
Explanation:
Jensen's alpha = actual return − expected return using the capital asset pricing model (CAPM)
CAPM E(R) = risk-free rate + beta (return on the market − risk-free rate)
Return on the market − risk-free rate = equity risk premium
Using the Jensen's alpha of 3.25 and the actual return of 14.4%, the expected return from the CAPM must be 14.4 − 3.25 = 11.15%. We can use the CAPM to find the beta of the portfolio:
Expected return = risk-free rate + beta (equity risk premium)
11.15 = 5.25 + β(5.75); therefore, β = approximately 1.026
(Book 1, Module 5.2, LO 5.f)
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Question 30
A portfolio manager is analyzing a portfolio that has a Jensen's alpha of 3.25%. The risk-free rate is 5.25%, the equity risk premium is 5.75%, and the actual portfolio return was 14.4%. The beta of the portfolio is closest to:
A
0.892.
B
0.973.
C
1.000.
D
1.026.
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