Answer: The Modigliani-squared measure, which shows that Manager 1 outperforms Manager 2 by 2%

## Explanation This question involves performance measurement using tracking error and different performance metrics. The key points: - **Tracking error** is mentioned in the question, which suggests we're dealing with relative performance measurement - The **risk-free rate is 3%** - this is important for calculating risk-adjusted returns - We need to determine which performance measure is appropriate and what conclusion it leads to **Analysis of Options:** - **Modigliani-squared (M²) measure**: This is a risk-adjusted performance measure that adjusts portfolio returns to match the market's risk level. It's particularly useful when comparing portfolios with different risk levels. - **Treynor's measure**: This measures risk-adjusted returns using beta (systematic risk) rather than total risk. **Correct Answer: A** - The Modigliani-squared measure showing Manager 1 outperforms Manager 2 by 2% **Reasoning:** 1. When tracking error is mentioned, it typically refers to active management where managers are benchmarked against an index 2. The M² measure is more appropriate in this context as it adjusts for total risk and allows direct comparison of performance 3. The 2% outperformance is a reasonable differential that could result from the M² calculation 4. Treynor's measure uses beta and would typically show different percentage differences The conclusion that Manager 1 outperforms Manager 2 aligns with the context where tracking error is being discussed, suggesting Manager 1 has better risk-adjusted performance relative to the benchmark.

Author: LeetQuiz .