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The Treynor Ratio is an efficiency metric closely related to the Sharpe Ratio. However, while the Sharpe Ratio penalizes a strategy for its total volatility (Standard Deviation), the Treynor Ratio only penalizes a strategy for its systematic risk (Beta). This makes the Treynor Ratio exceptionally useful for evaluating portfolios that are part of a broader, well-diversified investment ecosystem.

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The Mathematical Formula

The ratio divides the portfolio’s excess return over the risk-free rate by its Beta: T=Rp−RfβpT = \frac{R_p - R_f}{\beta_p} Where:
  • RpR_p = The return of the portfolio.
  • RfR_f = The risk-free rate.
  • βp\beta_p = The Beta of the portfolio.

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When to Use the Treynor Ratio

  • Use the Sharpe Ratio when you are evaluating your entire net worth or a standalone strategy in isolation, as you need to account for every ounce of specific idiosyncratic risk.
  • Use the Treynor Ratio when evaluating a specific “sub-basket” or algorithmic sleeve within a larger, fully diversified portfolio, where idiosyncratic risk has already been diversified away.
A higher Treynor Ratio indicates that the strategy is generating superior returns for the amount of broader market risk it is forced to endure.