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Use active return when the question is how a manager performed against a suitable benchmark. Use the Sharpe ratio when the question is how much return above a risk-free rate came with the portfolio’s total volatility. For a CAIA® Level I comparison, calculate the measure that matches the question, then check whether the benchmark and return period make the comparison meaningful.
The two measures have different reference points
Active return is the portfolio return less the benchmark return. A positive value says only that the manager exceeded that particular reference over the measured period. It does not show which decisions produced the difference or how variable the active returns were. Attribution asks a further question: whether allocation, selection or other exposures explain the result.
The Sharpe ratio compares return above a risk-free rate with total return volatility. CFA Institute’s performance measurement explanation gives the standard ratio and distinguishes it from a benchmark-relative information ratio. CAIA Association’s performance evaluation discussion likewise stresses that the chosen objective changes the interpretation of a result.
One illustrative manager comparison
Assume an invented, consistently annualised dataset: a manager’s average return is 12%, the relevant benchmark return is 9%, the average risk-free return is 2%, and the manager’s return standard deviation is 20%. These numbers are illustrative, not observed performance. Substituting them gives an active return of 3 percentage points and a Sharpe ratio of 0.50.
The active return answers whether this manager exceeded the selected benchmark. The Sharpe ratio answers a different question about return relative to total volatility. A positive active return cannot establish skill: a mismatched benchmark, a short sample or a concentrated risk exposure can change the reading. The ratio also cannot identify the decision responsible for the return, and standard deviation treats favourable and unfavourable deviations alike.
What candidates misread
Do not describe 0.50 as “outperformance of the benchmark”. The benchmark never enters the Sharpe calculation. Do not treat 3 percentage points of active return as risk adjusted either. If the question asks for active return per unit of benchmark-relative variability, the missing denominator is tracking error and the measure is the information ratio, not the Sharpe ratio.
CAIA Association lists Measures of Risk and Performance in its Level I curriculum overview. The CAIA programme page gives qualification context, and Omni’s methodology explains its study approach. In revision, name the reference point before choosing a formula.
Sources
- Explore the Curriculum - Chartered Alternative Investment Analyst Association · caia.org · Retrieved
- Performance Evaluation: More Questions than Answers - Chartered Alternative Investment Analyst Association · caia.org · Retrieved
- The Sharpe Ratio and the Information Ratio · rpc.cfainstitute.org · Retrieved
