Enter Finance Return Data
Example Data Table
This sample shows six monthly returns for one asset and its benchmark market index.
| Period | Asset Return | Market Return | Comment |
|---|---|---|---|
| Month 1 | 2.10% | 1.50% | Asset outperformed market. |
| Month 2 | -1.40% | -0.80% | Asset fell more than market. |
| Month 3 | 3.20% | 2.60% | Both returns were positive. |
| Month 4 | 0.80% | 1.10% | Asset lagged benchmark. |
| Month 5 | 4.10% | 3.00% | Strong active return appeared. |
| Month 6 | -0.70% | -0.30% | Loss was larger than benchmark. |
Formula Used
Beta formula:
Beta = Covariance(Asset Returns, Market Returns) / Variance(Market Returns)
Alpha formula:
Alpha = Average Asset Return - [Risk-Free Rate + Beta × (Average Market Return - Risk-Free Rate)]
CAPM expected return:
Expected Return = Risk-Free Rate + Beta × Market Risk Premium
Beta measures how strongly an asset moves with the market. A beta above 1 suggests higher market sensitivity. A beta below 1 suggests lower sensitivity. Alpha measures excess return after adjusting for market risk. Positive alpha suggests better risk-adjusted performance. Negative alpha suggests underperformance.
How to Use This Calculator
- Enter asset or portfolio returns as comma-separated percentages.
- Enter matching market benchmark returns in the same order.
- Add the risk-free rate for the same return period.
- Select the period type for your own reference.
- Press the calculate button to view alpha and beta.
- Review CAPM return, standard deviation, correlation, and R-squared.
- Use the CSV button to save structured result data.
- Use the PDF button to print or archive the summary.
Understanding Alpha and Beta in Finance
What Alpha Shows
Alpha is a key measure of active investment performance. It compares actual return with expected return. The expected return usually comes from the capital asset pricing model. This model adjusts return for market risk. A positive alpha means the investment earned more than expected. A negative alpha means it earned less than expected. Investors use alpha to judge manager skill. They also use it to compare funds with similar risk.
What Beta Shows
Beta measures market sensitivity. It shows how much an asset reacts to benchmark movement. A beta of 1 means the asset usually follows the market. A beta above 1 means larger swings are expected. A beta below 1 means smaller swings are expected. Negative beta means the asset may move opposite the market. This can happen with hedging assets. It can also happen with special strategies.
Why Both Metrics Matter
Alpha and beta should be reviewed together. Alpha alone does not show market exposure. Beta alone does not show excess return. A fund may have high returns because it accepts high risk. Another fund may create steady value with lower risk. This calculator separates those effects. It estimates risk-adjusted performance using return history. It also displays correlation and R-squared.
Using Results Carefully
Historical data cannot guarantee future performance. Use enough observations for stronger results. Monthly returns often give smoother estimates. Daily returns can be noisy. The benchmark should match the asset strategy. A stock fund should use a relevant equity index. A bond fund should use a bond benchmark. Clean input data improves every result.
Frequently Asked Questions
1. What is alpha in finance?
Alpha measures return above or below the expected risk-adjusted return. Positive alpha suggests outperformance after market risk. Negative alpha suggests underperformance against the model expectation.
2. What is beta in finance?
Beta measures how sensitive an investment is to market movement. A beta near 1 means the asset often moves with the market benchmark.
3. What does beta above 1 mean?
Beta above 1 means the investment may move more sharply than the market. It can offer higher gains during rallies and larger losses during declines.
4. What does negative alpha mean?
Negative alpha means the asset earned less than the CAPM-based expected return. It may show weak risk-adjusted performance for the selected period.
5. How many return values should I enter?
You need at least two matching values. More observations usually improve reliability. Many analysts prefer several months or years of periodic returns.
6. Should the risk-free rate match the return period?
Yes. A monthly return set should use a monthly risk-free rate. Matching periods helps keep the alpha calculation consistent and meaningful.
7. What is R-squared in this calculator?
R-squared shows how much of the asset movement is explained by market movement. A higher value means the benchmark explains returns better.
8. Can this calculator replace financial advice?
No. It supports analysis only. Investment choices should also consider goals, fees, taxes, liquidity, risk tolerance, and professional advice when needed.