Jensen's Alpha Calculator
Calculate Jensen alpha using portfolio return, CAPM expected return, beta, and risk-free rate.
Last Updated: May 2026
Alpha
Inputs
Jensen's Alpha
2.40%
CAPM Expected Return
10.60%
Portfolio Return
13.00%
Beta
1.1
Calculation Details
| Item | Value |
|---|---|
| Risk-free rate | 4.00% |
| Market return | 10.00% |
Investment Planning Notice
Results support education and scenario analysis. They do not provide personalized investment, tax, accounting, or legal advice.
Professional Review Status
This YMYL page has internal methodology review, but no external credentialed professional review is recorded yet.
- Reliance status
- Credentialed finance review required before advice-like claims
- Required credentials
- CFP professional, CFA charterholder, CPA, licensed financial professional
- Review scope
- assumptions, amortization logic, risk language, offer-comparison language, affordability guidance, and disclosure placement
Current reviewer: Laxman Kumawat, Internal finance formula and engineering methodology reviewer (Electrical and power-system related certifications).
This page provides educational estimates, not individualized financial advice, lending advice, investment advice, or a product recommendation.
Finance credentialed review: professional reliance limit
This page provides educational estimates, not individualized financial advice, lending advice, investment advice, or a product recommendation. Results should be treated as a preliminary estimate, not a filing instruction, diagnosis, product recommendation, eligibility decision, or compliance sign-off. Required professional review: CFP professional, CFA charterholder, CPA, licensed financial professional. Source expectation: Review should cite official lender, regulator, tax, or standards-body sources when the calculator depends on external rules.
Checked by Laxman Kumawat
Jensen's Alpha Calculator is checked for formula labels, source links, and result limits.
Laxman Kumawat, Finance & Engineering Calculator Owner. Updated May 2026. Scope: financial calculators.
Finance credentialed review: Named internal reviewer: Laxman Kumawat, Finance & Engineering Calculator Owner. External credentialed professional review is still required before this page is treated as professional advice.
Internal finance formula and engineering methodology reviewer. Review scope: calculator formulas, input labels, rate assumptions, scenario workflows, and user-facing limitations.
Credentials on file: Electrical and power-system related certifications.
Relevant review context: Professional background across engineering, sustainability, and energy-efficiency work; CalculatorWallah finance and engineering calculator owner.
Required professional credentials: CFP professional, CFA charterholder, CPA, licensed financial professional. Scope: assumptions, amortization logic, risk language, offer-comparison language, affordability guidance, and disclosure placement.
This page provides educational estimates, not individualized financial advice, lending advice, investment advice, or a product recommendation.
How to Use the Jensen's Alpha Calculator
Step 1: Set Portfolio return
Start with portfolio return such as 13% so the jensen alpha calculation has the correct base.
Step 2: Complete the scenario inputs
Add risk-free rate, portfolio beta, and market return using the same period and quote convention as your source data.
Step 3: Review Jensen alpha
Read the jensen alpha 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 Jensen's Alpha Calculator Works
Jensen's Alpha Calculator applies Rp - [Rf + beta × (Rm - Rf)] 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 Jensen alpha using portfolio return, CAPM expected return, beta, and risk-free rate. 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 | 13% | 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 | 1.1 | Use the portfolio beta from the same scenario as the other inputs. |
| Market return | 10% | Use the market return from the same scenario as the other inputs. |
Formula Reference
| Metric | Formula | Use |
|---|---|---|
| Jensen alpha | Rp - [Rf + beta × (Rm - Rf)] | Return above CAPM expectation |
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 | 13% | 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 | 1.1 | Used directly as the portfolio beta term in the scenario. |
| Market return | 10% | Converted from a percentage to a decimal before the formula is applied. |
Worked Example Walkthrough
| Step | Example detail |
|---|---|
| 1. Start with the example inputs | Portfolio return: 13%; Risk-free rate: 4%; Portfolio beta: 1.1; Market return: 10% |
| 2. Normalize the inputs | Portfolio return 13%; Risk-free rate 4%; Market return 10% 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 | Jensen alpha = Rp - [Rf + beta × (Rm - Rf)] |
| 5. Interpret the output | Read the jensen alpha result with the supporting rows from the calculator widget before comparing it with a benchmark. |
When to Use Jensen's Alpha 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 Jensen alpha
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 | Jensen alpha 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, Treynor Ratio Calculator, and Information Ratio Calculator.
Frequently Asked Questions
Related Calculators
Sharpe Ratio Calculator
Calculate Sharpe ratio from portfolio return, risk-free rate, and volatility.
Use Sharpe Ratio CalculatorSortino Ratio Calculator
Calculate Sortino ratio from portfolio return, target return, and downside deviation.
Use Sortino Ratio CalculatorTreynor Ratio Calculator
Calculate Treynor ratio from portfolio return, risk-free rate, and beta.
Use Treynor Ratio CalculatorInformation Ratio Calculator
Measure active return per unit of tracking error against a benchmark.
Use Information Ratio CalculatorRelated Guides
Sources & 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)