Treynor Ratio Calculator

How to use this calculator

Enter three values: your Portfolio Return (annual return in %), the Risk-Free Rate (current 3-month T-bill yield works well), and your Portfolio Beta (a measure of how much your portfolio moves relative to the broad market).

The calculator returns the Treynor ratio, your excess return above the risk-free rate, and a sensitivity table showing how the ratio changes across different beta values.

The Treynor ratio formula

Where:

• Rp = Portfolio return (annualized)
• Rf = Risk-free rate (3-month T-bill or equivalent)
• β = Portfolio beta (sensitivity to market movements)

The numerator is the excess return — what you earned beyond what a risk-free investment would have paid. The denominator is beta, which captures only systematic (market) risk, not total volatility.

This distinction from the Sharpe ratio is the whole point. If your portfolio is part of a larger diversified holding, unsystematic risk is gone. You’re only bearing market risk, so market risk is the right denominator.

Treynor ratio benchmark guide

Treynor Ratio	Interpretation
Below 0.00	Portfolio underperformed the risk-free rate on beta-adjusted basis
0.00–0.03	Poor; significant below-market performance
0.03–0.05	Below average; roughly in line with a 60/40 portfolio
~0.050	S&P 500 long-run average benchmark
0.05–0.08	Above average; solid outperformance
0.08–0.12	Very good; strong risk-adjusted performance
Above 0.12	Excellent; scrutinize for persistence and selection bias

Historical reference points:

• S&P 500 (long-run): ~0.040–0.055
• Classic 60/40 portfolio: ~0.040–0.060 (lower beta pulls ratio up slightly)
• Well-managed active equity funds: 0.060–0.090
• Negative values: any portfolio that returned less than T-bills

A Treynor ratio meaningfully above 0.08 warrants two questions: how long was the measurement period, and was it a bull market exclusively? One-year bull-market data routinely produces inflated ratios. You need 5+ years across market cycles before the number means anything reliable.

When the Treynor ratio beats the Sharpe ratio

The Treynor ratio is the right tool when you’re evaluating a single fund within a larger diversified portfolio.

Consider a pension fund holding 20 different asset classes. Each individual holding carries both systematic risk (market exposure) and unsystematic risk (company, sector, or style-specific exposure). When you hold all 20 together, the unsystematic risks cancel out through diversification. What remains is market risk.

In this context, comparing funds by Sharpe ratio penalizes a fund for risk that the broader portfolio has already eliminated. The Treynor ratio focuses on what actually matters: the excess return per unit of the only risk that’s left.

Institutional allocators — pension funds, endowments, sovereign wealth funds — tend to use Treynor precisely for this reason. When a portfolio manager is hired to run one sleeve of a $50 billion fund, the relevant question isn’t “how volatile was your fund in isolation?” but “how much did you contribute per unit of market risk?”

For individual investors who hold a single fund as their entire portfolio, the Sharpe ratio is more appropriate. The Treynor ratio assumes diversification has occurred; if it hasn’t, you’re missing unsystematic risk in the denominator.

Beta and what it actually measures

Beta is a regression coefficient. It tells you how many percentage points your portfolio moves, on average, for every 1% move in the benchmark.

A beta of 0.8 means your fund tends to rise 0.8% when the market rises 1%, and fall 0.8% when the market falls 1%. A beta of 1.5 means 1.5% moves in both directions. Beta of 1.0 means the fund tracks the market almost exactly.

What beta does not capture: unsystematic risk. A concentrated tech fund might have a beta of 1.0 but enormous company-specific volatility. Beta tells you nothing about that. The Treynor ratio, by dividing by beta, only measures how well the fund compensated you for the market exposure you took — not the idiosyncratic risk.

This is a feature, not a bug, when the portfolio is diversified. It’s a blind spot when it isn’t.

Where to find beta:

• Morningstar fund pages (3-year and 5-year beta)
• Fund fact sheets and prospectuses
• Bloomberg Terminal (for institutional users)
• Yahoo Finance (for individual stocks and ETFs)

Use 36-month or 60-month beta for stability. Shorter periods produce noisy estimates.

Real-world interpretation with examples

Example 1: Two funds, same return, different beta

Fund	Return	Risk-Free	Beta	Excess Return	Treynor
Fund A	12%	4.5%	0.80	7.5%	0.094
Fund B	12%	4.5%	1.40	7.5%	0.054

Fund A and Fund B both returned 12%. But Fund A achieved that with a beta of 0.8 — it took on 20% less market risk than the index and still matched Fund B’s return. Fund A’s Treynor ratio is 0.094 vs 0.054 for Fund B. On a beta-adjusted basis, Fund A is 74% better.

Example 2: Higher return, worse Treynor

Fund	Return	Risk-Free	Beta	Excess Return	Treynor
Fund C	18%	4.5%	2.10	13.5%	0.064
Fund D	13%	4.5%	1.00	8.5%	0.085

Fund C returned 18% to Fund D’s 13%. But Fund C had a beta of 2.1 — it took more than twice the market risk. After adjusting for that, Fund D has the better Treynor ratio. An investor comparing only raw returns would choose Fund C. An investor using Treynor correctly identifies Fund D as the superior risk-adjusted performer.

Limitations of the Treynor ratio

The Treynor ratio has real weaknesses worth understanding before you rely on it.

1. Assumes a well-diversified portfolio. If you’re holding just one or two funds, unsystematic risk is still present in your portfolio. Using Treynor in this case gives you an incomplete picture of risk. Use Sharpe instead.

2. Single-period measurement. Beta and returns both change over time. A fund with a Treynor ratio of 0.08 over the last three years may have had a ratio of -0.02 during the preceding bear market. Single-period measurement misses the distribution of outcomes.

3. Backward-looking beta. Beta is estimated from historical returns. Future beta can and does differ from historical beta. Funds that shift strategy — a value fund that drifts into growth — can have significantly different beta going forward.

4. Same benchmark required. You can only compare Treynor ratios across funds measured against the same benchmark. Comparing a domestic equity fund to an emerging markets fund using Treynor is meaningless unless both betas were calculated against the same index.

5. Doesn’t capture tail risk. A fund that earns steady returns but occasionally experiences catastrophic losses (think: strategies that short volatility) can look excellent on Treynor. The ratio gives no warning about skewness or kurtosis in the return distribution.

How to combine Treynor with other metrics

No single ratio tells the whole story. I use Treynor alongside:

Sharpe ratio: Cross-check. If a fund has a high Treynor but a low Sharpe, it’s carrying a lot of unsystematic risk. That may be fine if you’re diversified, but it’s worth knowing.

Jensen’s alpha: Treynor tells you the ratio of excess return to beta. Jensen’s alpha tells you the absolute outperformance above CAPM’s prediction. A fund with Treynor = 0.08 and Jensen’s alpha = +3% is generating real excess returns. A fund with Treynor = 0.08 because its beta is low and the market ran hard might have zero or negative Jensen’s alpha.

Information ratio: Measures excess return per unit of active risk (tracking error). If you’re evaluating an active manager, the information ratio tells you how consistently they generate alpha relative to their benchmark bets.

Sortino ratio: Ignores upside volatility, only penalizes downside deviation. Useful when a fund has high upside volatility that inflates the Sharpe denominator but isn’t actually harmful to investors.

The most complete picture comes from looking at 3-4 metrics across multiple time periods, including at least one market downturn.

Common mistakes when using the Treynor ratio

Mistake 1: Comparing across asset classes. A bond fund with a beta of 0.2 and a Treynor of 0.10 is not comparable to an equity fund with a beta of 1.0 and a Treynor of 0.08. The bond fund’s beta was calculated against a different market. Cross-asset Treynor comparisons are meaningless.

Mistake 2: Using instantaneous beta. Beta calculated over the last 12 months is noisy and can swing dramatically. Use 3-year or 5-year beta for stable comparisons. Short-period beta estimates are dominated by recent volatility regimes and aren’t predictive.

Mistake 3: Ignoring the risk-free rate. Many investors use a constant 2% risk-free rate even when T-bills yield 4–5%. This inflates the excess return and makes the Treynor ratio look better than it is. Always use the current rate for the period you’re measuring.

Mistake 4: Cherry-picking bull market periods. A fund measured from March 2020 to December 2021 will look extraordinary on any metric. Always measure across at least one full market cycle — a drawdown and recovery. If you can’t find a period that includes a 20%+ market decline, the measurement is incomplete.

Mistake 5: Treating a one-year result as meaningful. Even a well-run fund can have one exceptional year through luck. Statistical significance for alpha and Treynor measures requires 5–10 years of data minimum.

Practical use: evaluating fund managers

When I’m evaluating an active fund manager, I use Treynor as a primary screen. Here’s the process I follow:

1. Get the fund’s beta from Morningstar or the fund’s fact sheet. I prefer 5-year beta for stability.

2. Calculate the Treynor ratio for the same period using the fund’s annualized return and the 3-month T-bill rate during that period.

3. Compare against the benchmark. The S&P 500’s Treynor ratio over the same period is the baseline. If the fund’s Treynor doesn’t beat it, the manager isn’t adding value — you’d be better off in a passive index fund at lower cost.

4. Check Jensen’s alpha. If Treynor is above benchmark, calculate Jensen’s alpha to confirm the outperformance is real and not just an artifact of beta timing.

5. Check multiple periods. Measure 3-year, 5-year, and 10-year Treynor separately. A manager who looks good on 5 years but poor on 10 likely had one exceptional run followed by mean reversion.

6. Adjust for fees. Everything above is gross-of-fees. A fund with Treynor = 0.070 gross but a 1.2% expense ratio probably has a net Treynor below 0.060 — marginal outperformance at best, and not worth the fee.

The Treynor ratio won’t tell you if a manager will outperform next year. No metric does that reliably. What it tells you is whether the manager has demonstrated risk-adjusted skill over the available historical record. That’s still the best information we have.