Calculator
Treynor Ratio Calculator
Treynor Ratio Calculator
Treynor Ratio
6.36
Return per Unit of Beta
6.36%
Market Risk Carried
β 1.10
Reward-per-Risk Analysis
A Treynor ratio of 6.36 is decent. The portfolio returned 11.5% on a beta of 1.10, which translates to 6.4% of excess return per unit of market risk. Compare that number against the market's own premium over the risk-free rate — if the index would have scored higher, a cheaper index fund would have served you better.
The Treynor ratio is a backward-looking measure based on the inputs you provide. Beta and returns vary over time, and a ratio computed on one period's numbers does not guarantee future risk-adjusted results.
The Treynor Ratio: Reward per Unit of Market Risk
Every portfolio return comes with a question: how much market risk did I take to earn it? The Treynor ratio, developed by economist Jack Treynor in the 1960s, answers exactly that by dividing a portfolio's excess return over the risk-free rate by its beta — the measure of systematic, non-diversifiable market risk. A Treynor ratio of 6 means each unit of market exposure earned six percentage points of reward above cash. It is the natural yardstick when judging a fund that lives inside an already-diversified portfolio, because beta is precisely the risk that diversification cannot remove. For US investors comparing actively managed funds, target-date funds, or individual holdings, the Treynor ratio exposes a common illusion: a high-return fund is often just a high-beta fund. Two funds can both return 15%, but the one that did it at a beta of 0.9 earned its return far more efficiently than the one that needed a beta of 1.5 to get there. Where the Sharpe ratio divides by total volatility and suits a whole-portfolio judgment, Treynor divides by beta and suits the evaluation of a single building block inside a diversified account. Both have their place, and the choice between them is not style but what kind of risk you are actually being asked to pay for.
Behind the Formula: Excess Return Divided by Beta
The Treynor ratio is computed as (Portfolio Return − Risk-Free Rate) / Beta. The numerator is the reward: how much the portfolio earned above what a guaranteed cash equivalent would have paid. The denominator is the systematic-risk price of earning it. Beta itself is a regression coefficient between the portfolio's returns and the benchmark's returns, so a beta of 1.2 means the portfolio historically moved 20% more than the market in both directions. Because beta captures only market-linked risk, the Treynor ratio assumes the portfolio you are evaluating is part of a diversified whole — the idiosyncratic stock-picking risk that remains after diversification is ignored by design. That is the key modeling assumption: if the portfolio IS your entire account, beta understates your true risk, and a total-risk measure like Sharpe is more appropriate. A practical interpretation rule: compare a fund's Treynor ratio against the market's own ratio over the same period — the index's excess return divided by its beta of 1.0. A fund only deserves its fees if its Treynor ratio beats that benchmark figure. Negative numerators (returns below cash) produce negative ratios, and a zero or negative beta makes the ratio undefined, which is why the calculator guards against it.
Expert Insights
Use Treynor for a Sleeve, Sharpe for the Whole Portfolio
The two classic reward-per-risk ratios answer different questions. Treynor prices market risk (beta), which is the only risk left in a diversified portfolio — so it is the right lens for judging one fund inside a diversified mix. Sharpe prices total volatility, which matters when the investment IS the portfolio. Misapplying Treynor to a concentrated, undiversified account undercounts the risk you actually hold. Match the ratio to the question.
The Market's Own Treynor Ratio Is the Bar to Beat
An easy and rigorous benchmark: compute the broad market's excess return over the risk-free rate for the same window — since the market's beta is 1.0, that number is the market's Treynor ratio. Any fund with a lower Treynor ratio than the index delivered less reward per unit of market risk, and you could have matched its beta cheaper with an index fund or futures. This single comparison resolves most active-versus-passive debates on quantifiable terms.
Watch for Beta Drift Between Measurements
Beta is not a fixed property of a fund; it is a statistical estimate over a chosen window, and it drifts as the manager changes holdings or as market regimes shift. A fund whose Treynor ratio looked excellent when its beta was 0.8 may look poor today at a beta of 1.3. Always check that the beta you are plugging in is from a similar period as the return figure, and re-run the ratio periodically rather than trusting a stale snapshot.
Actionable Tips
- 1
Rank Your Fund Lineup by Treynor Before Rebalancing
Pull each fund's average annual total return and the beta printed in its fact sheet, plug both into this calculator with the current 1-year Treasury yield, and rank the results. Funds at the bottom are consuming market-risk budget for the least reward. This routinely surfaces holdings that underdeliver relative to their volatility contribution and belong on the rebalancing chopping block.
- 2
Pair Treynor With a Look at Fees
Expense ratios come straight out of a fund's return, so expensive funds start the Treynor race with a handicap. If two funds have similar Treynor ratios but one charges 1.0% more, the cheaper fund's manager effectively produced more pre-fee skill. Always inspect the ratio alongside cost — a small cost edge is usually more durable than a small ratio edge.
- 3
Re-run With a Different Risk-Free Rate to Test Sensitivity
Treynor's numerator is sensitive to the risk-free-rate assumption. Re-run the calculation using a cash-rate assumption one or two points different. If a fund's rank flips between the two scenarios, its edge is fragile and mostly a rate artifact. A fund whose Treynor rank holds across reasonable rate assumptions has a sturdier risk-adjusted result.
Real-World Examples
Derek's Growth Fund Looks Great Until the Ratio Appears
Derek held a concentrated growth fund that returned 16.4% in a year the S&P 500 returned 13%. The win felt like skill until the calculator showed the fund's beta at 1.35. Its Treynor ratio came out lower than the index's own, meaning the extra return was just amplified market exposure at a 0.85% expense ratio. He switched to a low-cost index fund and kept the same market risk at a fraction of the cost.
Linda Finds Quiet Value in a Utilities Fund
Linda's utilities fund returned only 8.9% in a roaring market year, and she assumed it was dragging her account down. The tool showed its beta was just 0.55, which produced a Treynor ratio above both the market and her other holdings. Relative to the little market risk it took, the fund was her most efficient sleeve. She kept it as her ballast and stopped judging it against the headline tape.
The Alvarez 401(k) Audit
The Alvarez couple ran the Treynor ratio across the five equity options in their 401(k) menu using each fund's published beta. Two active funds underperformed the index options after cost, a third matched, and only one clearly beat its benchmark ratio — but with much higher tracking error. They consolidated into the cheap index options plus a small allocation to the one fund that earned its keep, trimming fees by more than half.
Glossary of Terms
- Treynor Ratio
- Excess return over the risk-free rate divided by beta. It measures reward earned per unit of systematic market risk.
- Risk-Free Rate
- The return of an asset treated as free of default risk, typically a US Treasury bill yield. It is the guaranteed baseline a risky investment must beat.
- Systematic Risk
- Market-wide risk that affects all holdings and cannot be diversified away, measured by beta. It is the risk the Treynor ratio prices.
Frequently Asked Questions
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Ivy Sinclair-Wren
Financial Chaos Analyst
Ivy Sinclair-Wren is a Financial Chaos Analyst covering investing, AI, wealth psychology, and the emotional consequences of opening finance apps during market crashes. Based in Melbourne, she specializes in demystifying the US tax code and helping users navigate the intersection of spreadsheet logic and human irrationality.