Jensen's Alpha Calculator

Name: Jensen's Alpha Calculator
Author: Laxman Kumawat

Calculate Jensen alpha using portfolio return, CAPM expected return, beta, and risk-free rate.

Last Updated: May 2026

Alpha

Inputs

Portfolio return

Risk-free rate

Portfolio beta

Market return

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.

Reviewed For Methodology, Labels, And Sources

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.

Review editor profile

Topic Ownership

Financial calculators, Engineering calculators, Electrical and HVAC planning calculators, Investment, salary, loan, and technical design-estimate workflows

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Methodology & Updates

Page updated May 2026. Finance and engineering calculators are reviewed when formulas, rate assumptions, or technical references change, and during broader category refreshes.

Sources & methodology About the review process

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

Jensen alpha uses Rp - [Rf + beta × (Rm - Rf)]. Risk metrics require consistent return periods and matching risk measures. Annual returns should be paired with annual volatility or tracking error.

Jensen's Alpha Calculator uses portfolio return, risk-free rate, portfolio beta, and market return. Keep those inputs on the same time basis and quote convention before reading the result.

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.

Treat the output as decision support. Real investment choices should also account for taxes, liquidity, risk, timing, fees, and professional advice where appropriate.

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.