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Free Treynor Ratio Calculator

Calculate the Treynor ratio (excess return ÷ beta) of an investment.

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The Treynor ratio measures risk-adjusted return like the Sharpe ratio, but uses beta (systematic/market risk) as its risk measure instead of standard deviation (total risk) — most appropriate for evaluating a single holding within an already well-diversified portfolio, where diversifiable risk has already been mostly eliminated.

How it works

Enter the portfolio's return, the risk-free rate, and its beta, and the calculator applies Treynor Ratio = (Portfolio Return − Risk-Free Rate) ÷ Beta.

  1. Enter portfolio return (%).
  2. Enter risk-free rate (%).
  3. Enter portfolio beta.
  4. Click Calculate to see your results.

Examples

A solid risk-adjusted return by market-risk measure

A portfolio returning 12% with a 3% risk-free rate and a beta of 1.2 has a Treynor ratio of 7.5 — for each unit of market (systematic) risk exposure, it generated 7.5 percentage points of excess return.

Who should use it

  • Evaluating individual holdings within a diversified portfolio.
  • Investment analysis and portfolio management.

Industry applications

  • Investment analysis and portfolio management
  • Fund performance evaluation

Advantages

  • Appropriately isolates systematic (market) risk rather than total volatility.
  • Well-suited for evaluating individual holdings within a diversified portfolio.

Limitations

  • Less meaningful for a standalone, undiversified investment, where diversifiable risk still matters.

Common mistakes to avoid

  • Using Treynor ratio for a poorly-diversified individual holding, where diversifiable risk (which Treynor ignores) still matters a great deal.
  • Comparing Treynor ratios across investments with unreliable or poorly-estimated beta figures.

Best practices

  • Use Treynor specifically for evaluating holdings within an already-diversified portfolio, where Sharpe's total-risk view would be less appropriate.
  • Use a beta estimated over a reasonably long, relevant time period for a more reliable result.

Tips

  • Use Treynor for individual holdings inside a diversified portfolio, and Sharpe for evaluating a standalone or poorly-diversified investment.

Frequently asked questions

Yes, with no signup and no limit on how many calculations you run.
Sharpe divides by standard deviation (total risk, including risk that could be diversified away); Treynor divides by beta (systematic/market risk only, which can't be diversified away) — Treynor is most meaningful for a holding within an already-diversified portfolio, where Sharpe's total-risk measure would unfairly penalize it for diversifiable risk that no longer matters.
It measures how much a security or portfolio moves relative to the overall market — a beta of 1 means it moves with the market on average, above 1 means more volatile than the market, below 1 means less.
It's negative if returns are below the risk-free rate, and mathematically undefined (or misleading) if beta is zero or negative — a negative beta specifically means the investment tends to move opposite the market, which the plain Treynor formula doesn't interpret meaningfully.

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