Treynor Ratio Calculator
Calculate Treynor ratio from portfolio return, risk-free rate, and beta.
Last Updated: May 2026
Risk Return
Inputs
Treynor Ratio
6.67%
Excess Return
8.00%
Beta
1.2
Risk-Free Rate
4.00%
Calculation Details
| Item | Value |
|---|---|
| Portfolio return | 12.00% |
| Beta | 1.2 |
Investment Planning Notice
Results support education and scenario analysis. They do not provide personalized investment, tax, accounting, or legal advice.
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Every CalculatorWallah calculator is published with visible update labeling, linked source references, and review of formula clarity on trust-sensitive topics. Use results as planning support, then verify institution-, policy-, or jurisdiction-specific rules where they apply.
Reviewed By
Laxman Kumawat, Finance & Engineering Calculator Owner, reviews methodology, labels, assumptions, and trust-sensitive publishing decisions for this topic area.
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Financial calculators, Engineering calculators, Electrical and HVAC planning calculators, Investment, salary, loan, and technical design-estimate workflows
See ownership standardsMethodology & Updates
Page updated May 2026. Finance and engineering calculators are reviewed when formulas, rate assumptions, or technical references change, and during broader category refreshes.
How to Use the Treynor Ratio Calculator
Step 1: Set Portfolio return
Start with portfolio return such as 12% so the treynor ratio calculation has the correct base.
Step 2: Complete the scenario inputs
Add risk-free rate, and portfolio beta using the same period and quote convention as your source data.
Step 3: Review Treynor ratio
Read the treynor ratio result first, then check the supporting values to confirm the formula used the expected inputs.
Step 4: Compare against a benchmark
Compare the result with a benchmark portfolio, peer manager, risk-free rate, or the same strategy over another period.
How This Treynor Ratio Calculator Works
Treynor Ratio Calculator applies (Portfolio return - Risk-free rate) / beta to the values entered in the form. Percentage inputs are converted to decimals during calculation, while currency, count, and list inputs keep their displayed units.
Risk metrics require consistent return periods and matching risk measures. Annual returns should be paired with annual volatility or tracking error. The result should be read with the example inputs and formula reference below so the metric is tied to the exact scenario being modeled.
What You Need to Know
Worked Example Setup
The default setup follows the page scenario: Calculate Treynor ratio from portfolio return, risk-free rate, and beta. Start with these values to check the formula, then replace each input with your own source data.
| Input | Example value | How to treat it |
|---|---|---|
| Portfolio return | 12% | Use the portfolio return from the same scenario as the other inputs. |
| Risk-free rate | 4% | Use the risk-free rate from the same scenario as the other inputs. |
| Portfolio beta | 1.2 | Use the portfolio beta from the same scenario as the other inputs. |
Formula Reference
| Metric | Formula | Use |
|---|---|---|
| Treynor ratio | (Portfolio return - Risk-free rate) / beta | Excess return per unit of market risk |
Formula Terms Explained
The formula is only useful when each term comes from the same scenario. The table below maps the fields in the calculator to the values used in the worked example.
| Formula term | Example value | How the calculator uses it |
|---|---|---|
| Portfolio return | 12% | Converted from a percentage to a decimal before the formula is applied. |
| Risk-free rate | 4% | Converted from a percentage to a decimal before the formula is applied. |
| Portfolio beta | 1.2 | Used directly as the portfolio beta term in the scenario. |
Worked Example Walkthrough
| Step | Example detail |
|---|---|
| 1. Start with the example inputs | Portfolio return: 12%; Risk-free rate: 4%; Portfolio beta: 1.2 |
| 2. Normalize the inputs | Portfolio return 12%; Risk-free rate 4% are treated as percentages and converted to decimals. |
| 3. Preserve list order | No ordered cash-flow or value list is needed for this formula. |
| 4. Apply the formula | Treynor ratio = (Portfolio return - Risk-free rate) / beta |
| 5. Interpret the output | Read the treynor ratio result with the supporting rows from the calculator widget before comparing it with a benchmark. |
When to Use Treynor Ratio Calculator
| Use case | How it helps |
|---|---|
| Portfolio review | Check whether return compensated for the risk taken. |
| Manager comparison | Compare active return, beta exposure, or downside risk across strategies. |
| Loss planning | Estimate drawdown or value-at-risk context before sizing a position. |
Interpreting Treynor ratio
The output evaluates return after adjusting for volatility, downside risk, benchmark behavior, beta, or potential loss.
A better risk-adjusted result means the return was more efficient for the type of risk measured, not that the strategy is risk-free.
Compare the result with a benchmark portfolio, peer manager, risk-free rate, or the same strategy over another period. Risk ratios can be distorted by short histories, stale prices, non-normal returns, or one unusually strong period.
Common Mistakes
| Mistake | Why it matters |
|---|---|
| Mixed time bases | Monthly volatility and annual return must be converted before comparison. |
| Overreading one ratio | Sharpe, Sortino, Treynor, and information ratio measure different risks. |
| Ignoring tail behavior | Normal approximations can understate rare losses. |
Before You Use the Result
| Review point | What to confirm |
|---|---|
| Same-period inputs | Treynor ratio is easier to trust when every input uses the same time period, currency, and quote convention. |
| Benchmark selected | Compare the result with a benchmark portfolio, peer manager, risk-free rate, or the same strategy over another period. |
| Risk and cost review | Check taxes, fees, liquidity, downside risk, and data quality before treating the output as an investment decision. |
| Known limitation | Risk ratios can be distorted by short histories, stale prices, non-normal returns, or one unusually strong period. |
Keep the research moving with Sharpe Ratio Calculator, Sortino Ratio Calculator, Information Ratio Calculator, and Value at Risk Calculator (VaR).
Frequently Asked Questions
Related Calculators
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Use CAGR CalculatorSources & References
- 1.SEC Investor.gov - Financial Calculators(Accessed May 2026)
- 2.Corporate Finance Institute - Investment and Finance Formulas(Accessed May 2026)
- 3.CFA Institute - Investment Foundations(Accessed May 2026)