Risk-Adjusted Return Calculator

Compare investments using Sharpe ratio.

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Built by Abiot Y. Derbie, PhD — Postdoctoral Research Fellow. Quantitative researcher specializing in statistical modeling and data-driven decision systems.
Mathematical models independently verified by Eskezeia Y. Dessie, PhD (Indiana University School of Medicine) and Armin Allahverdy, PhD (LinkedIn) — Data Scientist, Machine Learning & Data Mining.

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This calculator is for informational and educational purposes only. Results are estimates based on the information you provide and standard financial formulas. This is not financial advice. Consult a qualified financial advisor for decisions specific to your situation. Full Disclaimer

Things to Know

Essential concepts for understanding your results

Sharpe Ratio
What is the Sharpe ratio?

Sharpe Ratio = (Portfolio Return − Risk-Free Rate) ÷ Standard Deviation. A portfolio returning 12% with the risk-free rate at 4% and standard deviation of 15%: Sharpe = (12% − 4%) ÷ 15% = 0.53. Higher is better: above 1.0 is good, above 2.0 is excellent. The Sharpe ratio answers: how much return are you earning per unit of risk taken? A fund returning 8% with Sharpe of 1.2 is better risk-adjusted than one returning 12% with Sharpe of 0.6.

Sortino Ratio
How does the Sortino ratio differ from Sharpe?

The Sortino ratio uses only downside deviation instead of total standard deviation. This matters because investors do not mind upside volatility — only downside hurts. A fund with occasional large gains (high upside volatility) gets penalized by Sharpe but not by Sortino. Sortino above 2.0 is good; above 3.0 is excellent. For comparing strategies where upside potential varies significantly, Sortino provides a fairer comparison than Sharpe.

Alpha
What is alpha in investment performance?

Alpha = Actual Return − Expected Return (given the risk taken). A fund expected to return 10% based on its beta (market sensitivity) that actually returns 12% has +2% alpha — genuine skill-based outperformance. Negative alpha means the manager destroyed value — you would have been better with a passive index fund at the same risk level. Over 15-year periods, 85-90% of active managers produce negative alpha, which is why index funds dominate for most investors.

What Is Risk-Adjusted Return?

Risk-adjusted return measures how much return you earned relative to the risk you took. Two investments can both return 10% — but if one required twice the volatility (risk) to achieve it, the lower-risk one produced a superior risk-adjusted return. Simply comparing raw returns without accounting for risk is like comparing two drivers' lap times without noting that one drove in the rain.

The most common metric: the Sharpe Ratio = (Portfolio Return - Risk-Free Rate) ÷ Standard Deviation of Returns. A 10% portfolio return with 15% standard deviation and a 4.5% risk-free rate: (10% - 4.5%) ÷ 15% = 0.37 Sharpe. A different portfolio returning 8% with 8% standard deviation: (8% - 4.5%) ÷ 8% = 0.44 Sharpe. The 8% portfolio is actually better on a risk-adjusted basis — more return per unit of risk taken.

Sharpe ratio benchmarks: below 0.5 = poor (risk is not being compensated adequately). 0.5-1.0 = acceptable. 1.0-2.0 = excellent. Above 2.0 = exceptional (very rare over long periods). The S&P 500's historical Sharpe ratio is approximately 0.4-0.6 over most 10-year periods.

Key Risk-Adjusted Metrics Explained

Sharpe Ratio: Uses total volatility (standard deviation) as the risk measure. Best for evaluating your entire portfolio. Limitation: penalizes upside volatility equally with downside — a stock that goes up a lot is "risky" by this measure, which feels counterintuitive.

Sortino Ratio: Like Sharpe but uses only downside deviation — only penalizing negative volatility. This better reflects investor preferences since upside volatility (big gains) is welcome. A Sortino of 1.5 is strong; above 2.0 is excellent. More useful than Sharpe for evaluating strategies with asymmetric return profiles (options, concentrated positions).

Treynor Ratio: Uses beta (market sensitivity) instead of standard deviation. Measures return per unit of systematic risk. Useful for evaluating mutual funds and ETFs within a diversified portfolio where unsystematic risk is diversified away.

Alpha (Jensen's Alpha): The return above what would be expected given the portfolio's beta (market risk). Positive alpha means the portfolio outperformed its risk-adjusted benchmark. A fund with 12% return, beta of 1.1, and an 10% market return: expected return = 4.5% + 1.1 × (10% - 4.5%) = 10.55%. Alpha = 12% - 10.55% = +1.45%. This fund added value beyond what its market exposure would predict.

Applying Risk-Adjusted Thinking to Your Portfolio

Fund comparison: When choosing between similar funds, compare Sharpe ratios over 3-5 year periods instead of raw returns. A fund returning 9% with a 0.7 Sharpe is genuinely better than one returning 11% with a 0.4 Sharpe — the second fund took disproportionate risk to earn the extra 2%.

Asset allocation decisions: Adding bonds to an all-stock portfolio typically reduces raw return but can improve the Sharpe ratio — because volatility drops more than return decreases. A 80/20 stock/bond portfolio often has a higher Sharpe than 100% stocks, meaning the risk-adjusted return is better even though the raw return is lower.

The maximum drawdown perspective: Beyond ratios, consider the worst-case scenario. A portfolio returning 10%/year on average but dropping 50% in the worst year may be less suitable than one returning 7%/year with a worst drawdown of 20% — depending on your ability to stay invested during the crash. Most investors abandon high-volatility strategies at the worst time, destroying the theoretical return advantage.

Frequently Asked Questions

What is a good Sharpe ratio?
0.5-1.0 is acceptable for a diversified portfolio. 1.0-2.0 is excellent. Above 2.0 is exceptional and rare over sustained periods. The S&P 500's historical Sharpe is approximately 0.4-0.6. A Sharpe below 0.3 suggests the portfolio's risk is not being adequately compensated — consider reallocating to improve the ratio.
Why does risk-adjusted return matter?
Because two investments with the same return can have vastly different risk profiles. A 10% return with low volatility is objectively better than 10% with high volatility — same reward, less risk. Risk-adjusted metrics help you avoid taking unnecessary risk and identify investments that deliver the most return per unit of risk taken.
What is the difference between Sharpe and Sortino ratios?
Sharpe penalizes all volatility (up and down). Sortino only penalizes downside volatility — big gains are not considered "risk." Sortino better reflects investor preferences since we welcome upside surprise but fear downside. Use Sortino for evaluating individual investments; Sharpe for overall portfolio assessment.
How do I improve my portfolio's risk-adjusted return?
Diversify across uncorrelated assets (stocks, bonds, international, real estate), reduce concentrated positions, add bonds to an all-stock portfolio (often improves Sharpe), eliminate high-fee funds (fees reduce return without reducing risk), and rebalance regularly. The goal: maintain similar returns while reducing volatility, or maintain similar volatility while increasing returns.
What is alpha in investing?
Alpha measures return above what the portfolio's market risk (beta) would predict. Positive alpha: the investment outperformed its risk-adjusted benchmark. Negative alpha: it underperformed. Most actively managed funds have negative alpha after fees — meaning they deliver less than a simple index fund for the same level of risk. True persistent positive alpha is extremely rare.
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