2.5 Evaluation of portfolio performance: Treynor’s measure, Sharpe’s measure, Jensen’s measure, appraisal ratio measure, information ratio, Modigliani and Modigliani (M2)

The evaluation of portfolio performance is essential for investors and fund managers to assess the effectiveness of their investment strategies and measure their success in generating returns. There are several key metrics and methods used to evaluate portfolio performance:

1. Absolute Returns: Absolute returns measure the actual percentage gain or loss of a portfolio over a specific period. It indicates the total return generated by the portfolio, regardless of the benchmark or market conditions.
2. Relative Returns: Relative returns compare the portfolio’s performance against a benchmark or an appropriate market index. This allows investors to assess whether their portfolio outperformed or underperformed the broader market. Common benchmarks include stock market indices like the S&P 500 or bond indices like the Bloomberg Barclays Aggregate Bond Index.
3. Risk-Adjusted Returns: Risk-adjusted returns take into account the level of risk undertaken to achieve the returns. Metrics such as the Sharpe ratio, Treynor ratio, and Jensen’s alpha adjust returns for the level of systematic risk (beta) or other risk factors. These ratios help investors assess whether the portfolio’s returns adequately compensate for the risk taken.
4. Volatility and Risk Measures: Volatility measures, such as standard deviation, provide insights into the riskiness of a portfolio. Lower volatility generally indicates a less risky portfolio, while higher volatility suggests higher potential fluctuations in returns. Other risk measures, such as value at risk (VaR) or conditional value at risk (CVaR), assess the potential downside risk of the portfolio.
5. Portfolio Diversification: Evaluating portfolio diversification helps determine whether the portfolio is appropriately spread across different asset classes, sectors, regions, or individual securities. Measures like correlation and portfolio concentration analysis assess the level of diversification and the potential impact of specific holdings on the overall portfolio.
6. Performance Attribution: Performance attribution analysis breaks down the sources of portfolio returns, such as asset allocation decisions, security selection, and timing. It helps identify the contribution of each factor to the portfolio’s performance and highlights areas of strength or weakness.
7. Peer Group Comparison: Comparing the portfolio’s performance against similar portfolios or funds within the same category provides a benchmark for evaluating relative performance. Peer group comparison helps investors understand how their portfolio stacks up against similar investment strategies.