Jensen's Alpha

Return Metrics
Updated Apr 2026 Has calculator

The excess return a portfolio earns above what CAPM predicts given its level of systematic risk.

What is Jensen's Alpha?

Jensen's Alpha measures a portfolio manager's value-added by comparing actual returns to the CAPM benchmark return. A positive alpha means the manager generated returns above what could be attributed to market exposure alone — genuine outperformance net of systematic risk. A negative alpha indicates the manager underperformed their risk-adjusted benchmark. Alpha is calculated as the actual return minus the CAPM expected return: α = R_actual − [Rf + β(Rm − Rf)]. Because alpha is risk-adjusted, comparing alphas across portfolios with different betas is more meaningful than comparing raw returns. Alpha is at the core of active fund management evaluation and is used alongside the Sharpe ratio and Information Ratio to assess manager skill.

Formula

α = R_actual − [Rf + β × (Rm − Rf)]

Worked Example

Worked example — Hypothetical Active Equity Fund

Calendar Year 2023

Step 1  Fund actual return: 28.50%
Step 2  Risk-free rate (10-yr Treasury): 4.30%
Step 3  Fund beta: 1.10
Step 4  S&P 500 return: 26.29%
Step 5  CAPM expected: 4.30% + 1.10×(26.29%−4.30%) = 4.30% + 24.19% = 28.49%
Step 6  α = 28.50% − 28.49% = 0.01%
Step 7  → Essentially zero alpha: all of the fund's gain is explained by market exposure

Source: CFA Institute — Portfolio Management, 7th ed. (2023-01-01)

Calculate Jensen's Alpha

Portfolio's total return for the period

10-year US Treasury yield

Portfolio's beta against the benchmark

Return of the benchmark index for the same period

Jensen's Alpha

Not investment advice.

How to Interpret Jensen's Alpha

< -2
Negative Alpha — significant underperformance vs CAPM
-2 – 0
Slight Underperformance — marginally below expectation
0 – 2
Slight Outperformance — marginal positive skill signal
> 2
Strong Positive Alpha — meaningful risk-adjusted outperformance

📚 Portfolio Performance — Complete the path

  1. Sharpe Ratio
  2. Sortino Ratio
  3. Treynor Ratio
  4. Jensen's Alpha
  5. Information Ratio