Sortino Ratio
The Sortino Ratio is a risk-adjusted performance metric that evaluates an investment portfolio's excess returns relative only to its downside volatility.
Created by Frank A. Sortino, this ratio improves upon the classic Sharpe Ratio. While the Sharpe Ratio penalizes both upside and downside volatility equally, the Sortino Ratio recognizes that upside volatility (unexpectedly large positive gains) is beneficial to investors. It only penalizes the portfolio for negative fluctuations, or downside deviation.
The mathematical formula for the Sortino Ratio is:Sortino Ratio = (Rp - Rf) / σd
Where Rp is the expected portfolio return, Rf is the risk-free rate, and σd is the standard deviation of negative asset returns (downside deviation).
By focusing solely on negative returns, the Sortino Ratio provides a clearer picture of an investment's true risk. It is especially useful for evaluating portfolios with skewed return distributions, such as tactical momentum models or hedge fund strategies, which actively seek to cut off downside tail risks while letting positive runs compound.