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Treynor Ratio Calculator

Measure how much reward a portfolio earned for the market risk it took. Enter portfolio return, the risk-free rate and beta to get the Treynor ratio — excess return per unit of market risk.

How the Treynor ratio calculator works

Answer first: the Treynor ratio measures how much return a portfolio earned above the risk-free rate for each unit of market risk it carried. This Treynor ratio calculator subtracts the risk-free rate from the portfolio's return and divides by beta — a close cousin of the Sharpe ratio, but one that focuses on market-linked risk rather than total volatility.

Treynor ratio = (Portfolio return − Risk-free rate) ÷ Beta
Example: a portfolio returns 12% while the risk-free rate is 4% and its beta is 1.2. The excess return is 12 − 4 = 8%, so the Treynor ratio is 8 ÷ 1.2 = 6.67 — 6.67 points of excess return for every unit of market risk. Higher is better.

The idea, developed by economist Jack Treynor, is that not all risk deserves compensation. Risk that can be diversified away — the ups and downs specific to one company — should not earn a reward, because a sensible investor can eliminate it for free by holding many stocks. Only systematic risk, the exposure to the whole market's swings captured by beta, is unavoidable and therefore worth paying for. The Treynor ratio judges a portfolio purely on how well it was rewarded for that unavoidable risk.

Treynor versus Sharpe

The two ratios ask subtly different questions. The Sharpe ratio divides excess return by total volatility (standard deviation), so it penalises all wobbles, diversifiable or not. The Treynor ratio divides by beta, counting only market risk. For a single, undiversified holding the Sharpe ratio is usually more honest, because company-specific risk is very real to someone who owns just that one stock. But for a well-diversified portfolio — where the idiosyncratic risk has largely been washed out — the Treynor ratio is often the better measure, since beta is what is left.

Comparing funds and strategies

The Treynor ratio really earns its keep when you are comparing several diversified portfolios or funds that will sit inside a bigger portfolio. Because it standardises returns by beta, it lets you rank a low-beta, steady fund against a high-beta, aggressive one on a level playing field: which manager squeezed the most excess return out of each unit of market exposure? A higher Treynor ratio means more reward for the systematic risk taken. On its own the number is abstract — 6.67 is neither good nor bad in a vacuum — but next to a benchmark or a rival fund it becomes a genuinely useful comparison.

The catches

Two warnings. First, Treynor is backward-looking: it is calculated from realised returns and an estimated beta, and neither guarantees the future. Beta itself drifts over time and is measured against a chosen benchmark, so a different index can change the answer. Second, the ratio behaves strangely with negative beta or when the portfolio underperformed the risk-free rate — the sign can flip and mislead. Use the Treynor ratio as one of several lenses, alongside the Sharpe and Sortino ratios and a look at the maximum drawdown, rather than as a single verdict.

Reality check: the Treynor ratio is based on past returns and an estimated beta, which do not predict future performance. This tool is educational, not investment advice. For risk basics, see the U.S. SEC at investor.gov.

Compare with the Sharpe ratio and Sortino ratio calculators, estimate market risk with the beta calculator, set required returns with the CAPM calculator, and check downside with the maximum drawdown calculator.

Last updated July 4, 2026 · Written by Mustafa Bilgic. Educational only — not financial advice.

FAQ

Frequently asked questions

What is the Treynor ratio?

It is a risk-adjusted performance measure: the portfolio's return above the risk-free rate divided by its beta. It shows how much excess return was earned for each unit of market (systematic) risk taken. Higher is better.

How is the Treynor ratio different from the Sharpe ratio?

The Sharpe ratio divides excess return by total volatility (standard deviation), penalising all price swings. The Treynor ratio divides by beta, counting only market risk. Treynor suits diversified portfolios; Sharpe suits undiversified holdings.

What is a good Treynor ratio?

There is no absolute threshold — a higher number is better, and the ratio is most useful when comparing portfolios or against a benchmark. On its own the figure is abstract; in a ranking it reveals which portfolio was best rewarded for its market risk.

Why does beta matter for the Treynor ratio?

Beta captures systematic risk, the market exposure that cannot be diversified away. The Treynor ratio assumes company-specific risk has been diversified out, so it measures reward against only the risk that genuinely deserves compensation.

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