Treynor Ratio Calculator

The Treynor ratio evaluates investment performance by dividing the portfolio's risk-adjusted excess return by its beta. First, the portfolio return is derived from the beginning and ending portfolio values: Portfolio Return = (Ending Value - Beginning Value) / Beginning Value. Next, the risk-free rate is subtracted from this return to find the risk premium. Finally, this excess return is divided by the portfolio beta (systematic risk): Treynor Ratio = (Portfolio Return - Risk-Free Rate) / Portfolio Beta.

Imagine you invested $100,000 at the beginning of the year, and your portfolio grew to $115,000 by year-end. This yields a portfolio return of ($115,000 - $100,000) / $100,000 = 15%. Assume the current risk-free rate (such as a 10-year Treasury yield) is 3%, and your portfolio has a beta of 1.2, meaning it is more volatile than the broader market. Applying the Treynor ratio formula: (15% - 3%) / 1.2 = 12% / 1.2 = 0.10 or 10%. This means your portfolio generated 10% of excess return per unit of systematic risk taken.

When analyzing investments using the Treynor ratio, keep these guidelines in mind: 1. Use for Well-Diversified Portfolios: Because beta only measures systematic risk, this ratio is most effective for diversified portfolios where unsystematic risk is largely eliminated. 2. Compare Peers Accurately: Always compare portfolios or funds that operate within the same asset class or market conditions. 3. Account for Negative Betas: If a portfolio has a negative beta, the Treynor ratio can yield counterintuitive results, so it should be interpreted alongside other performance metrics.