Principles

  • Sharpe > 1.0 is Good: For every unit of risk taken, you earn more than one unit of excess return above cash. Managers and funds with consistent Sharpe ratios above 1.0 are genuinely adding risk-adjusted value.
  • Sharpe < 1.0 is Sub-optimal: The risk taken is not being adequately compensated by returns. A Sharpe of 0.5 means you earn $0.50 of excess return for every $1 of volatility — a poor bargain.
  • Negative Sharpe is Catastrophic: A negative ratio means the portfolio returned less than a risk-free T-bill investment while taking on significant volatility. You would have been better off in cash.

Step-by-Step Example Walkthrough

" Fund A: 12% return, 10% volatility. Fund B: 14% return, 20% volatility. Risk-free rate: 4%. "

  1. Fund A Sharpe: (12% - 4%) / 10% = 0.80
  2. Fund B Sharpe: (14% - 4%) / 20% = 0.50
  3. Fund A wins on risk-adjusted basis despite the lower absolute return.
Final Result: Fund A generates $0.80 of excess return per unit of risk vs Fund B's $0.50. A rational risk-aware investor prefers Fund A.

Quick Answer: How does the Sharpe Ratio Calculator work?

Enter your portfolio's annualized return, the current risk-free rate (use the 10-Year Treasury yield), and your portfolio's annualized standard deviation (volatility). The calculator instantly outputs your Sharpe Ratio and classifies it as Good (>1.0), Acceptable (~1.0), or Sub-optimal (<1.0). Use it to compare two portfolios with different returns and risks on an apples-to-apples basis.

Sharpe Ratio Formula — Explained

The Core Formula

Sharpe Ratio = (Portfolio Return − Risk-Free Rate) ÷ Volatility (σ)

Numerator

Excess Return

The return above what you could earn by holding cash or T-bills. This is the "reward" for investing.

Denominator

Std Deviation (σ)

The annualized standard deviation of returns. Higher σ = more volatile = more risk taken.

Output

Return per Risk Unit

How many dollars of excess return per dollar of volatility. Higher is always better.

ⓘ What risk-free rate should I use?

Use the 3-Month US Treasury Bill for short-term portfolio analysis, or the 10-Year US Treasury Note yield for long-term (equity) portfolio comparisons. As of 2024–2025, the risk-free rate range is approximately 4.25%–5.25%.

Real-World Portfolio Comparison

✓ Conservative Hedge Fund — Superior Sharpe

  1. Portfolio Return: 9.0%
  2. Risk-Free Rate: 4.5%
  3. Volatility (σ): 7.0%
  4. Sharpe Ratio: (9.0 − 4.5) / 7.0 = 0.64

→ 0.64 is technically sub-1.0 but considered excellent for a market-neutral hedge fund. The low volatility means the 9% return comes with very little downside risk — acceptable for capital preservation mandates.

✗ High-Return Aggressive Fund — Poor Sharpe

  1. Portfolio Return: 18.0%
  2. Risk-Free Rate: 4.5%
  3. Volatility (σ): 35.0%
  4. Sharpe Ratio: (18.0 − 4.5) / 35.0 = 0.39

→ 18% sounds impressive but the fund is taking on massive risk. With 35% volatility, the fund likely has years of −20% or worse. A Sharpe of 0.39 means you are getting poorly compensated for the stress — the S&P 500 index typically averages 0.4–0.6 Sharpe with far less manager risk.

Sharpe Ratio Benchmark Reference

Sharpe Ratio Grade Typical Example
> 3.0ExceptionalShort-vol strategies (pre-2018)
1.0 – 3.0GoodRenaissance Medallion Fund (~2.0+)
0.5 – 1.0AcceptableS&P 500 (~0.4–0.6 long-run)
0.0 – 0.5Sub-optimalAverage active fund
< 0.0NegativeCash would have been better

Pro Tips & Common Mistakes

Do This

  • ✓Always use the Sharpe Ratio to compare investments with different volatility profiles. A fund returning 15% with 30% volatility is objectively worse than a fund returning 10% with 8% volatility if the Sharpe confirms it. Raw return alone is meaningless without the risk context.
  • ✓Use the Sortino Ratio as a supplement for non-normal return distributions. The Sharpe penalizes upside volatility equally with downside. The Sortino Ratio only penalizes downside standard deviation — use it alongside Sharpe for strategies with large positive outliers (e.g., venture capital).

Avoid This

  • ✗Do not use the Sharpe Ratio as a standalone criterion for illiquid investments. Private equity, real estate, and hedge funds with quarterly NAV smoothing report artificially low volatility, inflating their Sharpe Ratio vs publicly-traded equivalents. The Sharpe Ratio requires observable, frequent return data to be meaningful.
  • ✗Do not compare Sharpe Ratios across different time periods. A Sharpe calculated during a bull market (low volatility, high returns) will be artificially high. Always compare Sharpe Ratios calculated over the same time window against a consistent benchmark risk-free rate.

Frequently Asked Questions

What is a good Sharpe Ratio for a mutual fund?

For a standard equity mutual fund, a Sharpe Ratio above 1.0 is considered good, and anything above 2.0 is exceptional. Most actively managed large-cap equity funds historically average Sharpe Ratios between 0.4 and 0.7 over long periods — barely above the S&P 500 index itself. If an active fund is charging higher fees with a similar or lower Sharpe Ratio than its benchmark index, the manager is not adding risk-adjusted value.

What's the difference between the Sharpe Ratio and the Sortino Ratio?

The Sharpe Ratio divides excess return by total standard deviation — penalizing both upside and downside volatility equally. The Sortino Ratio uses only downside standard deviation (returns below a target threshold) as the denominator. This makes the Sortino Ratio more appropriate for asymmetric return profiles — options strategies, venture capital, or any portfolio where large positive outliers are desirable but large negative outliers are catastrophic. The Sortino Ratio will be higher than the Sharpe for strategies with positive skew.

How do I find my portfolio's standard deviation (volatility)?

For a mutual fund or ETF, the annualized standard deviation is typically published on the fund's fact sheet or on Morningstar under the "Risk" tab (look for "Standard Deviation" in the "Volatility Measures" section). For an individual stock, calculate the standard deviation of monthly returns over 12–36 months using Excel's STDEV() function on your monthly return series, then multiply by √12 to annualize. For a personal brokerage account, your performance history is typically in monthly returns — calculate and annualize the same way.

Can the Sharpe Ratio be negative and what does that mean?

Yes — a negative Sharpe Ratio means the portfolio's return was less than the risk-free rate. The investor took on volatility and ended up with a worse outcome than simply holding cash or T-bills. Note that comparing two negative Sharpe Ratios creates a mathematical paradox: the "less negative" ratio isn't necessarily the better investment because it could imply higher volatility was taken on. When Sharpe Ratios are negative, use other metrics (maximum drawdown, absolute return) to evaluate performance.

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