Jensen's Alpha Calculator

Calculate Jensen's alpha to determine whether your portfolio is generating returns above or below what the Capital Asset Pricing Model (Capital Asset Pricing Model (CAPM)) predicts for its level of systematic risk. Positive alpha indicates skilled management; negative alpha suggests underperformance.

Inputs

Results

3.4000% Jensen's Alpha
CAPM Expected Return10.60%
Excess Return over Market4.00%
InterpretationStrong Outperformance
AssessmentThe portfolio meaningfully outperforms its expected return. The manager is adding significant value through stock selection or market timing.

EDUCATION

Understanding Jensen's Alpha

Jensen's alpha, developed by Michael Jensen in 1968, measures the abnormal return of a portfolio relative to the theoretical expected return predicted by the Capital Asset Pricing Model (CAPM). The formula is: α = Rp - [Rf + β(Rm - Rf)], where Rp is the actual portfolio return, Rf is the risk-free rate, β is the portfolio beta, and Rm is the market return. The term in brackets represents the expected return given the portfolio's level of systematic risk.

A positive alpha indicates that the portfolio manager has added value through security selection, market timing, or other active management techniques. A negative alpha suggests the manager underperformed relative to what could have been achieved with a passive index strategy at the same risk level. An alpha of zero means the manager exactly matched the risk-adjusted expectation, earning precisely the return predicted by CAPM for the level of beta exposure.

For example, if a portfolio returned 14% with a beta of 1.1, while the market returned 10% and the risk-free rate was 4%, the expected return per CAPM would be 4% + 1.1 x (10% - 4%) = 10.6%. The Jensen's alpha is 14% - 10.6% = 3.4%, indicating significant value added by the manager. Alpha is widely used in the fund management industry to evaluate portfolio manager skill, often alongside the Sharpe and Treynor ratios for a complete picture of performance.

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