Treynor Ratio Calculator
The Treynor Ratio is a valuable metric for evaluating the performance of an investment portfolio relative to its systematic risk (market risk). It helps investors understand how much excess return they are receiving for the extra volatility theyโre exposed to.
This Treynor Ratio Calculator simplifies the calculation and helps you make data-driven investment decisions.
๐ What Is the Treynor Ratio?
The Treynor Ratio (or reward-to-volatility ratio) measures the return of a portfolio above the risk-free rate per unit of market risk (beta).
Treynor Ratio Formula:
\text{Treynor Ratio} = \frac{R_p – R_f}{\beta}
]
Where:
- RpR_pRpโ = Portfolio Return
- RfR_fRfโ = Risk-Free Rate
- ฮฒ\betaฮฒ = Portfolio Beta
๐งฎ How to Use the Treynor Ratio Calculator
- Enter Portfolio Return (%): Your investment return over the period.
- Enter Risk-Free Rate (%): Typically the return on treasury bonds or similar.
- Enter Portfolio Beta: A measure of volatility relative to the market.
- Click โCalculateโ to get the Treynor Ratio.
๐ Example
- Portfolio Return = 12%
- Risk-Free Rate = 2%
- Beta = 1.25
Treynor Ratio=12โ21.25=8\text{Treynor Ratio} = \frac{12 – 2}{1.25} = 8Treynor Ratio=1.2512โ2โ=8
An 8 Treynor Ratio means the portfolio earned 8% excess return for every unit of market risk.
๐ก Why Treynor Ratio Matters
- Risk-Adjusted Insight: Helps investors evaluate performance beyond raw returns.
- Portfolio Comparison: Compares portfolios with different levels of beta.
- Market Efficiency: Focuses on systematic risk only (unlike Sharpe Ratio).
๐ When to Use the Treynor Ratio
- Evaluating mutual funds, ETFs, or portfolios
- Comparing active vs. passive management performance
- Assessing investments in highly correlated markets
๐ Treynor vs Sharpe Ratio
| Metric | Risk Type Used | Ideal For |
|---|---|---|
| Treynor Ratio | Systematic (Beta) | Diversified portfolios |
| Sharpe Ratio | Total risk (StdDev) | Portfolios with any risk mix |
โ FAQs
1. What is a good Treynor Ratio?
Higher is better. Positive values indicate return above the risk-free rate for each unit of risk.
2. Can the Treynor Ratio be negative?
Yes, if portfolio return is less than the risk-free rate or beta is negative.
3. What if beta is zero?
The Treynor Ratio is undefinedโzero beta means no market risk, so the ratio canโt be calculated.
4. Why use the Treynor Ratio over Sharpe Ratio?
If the portfolio is well-diversified, Treynor is more appropriate since it isolates market risk.
5. What is beta in the formula?
Beta measures a portfolioโs sensitivity to market movements. A beta of 1 means it moves with the market.
โ Conclusion
The Treynor Ratio Calculator helps you quantify how well your investments compensate you for taking on market risk. Whether you’re a portfolio manager, financial analyst, or individual investor, this tool gives you clear insight into your performanceโadjusted for volatility.