Information Ratio Calculator
Information Ratio Calculator
Measure how much active return a portfolio generated for each unit of tracking error relative to its benchmark.
Portfolio assumptions
Live results
Positive active return, but modest relative to tracking error.
Return comparison
The portfolio outperformed the benchmark by 2.00 percentage points.
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Calculation detail
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What does the information ratio estimate?
The information ratio, often abbreviated IR, evaluates active performance relative to a benchmark. It divides excess return by tracking error, so it answers a practical question: how much benchmark-relative return was earned for each unit of benchmark-relative variability? A positive ratio means the portfolio beat its benchmark over the measurement period. A negative ratio means it lagged. A larger positive value indicates that active return was high relative to the variability of that active return.
The metric is most useful when the portfolio and benchmark are genuinely comparable and when return and tracking-error figures cover the same frequency and horizon. The U.S. Securities and Exchange Commission explains the role of market indexes and index funds in benchmark-based investing on Investor.gov. For a broader technical discussion of performance evaluation, see the CFA Institute.
How should each input be entered?
Beginning portfolio value
Enter the portfolio’s market value at the start of the evaluation period in U.S. dollars. It is required and must be greater than zero because the return formula divides by this value. A higher beginning value does not by itself improve the percentage return; it changes the dollar scale of the gain or loss. A common mistake is mixing a value measured before a large contribution with an ending value measured after that contribution. This simple calculator assumes the beginning and ending values already represent a consistent return measurement.
Ending portfolio value
Enter the market value at the end of the same period. It may be above, equal to, or below the beginning value. Raising this input increases portfolio return, excess return, and the information ratio, all else equal. If the portfolio paid distributions or received cash flows, use values or a separately calculated return that treats those flows correctly rather than interpreting a raw balance change as investment performance.
Benchmark return
Enter the total return of the relevant benchmark as a percentage. The benchmark should match the portfolio’s asset class, geography, style, and period as closely as practical. Increasing the benchmark return lowers excess return and the information ratio. Using a mismatched benchmark can make the result look artificially strong or weak. Benchmark return can be negative, but it must use the same period as the portfolio return.
Tracking error
Tracking error is the standard deviation of active returns: portfolio return minus benchmark return, usually calculated from a series of periodic observations and often annualized. Enter it as a positive percentage. A higher tracking error reduces the information ratio because the same excess return was achieved with less consistency. Zero tracking error makes the ratio undefined, so the calculator shows no finite IR in that case. Investor.gov provides a concise explanation of standard deviation, while Investopedia gives additional background on the information ratio.
How does the calculation work?
Portfolio return = (ending value − beginning value) ÷ beginning value Excess return = portfolio return − benchmark return Information ratio = excess return ÷ tracking errorAll percentage calculations use decimal values internally. For example, a 10% portfolio return, an 8% benchmark return, and 5% tracking error produce a 2% excess return and an information ratio of 0.40. The ratio itself has no percent sign because it is one percentage divided by another.
How should the outputs be interpreted?
Portfolio return is the percentage change between the beginning and ending portfolio values. A positive result indicates growth; zero indicates no change; and a negative result indicates a decline. Excess return is the portfolio return less the benchmark return. It is positive when the portfolio outperforms and negative when it underperforms.
Active gain or loss translates excess return into dollars using the beginning portfolio value. It shows the approximate dollar difference between the portfolio’s ending value and the ending value implied by the benchmark return, under this simplified no-cash-flow setup. Ending value difference is the raw dollar change from beginning to ending value, not a benchmark-relative measure.
Information ratio scales excess return by tracking error. A ratio near zero indicates little active return relative to active variability. A positive value indicates benchmark outperformance; a negative value indicates underperformance. There is no universal cutoff that fits every strategy, period, or market. Use the ratio alongside absolute return, drawdown, fees, holdings, and the appropriateness of the benchmark rather than treating it as a standalone verdict.
How should the chart and calculation table be used?
The return comparison chart places portfolio return, benchmark return, and excess return on one percentage scale. Bars extending above zero represent positive returns, while bars below zero represent negative values. The populated legend and chart data table repeat the exact figures represented by the bars. The calculation-detail table then shows the three linked steps: portfolio return, excess return, and information ratio.
Scenario analysis is especially useful. Increasing ending value raises the active return. Increasing benchmark return reduces it. Increasing tracking error lowers the ratio without changing the underlying return difference. Reset clears the assumptions and removes the chart until valid, drawable data is entered again. Download Excel creates a workbook from the current state, making it easier to document assumptions and compare alternative cases.
What are the main limitations and common mistakes?
- Do not compare a monthly portfolio return with an annual benchmark return or annualized tracking error unless all components have been converted consistently.
- Do not calculate performance from raw beginning and ending balances when deposits, withdrawals, fees, or distributions materially affected the balance.
- Do not select a benchmark merely because it is familiar; select one that represents the portfolio’s investable opportunity set and risk exposure.
- Do not interpret a high ratio from a very short sample as proof of persistent skill. Tracking error and active return estimates can be unstable with limited data.
- Do not use the information ratio as personalized investment advice. It is a descriptive performance metric, not a forecast or recommendation.