π Information Ratio Calculator
Outperformance per unit of active risk.
Information ratio
Estimates for planning only, not financial advice.
The information ratio divides active return by tracking error to show how consistently a manager beats the benchmark. With a 12% portfolio return against a 10% benchmark and 4% tracking error, the active return is 2.00% and the information ratio is 0.50. Around 0.5 is solid; 1.0 is exceptional.
How to Use This Calculator
Enter the portfolio return, the benchmark return, and the tracking error (the standard deviation of the active returns), all annualized over the same period.
Enter portfolio and benchmark returns for the same period.
Enter tracking error as an annualized percent.
Read the ratio. For risk-adjusted return against CAPM instead, see Jensen's alpha.
The Information Ratio Formula
The numerator is value added; the denominator is the active risk taken to add it. A manager who beats the benchmark by 2% with 4% tracking error (IR 0.5) did it more reliably than one who beats it by 4% with 12% tracking error (IR 0.33), even though the second headline looks better. The ratio is essentially a Sharpe ratio for active management, and it is the statistic institutional allocators actually use to rank managers.
Worked Example
Portfolio 12%, benchmark 10%, tracking error 4%. Active return = 2.00%, IR = 0.50. Now compare two managers: Manager A adds 3% with 6% tracking error (IR 0.5); Manager B adds 5% with 15% tracking error (IR 0.33). B's headline wins, but A's process is more reliable, and over a decade A's steadier compounding usually ends ahead. The fundamental law of active management says IR roughly equals skill times the square root of breadth, so consistent small edges beat occasional big bets.
What the Ratio Rewards
Consistency over magnitude. Closet indexers show tiny tracking error and tiny active return, giving noisy ratios near zero. Concentrated bettors show big swings and usually mediocre ratios. The best IRs come from diversified, repeatable processes: many small independent bets, each slightly positive. Watch the measurement window, though; three years of data gives a wobbly ratio, and a manager can game it by hugging the benchmark after a lucky year.
My rule: demand five years minimum and an IR above 0.5 net of fees before paying active fees. Below that, the evidence does not cover the cost, and the index fund wins by default. For your own portfolio math, our compound interest calculator shows what steady returns build over time.
Estimates for planning only, not financial advice.
Frequently Asked Questions
What is the information ratio?
Active return divided by tracking error: (Rp - Rb) / tracking error. It measures how much value a manager adds per unit of active risk, rewarding consistent outperformance over lucky swings.
What is a good information ratio?
Around 0.5 is good, 0.75 very good, and 1.0 exceptional over long periods. Top-quartile managers sustain roughly 0.5. Anything persistently above 1.0 deserves deep due diligence, and skepticism.
What is tracking error?
The annualized standard deviation of a portfolio's active returns versus its benchmark. It measures how far the manager strays, not whether the straying paid off. High tracking error with no active return is just noise you paid for.
Information ratio vs Sharpe ratio?
The Sharpe ratio measures excess return over the risk-free rate per unit of total risk. The information ratio measures active return over the benchmark per unit of active risk. Sharpe judges the portfolio; IR judges the manager.
Can the information ratio be negative?
Yes, when the portfolio trails its benchmark. A negative IR means the active risk hurt. Persistent negative IR is the signal to fire the manager or buy the index.
How long a track record is needed?
Five years minimum for a meaningful ratio; ten is better. Short windows let luck dominate, and the statistical confidence around a three-year IR is too wide to act on.
Does a high IR guarantee future outperformance?
No. The fundamental law links IR to skill and breadth, but regimes change, teams turn over, and assets bloat. Treat a high IR as evidence, not a promise, and keep monitoring.
Why do institutions prefer IR over raw returns?
Because raw returns do not separate skill from risk. Two managers can post identical returns with wildly different consistency, and only the IR reveals which process is repeatable. Hiring follows the ratio.
What IR do top hedge funds achieve?
Sustained IRs above 1.0 are extraordinarily rare; most celebrated funds sit between 0.5 and 1.0 over long stretches. Claims far above that usually signal short windows, survivorship effects, or hidden tail risk.
Can a passive fund have an information ratio?
Near zero by design: index funds hug the benchmark, so active return and tracking error are both tiny and the ratio is noise. IR is a tool for judging active managers, not passive ones.
Is the information ratio annualized?
Yes, both the active return and the tracking error should be annualized before dividing. Mixing monthly active return with annual tracking error is a common spreadsheet error that inflates the ratio.