Several statistical tools measure risk-adjusted return, each emphasising a different aspect of risk. The most widely used include:
Sharpe Ratio
The Sharpe Ratio measures the excess return (above the risk-free rate) generated per unit of total portfolio risk (standard deviation).
Formula:
- Sharpe Ratio = (Portfolio Return – Risk-Free Rate) ÷ Standard Deviation
A higher Sharpe Ratio indicates more efficient risk-adjusted performance.
Treynor Ratio
The Treynor Ratio evaluates returns relative to systematic risk (beta), which reflects an investment’s sensitivity to market movements.
Formula:
- Treynor Ratio = (Portfolio Return – Risk-Free Rate) ÷ Beta
It is suitable for evaluating portfolios considered part of a well-diversified system.
Jensen’s Alpha
Jensen’s Alpha measures the return earned above or below what the Capital Asset Pricing Model (CAPM) predicts.
Formula:
- Jensen’s Alpha = Actual Return – Expected Return (from CAPM)
A positive alpha indicates superior risk-adjusted performance.
These metrics collectively provide a multi-dimensional view of performance and are widely used by fund houses, analysts and quantitative investors.