Treynor Ratio: Formula, Advantages and Examples

calendar 10 Sep, 2025
clock 4 mins read
treynor ratio

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Investors often look beyond absolute returns to judge how well an investment is performing. A fund may show high returns, but are those gains worth the level of risk taken? This is where risk-adjusted performance metrics come in. One such tool is the Treynor Ratio, which focuses on systematic or market-related risk. Developed by economist Jack Treynor, it tells you how much extra return an investment delivers for each unit of market risk.

In this article, we explain the Treynor Ratio meaning, how it works, the Treynor Ratio formula, its interpretation, advantages, and limitations. We’ll also compare the Treynor Ratio vs Sharpe Ratio and walk through a practical Treynor Ratio example.

What is the Treynor Ratio?

The Treynor Ratio is a measure of risk-adjusted return that uses beta as the risk component. Unlike the Sharpe Ratio, which considers total risk (measured by standard deviation), the Treynor Ratio focuses only on systematic risk - the kind tied to market movements that cannot be diversified away.

This makes it particularly useful for diversified portfolios where unsystematic or stock-specific risks have already been reduced. By relating returns to market risk, it shows whether a portfolio has been fairly rewarded for the level of risk it carries.

How the Treynor Ratio Works

The ratio compares the excess return of a portfolio (returns above the risk-free rate) with the portfolio’s beta.

  • Excess return: The additional return generated beyond a risk-free investment, such as government bonds.

  • Beta: A measure of how much a portfolio moves in relation to the overall market. A beta of 1 means the portfolio moves in line with the market, while a beta higher than 1 means greater sensitivity to market swings.

In short, the Treynor Ratio shows how efficiently a portfolio is generating returns relative to the market risk taken.

Treynor Ratio Formula

The calculation is straightforward:

Treynor Ratio = (Portfolio Return − Risk-Free Rate) / Beta

Where:

  • Portfolio Return = Annualised return, ideally net of fees and expenses

  • Risk-Free Rate = Yield on a safe security (e.g., 10-year Indian Government bond)

  • Beta = Portfolio’s sensitivity to a benchmark index such as Nifty 50 or Sensex

This formula helps investors see whether the portfolio has delivered adequate reward for the level of market risk.

Interpreting the Treynor Ratio

  • Higher ratio - Better risk-adjusted performance

  • Zero or negative ratio - Poor performance or inadequate return for the risk taken

  • Comparisons - Best used when comparing diversified portfolios that are benchmarked to the same market index

It’s important to remember that the Treynor Ratio interpretation assumes the portfolio is well-diversified. If not, the result may be misleading since stock-specific risks are not considered.

Treynor Ratio vs Sharpe Ratio

Feature

Treynor Ratio

Sharpe Ratio

Risk Measure

Beta (systematic risk)

Standard deviation (total risk)

Best For

Diversified portfolios

All types of portfolios

Use Case

Evaluating performance relative to market risk

Assessing overall portfolio volatility

Focus

Market risk-adjusted return

Total risk-adjusted return

When to use which:
  • Use the Treynor Ratio when the portfolio is diversified and you want to focus only on market risk.

  • Use the Sharpe Ratio when analysing portfolios that may still carry unsystematic risks.

Advantages of Treynor Ratio

  • Focuses on systematic risk, making it ideal for diversified portfolios

  • Aligned with the Capital Asset Pricing Model (CAPM)

  • Allows straightforward comparison between funds or ETFs

  • Highlights true performance by showing returns adjusted for market exposure

Limitations of Treynor Ratio

  • Assumes portfolios are diversified; unsuitable for concentrated holdings

  • Relies heavily on beta, which may not fully capture risk in volatile markets

  • Ignores unsystematic risk, which can be significant in smaller portfolios

  • Sensitive to input accuracy - errors in beta, returns, or risk-free rate can distort results

Example of Treynor Ratio

Consider this case:

  • Portfolio Return = 12% (annualised, net of fees)

  • Risk-Free Rate = 4% (10-year G-Sec yield)

  • Beta = 1.2 (relative to Nifty 50)

Treynor Ratio = (12% − 4%) / 1.2 = 6.67

This means the portfolio earned 6.67% excess return per unit of market risk. The higher the number, the more efficiently the portfolio is using market risk to generate returns.

Conclusion

The Treynor Ratio is a valuable tool for assessing how well an investment rewards investors for the market risk taken. While it is particularly effective for diversified portfolios, it should not be used in isolation. Combining it with other measures like the Sharpe Ratio and Jensen’s Alpha gives a fuller picture of portfolio performance.

For investors and analysts, knowing how to calculate Treynor Ratio and how to interpret it provides an extra layer of insight into whether returns truly justify the risks involved.

FAQ

Have more questions?
We’re happy to answer

FAQ

Have more questions?
We’re happy to answer

FAQ

Have more questions?
We’re happy to answer

It shows how much excess return a portfolio has earned for each unit of market risk. A higher ratio means more efficient risk-adjusted performance.

Subtract the risk-free rate from the portfolio return, then divide the result by the portfolio’s beta:
Treynor Ratio = (Portfolio Return − Risk-Free Rate) / Beta

There is no universal benchmark. However, a positive and consistently high ratio indicates strong risk-adjusted returns. When comparing investments, the one with the higher Treynor Ratio is generally preferred, assuming other factors remain similar.

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