Active return is the return of a portfolio minus the return of its benchmark over the same period.
Active Return = Portfolio Return - Benchmark Return
If a portfolio returns 11% while its benchmark returns 8%, the portfolio's active return is +3 percentage points. If the portfolio returns 5% against an 8% benchmark, active return is -3 percentage points.
Active return is benchmark-relative
The benchmark is part of the definition. A portfolio can post a positive absolute return and still have a negative active return if its benchmark performed better.
That makes active return fundamentally different from total return. It asks whether the portfolio added value relative to a chosen passive alternative, not merely whether the portfolio made money.
Benchmark choice therefore matters. A benchmark that does not reflect the manager's opportunity set or mandate can make active-return analysis misleading.
Relationship to active weights
Active managers differ from a benchmark through active weights: the portfolio weight in an asset minus the benchmark weight in that asset.
An overweight position has a positive active weight, while an underweight position has a negative active weight. In a fully invested long-only portfolio measured against a fully invested benchmark, active weights sum to zero.
Positive active return arises when those benchmark-relative position choices are rewarded in aggregate. A large deviation from benchmark weights does not guarantee a positive outcome.
Active return versus alpha
Active return is not the same as Alpha or Jensen's Alpha.
Active return is a direct arithmetic difference from a benchmark. Alpha usually refers to return unexplained by a specified risk model. A portfolio can beat its benchmark yet have little or negative model-based alpha if the outperformance came from taking compensated systematic risk.
The distinction depends on the question being asked: benchmark-relative value added versus risk-model-adjusted value added.
Relationship to tracking error and information ratio
A sequence of active returns can be used to calculate Tracking Error, the standard deviation of active returns.
The Information Ratio then relates mean active return to that active risk:
Information Ratio = Mean Active Return / Tracking Error
A manager producing 2% average active return with 8% tracking error and one producing 2% with 2% tracking error have the same average benchmark-relative return but very different information ratios.
Ex ante versus ex post active return
An expected active return is an ex ante forecast. A realized active return is an ex post observation.
Confusing the two can turn a portfolio-construction assumption into a claim about demonstrated skill. The Fundamental Law of Active Management is primarily an ex ante framework for linking forecasting skill and implementation to expected benchmark-relative value added.
What active return cannot establish
A positive active return over one period does not prove skill. It can result from luck, unintended factor exposure, benchmark mismatch, concentration, leverage, or a temporary market regime.
Likewise, a negative active return does not by itself prove that an investment process is invalid. Evaluating active management usually requires a longer sample, a suitable benchmark, risk context, costs, and evidence that the process is repeatable.
Sources
- CFA Institute, Analysis of Active Portfolio Management, 2026
- CFA Institute, Using Multifactor Models, 2026
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