Lesson Objective: To analyze the key methods for measuring portfolio performance, including risk-adjusted return metrics, and to understand the process of performance attribution to identify the sources of portfolio returns.

In-Depth Notes:

1. The Purpose of Performance Measurement:
Performance measurement is the process of evaluating the returns of a portfolio to assess the success of the investment strategy and the skill of the portfolio manager. It is essential for monitoring client portfolios and for reporting to clients. A wealth manager must be able to measure and communicate a client’s portfolio performance using different risk and return measures .

2. Measuring Returns:

  • Time-Weighted Rate of Return (TWR): Measures the compound growth rate of the portfolio, eliminating the impact of external cash flows (e.g., deposits and withdrawals). TWR is the standard measure for evaluating the performance of a portfolio manager.

  • Money-Weighted Rate of Return (MWR): The internal rate of return (IRR) of the portfolio, which accounts for the size and timing of external cash flows. MWR reflects the actual return experienced by the client .

3. Risk-Adjusted Performance Metrics:

  • Sharpe Ratio: Measures the excess return per unit of total risk (standard deviation). A higher Sharpe ratio indicates better risk-adjusted performance .

    • Sharpe Ratio = (Rp - Rf) / σp

  • Sortino Ratio: Measures the excess return per unit of downside risk (focusing on negative returns). This is a more refined measure for clients who are primarily concerned with downside risk.

  • Treynor Ratio: Measures the excess return per unit of systematic risk (beta). This is useful for evaluating the performance of a portfolio relative to its market risk exposure .

    • Treynor Ratio = (Rp - Rf) / βp

  • Jensen’s Alpha: Measures the excess return of a portfolio relative to its expected return, based on the CAPM. A positive alpha indicates that the portfolio manager has outperformed the benchmark on a risk-adjusted basis .

    • Alpha = Rp - [Rf + βp × (Rm - Rf)]

4. Performance Attribution:
Performance attribution is the process of identifying the sources of portfolio returns. This helps to explain why a portfolio performed the way it did and to evaluate the decisions of the portfolio manager .

  • Asset Allocation Effect: The impact of the strategic allocation to different asset classes on portfolio returns.

  • Security Selection Effect: The impact of selecting individual securities within an asset class.

  • Market Timing Effect: The impact of tactical decisions to adjust the portfolio’s exposure to different markets.

  • Interaction Effect: The combined effect of asset allocation and security selection.

5. Benchmarking:
Performance is typically measured against a benchmark, such as a market index (e.g., S&P 500) or a custom benchmark that reflects the portfolio’s investment policy .

 
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