Information Ratio Calculator

Calculate portfolio Information Ratio, active return, and tracking error to evaluate investment performance relative to a benchmark index.

Portfolio Profiles

1-click benchmark setups

Portfolio & Benchmark Inputs

Portfolio return

Annualized total return of the active investment strategy.

Benchmark return

Annualized return of the benchmark index (e.g. S&P 500, MSCI World).

Tracking error

Annualized standard deviation of excess returns (active risk).

Portfolio value (optional)

Invested capital for dollar alpha attribution.

Return frequency

Information Ratio (IR)

0.69

Performance rating: Good (Good active management. Outperforms benchmark with consistent risk discipline; typical of top-quartile active managers.)

Active return (alpha)

+2.2%

Portfolio 12.4% vs Benchmark 10.2%

Tracking error

3.2%

Standard deviation of excess returns

Dollar alpha generated

+$2,200.00

On $100,000.00 capital

Return Attribution Breakdown

Benchmark Return (Beta)$10,200.0082.3%
Active Alpha (Excess Return)$2,200.0017.7%

Manager Performance Rating & Targets

The Information Ratio assesses risk-adjusted alpha against institutional standards (Grinold-Kahn benchmark).

For Good Rating (IR = 0.50)

11.8% return

Requires 1.6% active alpha

For Exceptional Rating (IR = 1.00)

13.4% return

Requires 3.2% active alpha

How the Information Ratio is calculated

Four steps from portfolio excess returns and tracking error to institutional risk-adjusted evaluation.

Calculate Active Return (Alpha)
$\text{Active Return } (\alpha) = R_p - R_b = 12.40\% - 10.20\% = 2.20\%$
Subtract the benchmark return (10.20%) from the portfolio return (12.40%) to determine the excess return generated.
Identify Tracking Error (Active Risk)
$\text{Tracking Error } (\omega) = \sigma(R_p - R_b) = 3.20\%$
Tracking error measures the volatility of excess returns around the benchmark. Here, the active risk is 3.20%.
Compute the Information Ratio
$\text{IR} = \frac{\text{Active Return}}{\text{Tracking Error}} = \frac{R_p - R_b}{\omega} = \frac{2.20\%}{3.20\%} = 0.69$
With annual inputs, the Information Ratio is 0.69.
Institutional Performance Evaluation
According to the Grinold-Kahn standard rating scale, an Information Ratio of 0.69 is classified as "Good". Good active management. Outperforms benchmark with consistent risk discipline; typical of top-quartile active managers.

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Understanding the Information Ratio in Active Portfolio Management

When evaluating an active investment manager, raw returns tell only part of the story. A fund that outperformed the market by taking reckless, unhedged risks may simply be lucky, whereas a manager delivering steady outperformance with tightly controlled deviations from the benchmark exhibits genuine skill. The Information Ratio (IR) is the premier institutional metric used to quantify how efficiently a portfolio manager converts active risk into excess return.

By comparing active return (the difference between portfolio return and benchmark return) directly against tracking error (the volatility of that excess return), the Information Ratio reveals whether an active manager justifies their fees. If you are projecting long-term compound growth across different asset allocations, you can model overall trajectory with our CAGR calculator. If you need to estimate probability-weighted performance across varying market states, our expected return calculator provides scenario modeling. When evaluating fee friction on net alpha, our expense ratio calculator helps determine whether gross excess returns survive management expenses. For multi-year arithmetic and geometric returns, check our average return calculator, and for hedging underlying portfolio risk with derivatives, see the hedge ratio calculator.

The Mathematical Formula for Information Ratio

The Information Ratio expresses active return per unit of active risk. Formally, let $R_p$ represent the annualized return of the active portfolio and $R_b$ represent the annualized return of the benchmark index. Active return ( $\alpha$ ) is defined as:

\text{Active Return } (\alpha) = R_p - R_b

Active risk is measured by Tracking Error ( $\omega$ or $\text{TE}$ ), which is the sample standard deviation of excess returns across time intervals:

\text{Tracking Error } (\omega) = \sqrt{\frac{1}{T - 1} \sum_{t=1}^T \left( (R_{p,t} - R_{b,t}) - \overline{R_p - R_b} \right)^2}

The Information Ratio is the ratio of active return to tracking error:

\text{Information Ratio } (\text{IR}) = \frac{R_p - R_b}{\omega} = \frac{\alpha}{\omega}

Annualizing Periodic Information Ratios

Investment consultants and institutional allocators commonly calculate active returns and tracking errors on monthly or quarterly observations. Because excess returns scale linearly with time while volatility scales with the square root of time, annualizing the Information Ratio requires adjusting by the square root of the observation frequency:

\text{IR}_{\text{annual}} = \frac{\alpha_{\text{periodic}} \times k}{\omega_{\text{periodic}} \times \sqrt{k}} = \text{IR}_{\text{periodic}} \times \sqrt{k}

In this equation, $k = 12$ for monthly observations, $k = 4$ for quarterly observations, and $k = 252$ for daily trading observations.

The Grinold and Kahn Institutional Benchmark Scale

In their seminal treatise Active Portfolio Management, financial economists Richard Grinold and Ronald Kahn published the industry-standard benchmark framework for interpreting Information Ratios over three- to five-year rolling periods:

Information Ratio	Performance Rating	Manager Percentile	Institutional Interpretation
< 0.00	Negative	Bottom 50%	Portfolio underperformed benchmark; active risk destroyed value.
0.00 to 0.49	Modest	Median to 75th	Weak outperformance; excess returns rarely justify active management fees.
0.50 to 0.74	Good	Top 25% (Quartile 1)	Solid consistency; disciplined active risk management and dependable stock selection.
0.75 to 0.99	Very Good	Top 10% (Decile 1)	Superior alpha generation; high conviction with rigorous downside tracking control.
≥ 1.00	Exceptional	Top 1% to 2%	Elite institutional tier; rare over multi-year cycles, indicating exceptional skill.

Step-by-Step Worked Example

Consider an institutional large-cap equity fund managing $1,000,000 in capital against the S&P 500 Index over a five-year evaluation period:

Portfolio Annual Return ( $R_p$ ): 13.50%
Benchmark Annual Return ( $R_b$ ): 11.00%
Annualized Tracking Error ( $\omega$ ): 3.125%

To evaluate the manager using the Information Ratio:

Determine Active Return: Subtract benchmark return from portfolio return:
$\alpha = 13.50\% - 11.00\% = 2.50\%$
Calculate Information Ratio: Divide active return by annualized tracking error:
$\text{IR} = \frac{2.50\%}{3.125\%} = 0.80$
Translate to Dollar Alpha: On $1,000,000 of assets under management, total portfolio return generated $135,000 of gross gains. The benchmark accounted for $110,000, while the manager's active selection delivered $25,000 in net dollar alpha.
Apply Institutional Rating: An Information Ratio of 0.80 places this manager in the “Very Good” tier (top decile), confirming that the outperformance was consistent and not merely a byproduct of uncompensated volatility.

Information Ratio vs. Sharpe Ratio vs. Treynor Ratio

Risk-adjusted performance metrics serve distinct purposes depending on which baseline and risk measure an investor prioritizes:

Metric	Numerator (Excess Return)	Denominator (Risk Measure)	Primary Decision Context
Information Ratio	Return over Benchmark ( $R_p - R_b$ )	Tracking Error ( $\omega$ )	Evaluating active manager skill relative to a specific mandate or index.
Sharpe Ratio	Return over Risk-Free Rate ( $R_p - R_f$ )	Total Volatility ( $\sigma_p$ )	Assessing standalone portfolio efficiency and overall risk compensation.
Treynor Ratio	Return over Risk-Free Rate ( $R_p - R_f$ )	Systematic Risk / Beta ( $\beta_p$ )	Assessing a sub-portfolio within a broadly diversified multi-asset fund.

Key Pitfalls When Interpreting the Information Ratio

While the Information Ratio is a vital institutional diagnostic, professional allocators watch for several common traps:

Closet Indexing Distortion: A manager who hugs the benchmark very closely may register a tiny tracking error (such as 0.40%). Even a trivial excess return of 0.35% produces an artificially elevated Information Ratio of 0.88, yet the manager generates almost no meaningful dollar alpha after management fees. To evaluate whether excess return exceeds the CAPM benchmark hurdle for a given level of systematic risk, consult our Jensen's alpha calculator.
Benchmark Mismatch: If an active manager focuses on small-cap growth stocks but compares their performance to the S&P 500, apparent outperformance reflects style factor bias rather than stock-picking skill. An accurate IR requires an appropriate, investable style benchmark.
Sample Size and Regimes: Over short horizons (less than three years), tracking errors can be understated due to quiet market regimes. Institutional due diligence requires at least 36 to 60 monthly observations spanning full economic cycles.

Frequently asked questions

What is considered a good Information Ratio for a fund manager?

In institutional asset management, an annualized Information Ratio of 0.50 or higher is considered good, placing the manager roughly in the top quartile. Ratios between 0.75 and 1.00 represent top-decile performance, and ratios of 1.00 or greater are considered exceptional over multi-year market cycles.

How does the Information Ratio differ from the Sharpe Ratio?

The Sharpe Ratio measures excess return relative to the risk-free rate divided by the portfolio total standard deviation. In contrast, the Information Ratio measures excess return relative to a specific benchmark index divided by the tracking error (volatility of excess return). Sharpe assesses total risk efficiency, while Information Ratio assesses active manager skill.

What is tracking error, and why is it the denominator?

Tracking error is the sample standard deviation of the difference between portfolio returns and benchmark returns. It measures how consistently a manager follows or deviates from their index. By using tracking error as the denominator, the Information Ratio penalizes erratic returns and rewards reliable, steady alpha.

Can the Information Ratio be negative?

Yes. If a portfolio generates a lower return than its designated benchmark over the evaluation period, the active return is negative, resulting in a negative Information Ratio. This indicates that active bets reduced portfolio value compared to holding a passive low-cost index fund.

Why must periodic Information Ratios be annualized with square-root scaling?

Returns compound linearly over time, while standard deviation (volatility) increases with the square root of time under random-walk assumptions. To convert a monthly Information Ratio to an annual figure, you multiply by the square root of 12 (approximately 3.464).

Can a fund manager have high total returns but a low Information Ratio?

Yes. If a manager delivers an 18% return in a bull market where their benchmark returned 17%, the active return is only 1%. If their tracking error was 4%, the Information Ratio is only 0.25 (modest). High absolute return does not necessarily signify active manager skill if the market provided the bulk of the gain.

Resources and references

The formulas and methods in this calculator were checked against these independent sources.