Treynor Ratio Calculator

Calculate risk-adjusted returns using Treynor ratio.

Results

Treynor Ratio:
Excess Return:
Risk Premium per Beta:
Rating:

Portfolio Comparison

Portfolio Return % Beta Treynor Ratio Ranking Actions

Understanding Treynor Ratio

Formula

Treynor Ratio = (Portfolio Return - Risk-Free Rate) / Beta

Components

  • Portfolio Return: The average annual return of the portfolio
  • Risk-Free Rate: Return on risk-free assets (e.g., Treasury bills)
  • Beta: Measure of portfolio's systematic risk relative to market

Interpretation

  • Higher is Better: Higher Treynor ratios indicate better risk-adjusted performance
  • Positive Values: Portfolio outperformed risk-free rate
  • Negative Values: Portfolio underperformed risk-free rate
  • Comparison Tool: Best used to compare portfolios with similar systematic risk

vs Sharpe Ratio

  • Treynor: Uses beta (systematic risk only)
  • Sharpe: Uses standard deviation (total risk)
  • Use Treynor: For well-diversified portfolios

Example Calculations

Growth Portfolio

  • Portfolio Return: 15%
  • Risk-Free Rate: 3%
  • Beta: 1.5
  • Treynor Ratio: 8.0

Balanced Portfolio

  • Portfolio Return: 10%
  • Risk-Free Rate: 3%
  • Beta: 0.8
  • Treynor Ratio: 8.75

Conservative Portfolio

  • Portfolio Return: 7%
  • Risk-Free Rate: 3%
  • Beta: 0.4
  • Treynor Ratio: 10.0

Analysis

Despite lower absolute returns, the conservative portfolio has the highest Treynor ratio, indicating superior risk-adjusted performance per unit of systematic risk.

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