📊 Appraisal Ratio is a performance metric used to evaluate how well a portfolio manager or fund performs relative to the unsystematic risk (specific risk) taken. It is defined as the ratio of the portfolio’s alpha (excess return above the expected return predicted by the Capital Asset Pricing Model) to its residual standard deviation (standard deviation of the residual or idiosyncratic return).
Formula:
Appraisal Ratio = Alpha / Residual Standard Deviation
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Alpha reflects how much better (or worse) a portfolio performed compared to a benchmark on a risk-adjusted basis.
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The denominator, residual standard deviation, reflects the volatility from unsystematic risk – the part not explained by market movement.
Interpretation:
A higher appraisal ratio indicates that the manager is generating a high level of excess returns per unit of unsystematic risk. For example, an appraisal ratio of 0.6 suggests that for every 1% of unsystematic risk, the portfolio delivers 0.6% of alpha.
Application:
This measure is especially useful for evaluating actively managed portfolios. It allows investors to judge whether the manager’s stock-picking ability is delivering consistent value beyond market exposure.
📉 Sortino Ratio
Sortino Ratio is a modified version of the Sharpe Ratio that differentiates harmful volatility from total volatility. Instead of using standard deviation of all returns, it uses the downside deviation, focusing only on negative returns or returns that fall below a defined target or the risk-free rate.
Formula:
Sortino Ratio = Rp − Rf / σd
Where:
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Rp = Portfolio return
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Rf = Risk-free rate
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σd = Downside deviation
Why it’s better than Sharpe Ratio:
Sharpe Ratio treats upside and downside volatility the same. However, investors are usually not concerned with upside volatility. The Sortino Ratio, by focusing only on negative deviations, gives a more accurate measure of risk-adjusted returns.
Interpretation:
A higher Sortino Ratio is better. It means the portfolio earns higher excess returns for each unit of downside risk. For instance, a ratio of 2 means the fund earns twice as much return as its downside risk.
Use Case:
Best used when evaluating retirement portfolios, capital protection strategies, or funds that aim to minimize downside risk, making it ideal for conservative investors.
📐M² Measure (Modigliani-Modigliani Measure)
M² Measure, or Modigliani-Modigliani Risk-Adjusted Performance, is a metric developed by Franco and Leah Modigliani to provide a more intuitive understanding of a portfolio’s risk-adjusted return by converting it into percentage terms, just like standard returns.
Formula
Where:
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Rp = Portfolio return
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Rf = Risk-free rate
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σp = Portfolio standard deviation
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σm = Market standard deviation
Interpretation:
M² expresses the portfolio’s risk-adjusted return as if it had the same risk as the market. It adjusts the portfolio’s returns to match the volatility of the market. The result is then presented as a percentage, making it easier to compare with market returns.
If M² is greater than the market return, it means the portfolio outperformed the market on a risk-adjusted basis. If it’s lower, the portfolio underperformed.
Why it’s useful:
M² delivers results in actual return percentage, making it easier to understand and communicate to non-technical investors.
Ideal for:
Investors who want a clear, apples-to-apples comparison between portfolio and benchmark returns after adjusting for risk.