Return Data

Enter as percentage (e.g., 3 for 3%)

Period Portfolio (%) Benchmark (%) Active
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Information Ratio Formula
IR = Mean(Rp − Rb) / StdDev(Rp − Rb)
Rp = Portfolio return | Rb = Benchmark return | IR = Information ratio
Ryan O'Connell, CFA
Calculator by Ryan O'Connell, CFA

Information Ratio Results

Information Ratio (Annualized) — —
IR (Per Period) —
Mean Active Return (Ann.) —
Tracking Error (Ann.) —
Periods —
Best Active —
Worst Active —
Hit Rate —

Formula Breakdown

IR = Mean Active Return / Tracking Error
Annualized using √(periods per year) scaling

Interpretation Guide

IR Range Rating Interpretation
≥ 0.50 Good Strong active management skill
0.25 – 0.50 Acceptable Meaningful active return for risk taken
0.00 – 0.25 Weak Minimal active return per unit tracking error
< 0.00 Negative Portfolio underperformed benchmark on risk-adjusted basis
Model Assumptions
  • Returns are independent across periods (required for √T annualization)
  • Sample standard deviation used for tracking error (n−1 divisor)
  • Portfolio and benchmark returns measured over identical time periods
  • No distinction between arithmetic and geometric linking of returns
  • Assumes benchmark is appropriate and representative for the portfolio

For educational purposes. Not financial advice. Market conventions simplified.

Understanding the Information Ratio

Video Explanation

Video: Information Ratio Explained

What is the Information Ratio?

The information ratio (IR) measures a portfolio manager's ability to generate excess returns relative to a benchmark, adjusted for the consistency of that outperformance. It is the ratio of mean active return (average alpha) to tracking error (standard deviation of active returns).

A higher information ratio indicates that a manager consistently adds value above the benchmark without taking excessive active risk. It is one of the most widely used metrics in institutional active management evaluation.

Information Ratio Formula
IR = Mean(Rp − Rb) / StdDev(Rp − Rb)
= Mean Active Return / Tracking Error

Academic vs. Practitioner Definition

Bodie, Kane, and Marcus (BKM Chapter 8, Section 8.5) define the information ratio in the single-index model as α/σ(e) — regression alpha divided by residual standard deviation. This is sometimes called the appraisal ratio.

The practitioner version used in this calculator — Mean(Rp − Rb) / StdDev(Rp − Rb) — converges with the academic definition when the portfolio beta relative to the benchmark is approximately 1 and the benchmark proxies the market index. BKM footnote 14 (Ch 8) acknowledges this terminology varies across sources.

Information Ratio vs. Sharpe Ratio

Information Ratio

Benchmark-relative
Measures excess return over a benchmark per unit of tracking error. Used to evaluate active management skill.

Sharpe Ratio

Risk-free relative
Measures excess return over the risk-free rate per unit of total volatility. Used for overall portfolio evaluation.

Use the Sharpe Ratio Calculator when evaluating a portfolio's total risk-adjusted performance, and this Information Ratio Calculator when assessing a manager's skill at beating a specific benchmark.

Practical Applications

  • Manager selection: Compare IR across fund managers with similar mandates
  • Performance attribution: Separate skill (high IR) from luck or beta exposure
  • Risk budgeting: Allocate active risk to managers with higher expected IRs
  • Mandate monitoring: Track IR over rolling windows to detect skill decay
Standalone vs. Comprehensive Analysis: This calculator focuses on computing the information ratio from manually entered return data. For broader portfolio analytics from uploaded CSV/XLS files (including Sharpe, Sortino, Treynor, and more), see the Portfolio Performance Measurement tool.

Limitations

  • Assumes returns are normally distributed and independently distributed across periods
  • The √T annualization breaks down if returns exhibit serial correlation
  • Short measurement windows produce noisy estimates — 36+ monthly observations are recommended
  • Does not distinguish between upside and downside tracking error
  • Benchmark choice matters: an inappropriate benchmark inflates or deflates the IR

For related performance metrics, see Information Ratio and Jensen's Alpha.

Frequently Asked Questions

The information ratio (IR) measures a portfolio manager's ability to generate excess returns relative to a benchmark, adjusted for the risk of deviating from that benchmark. It is calculated as the mean active return (portfolio return minus benchmark return) divided by the tracking error (standard deviation of active returns). Institutional investors use the IR to evaluate and compare active managers, allocate risk budgets, and monitor ongoing performance.

The Sharpe ratio measures excess return over the risk-free rate per unit of total portfolio volatility, while the information ratio measures excess return over a benchmark per unit of tracking error (active risk). The Sharpe ratio evaluates absolute risk-adjusted performance, whereas the information ratio evaluates relative performance against a specific benchmark. Use the Sharpe ratio for overall portfolio evaluation and the IR for assessing active management skill.

An information ratio above 0.50 is generally considered good, indicating meaningful skill in active management. Ratios between 0.25 and 0.50 are acceptable, while ratios below 0.25 suggest minimal active return per unit of tracking error. An IR above 1.0 over sustained periods is exceptional and rare. Interpretation depends on context: the benchmark chosen, the investment mandate, measurement horizon, and market conditions all matter.

Tracking error is the standard deviation of active returns (portfolio returns minus benchmark returns). It measures how much a portfolio's returns deviate from its benchmark. The information ratio uses tracking error as its denominator: IR = Mean Active Return / Tracking Error. A low tracking error means the portfolio closely follows the benchmark, while a high tracking error indicates significant deviation. Tracking error is a key input for risk budgeting in institutional portfolio management.

To annualize the information ratio, multiply the per-period IR by the square root of the number of periods per year. For monthly data: IRannual = IRmonthly × √12. This assumes returns are independently and identically distributed (IID) across periods. The mean active return is annualized by multiplying by the number of periods per year, while tracking error is annualized by multiplying by the square root of periods per year.

Yes, the information ratio can be negative. A negative IR means the portfolio underperformed its benchmark on average over the measurement period, indicating that active management decisions detracted from performance. While undesirable, a negative IR is a valid and common result, especially over shorter time periods, in challenging market environments, or when a manager's style is temporarily out of favor.
Disclaimer

This calculator is for educational purposes only. The information ratio is computed using the ex-post arithmetic practitioner method with sample standard deviation. Actual portfolio evaluation involves additional factors including benchmark appropriateness, statistical significance, style drift, and survivorship bias. This tool should not be the sole basis for investment decisions.

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Course by Ryan O'Connell, CFA, FRM

Portfolio Analytics & Risk Management Course

Master portfolio theory and risk management from fundamentals to advanced analytics. Covers modern portfolio theory, risk metrics, performance evaluation, and factor models.

  • Sharpe, Sortino, Treynor & Information Ratio deep dives
  • Modern Portfolio Theory and efficient frontier construction
  • Factor models including CAPM and Fama-French
  • Hands-on exercises with real portfolio data
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