Wealth

Treynor Ratio

Return above the risk-free rate, per unit of beta.

Extra return per unit of beta

4.17%

Return above the risk-free rate
5.0%

This ignores risk that is not in the beta.

How this number is made

The Treynor ratio uses beta instead of total volatility. It only makes sense if the risk you care about is market risk, and the rest was diversified away. A concentrated book can look fine here and still blow up.

  1. Beta is against the same market you have in mind for the risk-free comparison.
  2. A beta near zero makes the ratio huge or meaningless. Read the note if that happens.

Formula

Treynor = (portfolio return − risk-free rate) ÷ beta.

Worked example

With the figures already in the form, extra return per unit of beta is 4.17%.

Questions

Why is the result a percent?

It is extra return per unit of beta. A result of 4% means four percentage points of extra return for a beta of 1.

When should I use Sharpe instead?

When the portfolio is not diversified. Sharpe counts risk the Treynor ratio ignores.

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