Explanation:
Jensen's alpha measures the excess return of a portfolio over its expected return based on the Capital Asset Pricing Model (CAPM). The formula for Jensen's alpha is:
Jensen’s alpha=Rp−[Rf+βp(Rm−Rf)]
Where:
- Rp = Portfolio return (7.0%)
- Rf = Risk-free rate (1.0%)
- βp = Portfolio beta (1.2)
- Rm = Market return (5.0%)
Plugging in the values:
Jensen’s alpha=7.0%−[1.0%+1.2×(5.0%−1.0%)]
=7.0%−[1.0%+1.2×4.0%]
=7.0%−[1.0%+4.8%]
=7.0%−5.8%=1.2%
Option B (1.2%) is correct because it accurately reflects the calculation of Jensen's alpha. Option A (0.0%) incorrectly uses the market return instead of the market risk premium, and Option C (2.2%) omits the risk-free rate in the calculation.