Treynor Ratio Calculator
Calculate excess portfolio return per beta unit from returns and a risk free rate measured over the same period.
How the calculator works
Enter portfolio return and risk free rate as percentages for one matching measurement period. Enter beta estimated for the portfolio against a named market benchmark over a matching period.
The calculator subtracts the risk free rate from portfolio return, then divides that excess return by beta. It does not estimate beta from a return series or adjust inputs to a common period.
A positive beta receives one of three illustrative numeric range labels. A negative beta keeps the signed formula result but receives no range label because a simple positive beta ranking convention does not carry over.
Step by step
- Enter the portfolio return and risk free rate for the same period.
- Enter beta estimated against the benchmark for that period.
- Review the signed ratio, its units and the limited numeric interval label.
Worked example
Suppose portfolio return is 12 percent, the same period risk free rate is 4 percent, and benchmark beta is 1.1. The excess return is 8 percentage points.
Divide 8 by 1.1 to get 7.2727 percentage points per beta unit. The calculator places this result in its illustrative 5 to below 10 interval. It does not establish that the portfolio is suitable or likely to outperform.
When to use this calculator
Use it to check the arithmetic of excess return per beta unit when you already have matching period return, risk free rate and benchmark beta inputs.
Review the benchmark, measurement period and risks outside beta before interpreting or comparing the result.
Common input mistakes
Enter 12 for 12 percent, not 0.12. Use portfolio return and the risk free rate for the same measurement period rather than mixing annual and monthly rates.
Do not compare results that use different benchmarks or beta periods as if the inputs were interchangeable. A numeric range label is not a recommendation or a measure of total risk.
Formula and units
Treynor ratio = (Rp − Rf) ÷ β
Rp and Rf are entered as percentages, so 12 means 12 percent. The result is percentage points per one beta unit, with no annualization. Use portfolio return and the risk free rate for the same period, and beta estimated against the same benchmark for that period. Beta must not be zero. The displayed ranges are illustrative numeric intervals for positive beta only, not portfolio grades or decision rules.
Scope and limitations
This calculator uses three manually entered values and does not verify their sources, period alignment, benchmark or beta method. It does not calculate beta from historical returns, annualize results, include fees or taxes, or estimate future performance.
Key terms
- Portfolio return
- The portfolio's entered return over the measurement period. This calculator does not retrieve or validate it.
- Risk free rate
- The entered reference rate for the same measurement period as portfolio return.
- Beta
- A measure of how portfolio returns vary with a specified benchmark. It captures benchmark related systematic risk, not total risk.
Compare related measures
The Sharpe ratio divides excess return by standard deviation, a measure of total return variability. Treynor uses beta instead, so the measures answer different risk questions.
A portfolio beta tool can help inspect a beta assumption separately. It does not verify that the return and beta inputs here use a suitable common benchmark or period.
FAQ
What does the Treynor ratio calculate?
It divides portfolio return minus the risk free rate by portfolio beta. The result describes excess return per unit of benchmark related risk, measured by beta. It does not describe total volatility or all portfolio risk.
Should the inputs use the same period?
Yes. Portfolio return and risk free rate must cover the same period, and beta should be estimated against the same benchmark and a matching measurement period. The calculator does not convert or annualize the values.
What units does the result use?
When returns are entered as percentages, the output is percentage points per one beta unit. For example, an input of 12 means 12 percent, not 0.12. Beta itself is dimensionless.
Why is the result unavailable when beta is zero?
Beta is the denominator, so division by zero has no defined result. A beta close to zero can also make the ratio highly sensitive to small input changes, even when the calculation remains finite.
How should I read a negative beta result?
The calculator keeps the signed arithmetic result and does not assign a numeric range label to negative beta. Do not read a negative beta as a risk grade or as evidence that the portfolio offsets risk; assess the portfolio and benchmark context separately.
Related tools
Explore the Sharpe and Sortino ratio for return variability, or review portfolio beta as a separate benchmark sensitivity measure.