Information Ratio: Is Active Return Worth the Tracking Error?

Information Ratio: Is Active Return Worth the Tracking Error?

Beating a benchmark is only half of an active strategy's story. The other half is how unevenly that outperformance arrived. The information ratio compares average active return with tracking error, showing how much benchmark-relative return was earned for each unit of benchmark-relative variability.

বাংলায় পড়ুন: Information Ratio: Active Return কি Tracking Error-এর যোগ্য?

Learning objective: select a defensible benchmark, calculate active return, tracking error and an information ratio, then recognise the sample and interpretation problems hidden by one number.

1. Start with the benchmark

An information ratio is meaningless without a benchmark. The benchmark should represent the passive opportunity or policy portfolio the active process is genuinely trying to improve.

A useful benchmark is:

• specified before performance is observed;
• investable or realistically replicable;
• aligned with the strategy's asset class, currency and mandate;
• measured with the same return convention and dates;
• difficult for the manager to change after a weak period.

A UK smaller-company strategy compared with the S&P 500 mixes security selection with country, currency and size exposure. A cash benchmark for an equity portfolio answers a different question from an equity index benchmark. The ratio can look impressive simply because the benchmark was easy or mismatched.

2. Calculate active return for every period

For each month, week or day:

Active return = portfolio return − benchmark return

If the portfolio returns 1.4% in a month and the benchmark returns 1.0%, active return is +0.4%. If the portfolio loses 2.0% while the benchmark loses 3.0%, active return is +1.0% even though the account lost money.

This distinction is essential: positive active return means relative outperformance, not necessarily a positive absolute return.

Use total returns for both sides. If the portfolio includes dividends after fees but the benchmark is a price index without dividends or costs, the comparison is distorted.

3. Tracking error is active-risk volatility

Tracking error is the standard deviation of the periodic active returns, usually annualised:

Tracking error = standard deviation of active returns × √periods per year

For monthly data, the common annualisation factor is √12; for weekly data, approximately √52. This scaling assumes observations behave sufficiently like independent, stable returns. Autocorrelation and changing regimes can make the estimate less reliable.

CFA Institute defines active risk as the standard deviation of active returns and notes that it is also called tracking error or tracking risk.

Low tracking error means the portfolio usually stays close to the benchmark. It does not mean low absolute risk: both portfolio and benchmark can fall sharply together.

4. The information-ratio formula

The common active-return version is:

Information ratio = annualised mean active return ÷ annualised tracking error

CFA Institute's performance-measurement note defines the ratio as mean excess return relative to the benchmark divided by the variability of that excess return. It also warns that another version uses residual return and residual risk; users should state which definition is being used.

A positive ratio means the sample's average active return was positive. A negative ratio means the strategy underperformed on average. A larger positive number indicates more active return per unit of historical tracking error, but it is not a probability of future outperformance.

5. Worked 12-month example

Suppose a hypothetical strategy produced these monthly active returns, in percentage points:

+1.0, −0.4, +0.8, +0.2, −0.6, +1.2, +0.1, −0.3, +0.7, +0.5, −0.2, +0.6

Their sum is +3.6 percentage points and their monthly arithmetic mean is:

Mean monthly active return = 3.6% ÷ 12 = 0.30%

A simple annualised arithmetic estimate is:

Annualised active return = 0.30% × 12 = 3.60%

The sample standard deviation of the 12 monthly active returns is approximately 0.588%. Annualised tracking error is:

Tracking error = 0.588% × √12 ≈ 2.04%

Therefore:

Information ratio = 3.60% ÷ 2.04% ≈ 1.76

That looks strong, but 12 months is a very small sample. One +1.2% month materially affects the result, and no crisis may be represented. The correct conclusion is the historical calculation, not a claim that the process has a persistent 1.76 ratio.

6. Why the same outperformance can score differently

Consider two hypothetical strategies over the same dates:

Strategy	Annualised active return	Tracking error	Information ratio
A	4.0%	8.0%	0.50
B	2.5%	2.5%	1.00

Strategy A added more return, but it deviated from the benchmark much more. Strategy B converted active risk into active return more efficiently in this sample.

The choice depends on the mandate. An investor may prefer the higher active return, the steadier relative path or neither. The information ratio organises the trade-off; it does not make the decision.

7. Separate total risk from active risk

The Sharpe ratio and information ratio answer different questions:

• Sharpe ratio: excess return above a risk-free reference per unit of total return volatility.
• Information ratio: return above a chosen benchmark per unit of active-return volatility.

A benchmark-hugging equity fund can have low tracking error and a high information ratio while retaining almost all of the market's absolute downside. Conversely, a market-neutral strategy may have low market beta but a poor information ratio against an unsuitable equity index.

For total and downside-risk measures, see the Sharpe versus Sortino guide.

8. Fees and implementation must match

State whether portfolio return is gross or net of:

• management and performance fees;
• commission and bid–ask spread;
• market impact;
• financing and borrow costs;
• withholding tax and other unavoidable charges.

The benchmark may be frictionless while the portfolio is tradable only at a cost. A gross information ratio can overstate what the investor receives. Calculate a net version and keep the benchmark convention consistent.

9. Look beneath the ratio

Decompose active return by:

• market, sector and country allocation;
• security selection;
• size, value, momentum, quality and other factor exposure;
• currency position;
• timing and cash;
• fees and execution.

A high ratio may come from an unintended factor tilt rather than repeatable selection skill. CFA Institute notes that active risk can be separated into active factor risk and active specific risk. The decision-attribution tutorial provides a related framework for signal, sizing, execution and exit decisions.

10. The estimate is noisy

Historical information ratios can change sharply with:

• the start and end date;
• monthly versus daily observations;
• one exceptional winner or loss;
• changing benchmark composition;
• serial correlation or smoothed valuations;
• a strategy's changing exposure;
• selection of the best strategy from many tested variants.

Calculate rolling equal-length windows and show the distribution, not only the full-period figure. Use confidence intervals or resampling where appropriate. If many strategies were tested, correct expectations for selection bias rather than treating the winner's backtest as pre-specified.

11. A practical review process

1. Write the mandate and benchmark before examining results.
2. Gather aligned total-return observations in the same currency.
3. Subtract benchmark return from portfolio return each period.
4. Check missing dates, cash flows and valuation frequency.
5. Calculate mean active return and tracking error.
6. Annualise both with the same periodicity assumptions.
7. Divide active return by tracking error and disclose the formula.
8. Repeat gross and net of fees and costs.
9. Review rolling windows, drawdowns and factor attribution.
10. Compare only strategies with compatible mandates and benchmarks.

Common mistakes

1. Choosing the benchmark after seeing performance.
2. Comparing a total-return portfolio with a price-only index.
3. Calling positive active return a positive account return.
4. Confusing tracking error with tracking difference.
5. Treating low active risk as low absolute risk.
6. Mixing daily active return with monthly annualisation.
7. Reporting gross returns against a frictionless benchmark without a net view.
8. Trusting a high ratio from a short sample.
9. Ignoring factor, currency or leverage differences.
10. Assuming historical information ratio persists.

Information-ratio checklist

• Benchmark pre-specified and mandate-consistent?
• Same currency, dates and total-return convention?
• Portfolio and benchmark observations aligned?
• Active-return formula stated?
• Tracking-error frequency and annualisation stated?
• Gross and net results shown?
• Absolute risk and drawdown reviewed separately?
• Factor and decision attribution examined?
• Rolling windows and sample uncertainty shown?
• Multiple-testing and survivorship bias considered?

The Money Man View

The information ratio is valuable because it charges an active strategy for every deviation from its benchmark. Its biggest weakness is also the benchmark: a poor choice can make the number answer the wrong question precisely. We choose the benchmark first, calculate net active returns and then inspect the bets behind the ratio before calling the outcome skill.

Educational risk disclosure

This tutorial uses simplified hypothetical figures and was prepared with AI-assisted research and writing under The Money Man editorial workflow. It is educational information, not personalised investment advice or a recommendation to select a manager or strategy. Historical active return and tracking error may not persist, benchmarks can be imperfect and investing can cause substantial loss.