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CA Final · Advanced Financial Management · Mutual Funds

A fund returned 18% in a year with a beta of 1.2. The risk-free rate is 7% and the expected market return is 14%. What is Jensen's alpha for the fund?

Jensen's alpha is +2.6%. The CAPM expected return is 7% plus 1.2 times the 7% market premium, which gives 15.4%. The fund actually earned 18%, so it beat the risk-adjusted expectation by 2.6 percentage points.

  1. A+2.6%Correct
  2. B-1.6%
  3. C+4.0%
  4. D+1.4%

Explanation

Required return by CAPM = 7 + 1.2 x (14 - 7) = 15.4%. Alpha = 18 - 15.4 = +2.6%. The option +4.0% comes from using beta of 1 (18 - 14), ignoring the fund's risk level.

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