**Investment Performance Measurement & Attribution

This lesson dives deep into the crucial aspects of investment performance measurement and attribution. You will learn how to accurately assess portfolio performance, understand the drivers of returns, and identify the contributions of various investment decisions.

Learning Objectives

  • Calculate and interpret key performance metrics like Sharpe ratio, Treynor ratio, and Information ratio.
  • Decompose portfolio returns using a performance attribution framework, understanding the impact of asset allocation, security selection, and market timing.
  • Analyze the strengths and limitations of different performance attribution models.
  • Evaluate and interpret performance reports, identifying areas for improvement and future investment strategy adjustments.

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Lesson Content

Performance Measurement Fundamentals

Accurate performance measurement is fundamental to understanding investment success. We will explore key metrics that go beyond simple return, accounting for risk. These include:

  • Sharpe Ratio: Measures risk-adjusted return, calculated as (Portfolio Return - Risk-Free Rate) / Portfolio Standard Deviation. A higher Sharpe ratio indicates better risk-adjusted performance. Example: If a portfolio has an annual return of 15%, the risk-free rate is 3%, and the standard deviation is 10%, the Sharpe ratio is (15% - 3%) / 10% = 1.2. This suggests a good risk-adjusted return.
  • Treynor Ratio: Similar to the Sharpe ratio but uses beta (systematic risk) instead of standard deviation. Calculated as (Portfolio Return - Risk-Free Rate) / Portfolio Beta. Example: If the portfolio in the previous example has a beta of 1.2, its Treynor ratio would be (15% - 3%) / 1.2 = 10%. This measures the portfolio's excess return per unit of systematic risk.
  • Information Ratio: Measures the excess return of a portfolio relative to a benchmark, divided by the tracking error (the standard deviation of the portfolio's excess returns relative to the benchmark). Calculated as (Portfolio Return - Benchmark Return) / Tracking Error. A high information ratio indicates consistent outperformance relative to a benchmark. Example: If a portfolio's return is 10%, a benchmark's return is 8%, and the tracking error is 3%, the Information Ratio is (10% - 8%) / 3% = 0.67. This shows the portfolio is generating more return than the benchmark on a risk adjusted basis.

Performance Attribution Models: Decomposing Returns

Performance attribution helps us understand why a portfolio performed the way it did. This involves breaking down portfolio returns into the contributions of various investment decisions. We will look at:

  • Brinson Model (Asset Allocation Effect, Selection Effect, Interaction Effect): This is a popular model.
    • Asset Allocation Effect: The impact of the portfolio's strategic allocation to different asset classes (e.g., stocks, bonds, real estate) compared to the benchmark's allocation. If you over-weight an asset class that outperformed its benchmark and vice-versa, then you have generated return through this effect.
    • Security Selection Effect: The impact of choosing specific securities within each asset class. Did the portfolio manager choose the "right" stocks or bonds? If a portfolio manager chooses to overweight a specific security that outperforms its benchmark, the manager generates returns through this effect.
    • Interaction Effect: Captures the interaction between asset allocation and security selection. This is often the least significant effect.
  • Factor-Based Attribution: Explains performance using a multi-factor model. This approach identifies the contributions of factors like market, style, industry, and macroeconomic variables. Example: A portfolio's performance can be attributed to factors such as value vs. growth, small cap vs. large cap, and the overall market.

Interpreting Performance Reports and Identifying Inefficiencies

Understanding the data presented in performance reports is crucial for making informed investment decisions. This includes reviewing asset allocation, security selection, and market timing effects. Look for:

  • Areas of Outperformance: Identify which asset classes or securities contributed the most to positive returns. This helps the CFO decide what strategies to use in the future.
  • Areas of Underperformance: Pinpoint asset classes, security selections, or market timing decisions that detracted from returns. This provides opportunities for corrective action. The CFO can choose to re-balance the portfolio to increase return.
  • Consistency: Evaluate whether the performance is consistent over time, and compare them with peers.
  • Risk-Adjusted Returns: Remember the Sharpe and Treynor ratios, and others, to account for risk. The CFO needs to consider the risks being taken to generate the return.

Example: A report shows the portfolio outperformed its benchmark, with strong returns in technology stocks and fixed income. However, poor security selection in the energy sector detracted from performance. This suggests the need to re-evaluate the energy sector strategy.

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