Sharpe, Sortino & Information Ratios Calculator

Category: Portfolio & Performance

Evaluate investment performance with key risk-adjusted return metrics. Compare portfolios and investment strategies with measures that account for volatility, downside risk, and benchmark performance.

Investment Data

%
%
%
Volatility of negative returns only (for Sortino Ratio)
%
Typically treasury yield of matching duration

Benchmark Information (for Information Ratio)

%
%
Standard deviation of portfolio returns vs benchmark returns

Risk-Adjusted Return Metrics

Sharpe Ratio
i
1.24
Good
(Return - Risk Free Rate) / Standard Deviation
(12.5% - 2.0%) / 8.5% = 1.24
Sortino Ratio
i
1.85
Very Good
(Return - Risk Free Rate) / Downside Deviation
(12.5% - 2.0%) / 5.7% = 1.85
Information Ratio
i
0.76
Moderate
(Portfolio Return - Benchmark Return) / Tracking Error
(12.5% - 8.0%) / 5.9% = 0.76
Treynor Ratio
i
13.75
Good
Portfolio Beta: 0.85
Calmar Ratio
i
0.52
Moderate
Max Drawdown: 24.0%

Statistical Analysis

Sharpe Ratio Significance:
Statistically Significant (p < 0.05)
Information Ratio Significance:
Not Statistically Significant (p = 0.12)
Based on 3 years of data at 95% confidence level

Ratio Comparison

Return vs. Risk Analysis

Interpretation & Analysis

Risk-Adjusted Performance

Your investment shows good risk-adjusted returns with a Sharpe Ratio of 1.24. This indicates that for each unit of risk taken, you're earning an excess return (above risk-free rate) of 1.24.

The Sortino Ratio of 1.85 is notably higher than the Sharpe Ratio, suggesting your investments have relatively lower downside risk compared to overall volatility.

The Information Ratio of 0.76 shows moderate outperformance versus the benchmark, however, this is not statistically significant based on the observation period.

Strengths
  • Strong downside risk management (high Sortino Ratio)
  • Consistent performance above the risk-free rate
  • Statistically significant Sharpe Ratio
Considerations
  • Benchmark outperformance is not statistically significant
  • Moderate maximum drawdown relative to returns
  • More data would strengthen the statistical confidence

Understanding Risk-Adjusted Return Metrics

Risk-adjusted return metrics help investors evaluate investment performance while accounting for the risk taken to achieve those returns. These ratios are essential tools for comparing portfolios with different risk profiles.

Sharpe Ratio

Formula: (Average Return - Risk-Free Rate) / Standard Deviation

Developed by Nobel laureate William Sharpe, this ratio measures excess return per unit of total risk. Higher values indicate better risk-adjusted performance.

< 0 Poor
0-0.5 Below Average
0.5-1.0 Moderate
1.0-2.0 Good
> 2.0 Excellent

Sortino Ratio

Formula: (Average Return - Risk-Free Rate) / Downside Deviation

A variant of the Sharpe ratio that only penalizes downside volatility, recognizing that upside volatility is beneficial to investors.

< 0 Poor
0-1.0 Below Average
1.0-2.0 Good
2.0-3.0 Very Good
> 3.0 Excellent

Information Ratio

Formula: (Portfolio Return - Benchmark Return) / Tracking Error

Measures a portfolio manager's ability to generate excess returns relative to a benchmark, but also adjusts for tracking risk (deviation from benchmark).

< 0 Underperformance
0-0.4 Below Average
0.4-0.8 Moderate
0.8-1.2 Good
> 1.2 Excellent

Statistical Significance

Performance ratios should be tested for statistical significance, especially with shorter observation periods.

For a Sharpe ratio to be statistically significant at the 95% confidence level:

  • 1-year observation: Sharpe ratio > 2.0
  • 3-year observation: Sharpe ratio > 1.0
  • 5-year observation: Sharpe ratio > 0.8
  • 10-year observation: Sharpe ratio > 0.6

Similar principles apply to other ratios like the Information Ratio.

Additional Ratios

Treynor Ratio

Formula: (Portfolio Return - Risk-Free Rate) / Portfolio Beta

Measures excess return per unit of systematic risk (beta). A higher Treynor ratio indicates a better risk-adjusted performance against market risk.

Calmar Ratio

Formula: Annualized Return / Maximum Drawdown

Evaluates return relative to maximum drawdown risk. Particularly useful for strategies where limiting large losses is critical.

What this calculates

Risk-adjusted return, measured three ways.

Formula
Sharpe = (return − risk-free) ÷ σ; Sortino uses downside σ only; Information = (return − benchmark) ÷ tracking error
Worked example
A 12% return, 3% risk-free rate and 15% volatility gives a Sharpe of (12 − 3) ÷ 15 = 0.60.
When to use it
To compare strategies that produced different returns at different risk levels.
Common mistake
Sharpe penalises upside volatility as much as downside. A strategy with sharp gains scores worse than a flat one — Sortino exists because of this.