Information Ratio - Sharpe Ratio for Benchmark-Relative Strategies
By EC Assets Research Team, Performance Analytics · Published · Updated
Information Ratio — The Information Ratio measures the consistency of excess returns relative to a benchmark. It is the active return divided by tracking error, and the benchmark-relative analog of the Sharpe ratio for active managers.
Definition
The Information Ratio (IR) measures benchmark-relative excess return per unit of tracking error. The formula is straightforward: IR = (Portfolio return - Benchmark return) / Standard deviation of (Portfolio return - Benchmark return).
The numerator is "active return" - the portion of portfolio return attributable to deviations from the benchmark. The denominator is "tracking error" - the volatility of those deviations. Together they answer: how consistently does this manager produce excess return relative to its benchmark?
IR was developed by Richard Grinold in 1989 specifically for evaluating benchmark-relative active management. Unlike the Sharpe ratio (which compares total return to total volatility), IR compares benchmark-relative return to benchmark-relative volatility. It is the appropriate metric when the relevant comparison is "did this manager add value over and above what its benchmark delivered" rather than "what was the absolute risk-adjusted return".
Interpreting Information Ratio
| IR range | Interpretation | Frequency |
|---|---|---|
| < 0 | Manager underperformed benchmark | Common (median active manager) |
| 0 - 0.25 | Marginal positive value | Solid for diversified benchmark-relative strategies |
| 0.25 - 0.50 | Good active management | 75th percentile |
| 0.50 - 1.0 | Strong active management | 90th percentile |
| 1.0 - 2.0 | Exceptional | Top 5% of active managers |
| > 2.0 | Likely unsustainable or unmodeled factor | Rare; investigate sources |
The thresholds depend on the benchmark and tracking error. A market-neutral hedge fund with 5% tracking error and 4% active return has IR of 0.8 (excellent for that strategy). A large-cap mutual fund with 1% tracking error and 0.7% active return has IR of 0.7 (excellent for that constraint).
The Fundamental Law of Active Management
[!key] Grinold's Fundamental Law of Active Management decomposes IR into two components: IR ≈ IC × √Breadth. Information Coefficient (IC) is the correlation between the manager's forecasts and subsequent outcomes - pure skill. Breadth is the number of independent investment decisions made per year. The decomposition explains a structural feature of investment management: systematic strategies with many decisions (e.g., quantitative equity with thousands of position decisions annually) can achieve higher IR than concentrated discretionary strategies with few decisions, even if the individual skill (IC) is lower for the systematic approach.
A discretionary stock-picker with IC of 0.10 and 30 independent decisions per year achieves IR of 0.10 × √30 ≈ 0.55. A quantitative manager with IC of only 0.04 but 1,000 independent decisions per year achieves IR of 0.04 × √1,000 ≈ 1.26. The systematic manager's lower per-decision skill is more than compensated by the breadth of decisions.
This framework explains why systematic strategies have proliferated in active management. Decision breadth is a multiplier on whatever skill exists; for managers with modest skill but operational ability to deploy many independent decisions, the math favours systematic approaches.
IR vs Sharpe Ratio
| Aspect | Sharpe Ratio | Information Ratio |
|---|---|---|
| Reference | Risk-free rate | Specified benchmark |
| Numerator | Excess return over R_f | Active return vs benchmark |
| Denominator | Total volatility | Tracking error |
| When to use | Total return mandates, absolute return strategies | Benchmark-constrained, relative-return strategies |
| Hedge fund evaluation | Standard measure | Sometimes more relevant if HF has explicit benchmark |
| Mutual fund evaluation | Less appropriate | More appropriate |
For a fundamental long-short hedge fund without specific benchmark, Sharpe is the standard metric. For a large-cap equity mutual fund benchmarked against the S&P 500, IR is more meaningful. Many sophisticated allocators look at both.
Common Misconceptions
"Higher IR is always better." Within a strategy and benchmark, yes. Across strategies with different benchmarks, no. A 0.7 IR market-neutral strategy may produce a different absolute return than a 0.7 IR active equity strategy. IR is comparable within categories, less comparable across them.
"IR captures all of skill." Specifically, it captures skill within the manager's benchmark-relative tracking-error budget. A manager who happens to have factor exposures that match the benchmark's factor profile may have an artificially low IR despite genuine skill in less-modelled dimensions.
"Tracking error should always be minimised." False. Lower tracking error means closer to benchmark, which (for active management) means less active value-add. The relevant question is whether tracking error is being used productively (high IR) or unproductively (low IR). A 1% tracking error producing 0.5% active return is more valuable than 5% tracking error producing 1% active return.
Applying the Fundamental Law
Consider two managers with apparently similar IR of 0.8:
| Manager | Information Coefficient (IC) | Independent decisions/year (breadth) | Calculated IR (IC × √breadth) |
|---|---|---|---|
| Discretionary stock-picker | 0.20 (skilled) | 16 (concentrated 50-stock portfolio rebalanced 4x/yr) | 0.80 |
| Quantitative manager | 0.05 (modest) | 256 (broad universe, daily rebalancing) | 0.80 |
Both deliver IR 0.8 but through very different mechanisms. The discretionary manager requires high per-decision skill to compensate for limited breadth. The quantitative manager requires only modest per-decision skill, compensated by large breadth.
The institutional implications:
- High-IC strategies are vulnerable to skill loss (key person, regime shift, edge erosion)
- High-breadth strategies are vulnerable to capacity limits (alpha decays as AUM grows)
- The right manager depends on which characteristic the institution values
The Persistence Question
Information Ratio persistence is empirically weak. A meta-analysis of active equity managers shows:
- Top-quartile IR managers have ~30-35% probability of remaining top-quartile next year (vs 25% if random)
- Top-decile IR managers have ~15-20% probability of remaining top-decile (vs 10% if random)
- 5-year persistence is meaningful but small; 10-year persistence approaches random
The implication: past IR is informative about future IR but only modestly. Mechanical selection of past winners produces only modest improvement over random selection. Sophisticated manager research combines historical IR with process due diligence and forward-looking assessment of competitive position.
References
- Bodie, Z., Kane, A., & Marcus, A. J. (2021). Investments (12th ed.). McGraw-Hill.
- Sharpe, W. F. (1994). The Sharpe Ratio. Journal of Portfolio Management, 21(1).
- CFA Institute. Portfolio Management: Performance Evaluation. CFA Program Curriculum.
Frequently asked questions
How is Information Ratio different from Sharpe Ratio?
Sharpe Ratio uses the risk-free rate as the reference and total volatility as the denominator. Information Ratio uses a benchmark return as the reference and tracking error (volatility of portfolio minus benchmark) as the denominator. IR is more appropriate when the relevant comparison is active management vs a specific benchmark; Sharpe is more appropriate when the absolute risk-return trade-off matters.
What is tracking error?
The standard deviation of the difference between portfolio return and benchmark return. A low-tracking-error portfolio (e.g., index fund with 0.05% tracking error) hugs the benchmark; a high-tracking-error portfolio (e.g., concentrated active fund with 5%+ tracking error) takes substantial active positions. IR is excess return per unit of tracking error.
What is a typical Information Ratio for active managers?
Empirically, the median active manager has IR near zero (matches benchmark with no consistent excess return). The 75th percentile is around 0.3; the 90th percentile around 0.6; persistent IR above 0.75 is unusual and signals either genuine skill or factor exposure that wasn't filtered out of the benchmark.
What is the Fundamental Law of Active Management?
Richard Grinold's 1989 framework decomposing IR as: IR = IC × √Breadth. IC (Information Coefficient) is the correlation of the manager's forecasts to outcomes — a measure of skill. Breadth is the number of independent investment decisions per year. The framework explains why systematic strategies with many small bets (e.g., quantitative equity with thousands of position decisions annually) often achieve higher IR than concentrated discretionary strategies with few bets.
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