FRM Part II · FRM Exam Part II · Alpha (and the Low-Risk Anomaly)
A fund earns a 7% return with a beta of 0.5 to the market. The risk-free rate is 2% and the market return is 8%. A manager claims alpha of 5% because the fund beat cash by 5%. What is the fund's actual CAPM alpha?
The CAPM alpha is 2%. The fund's required return is 2% plus 0.5 times the 6% market premium, or 5%. Subtracting this from the realized 7% leaves 2%; the manager's 5% claim wrongly counts beta compensation as skill.
- A2.0%Correct
- B5.0%
- C0.0%
- D4.0%
Explanation
Expected return = 2% + 0.5 x 6% = 5%. Alpha = 7% - 5% = 2%. The manager's claim of 5% is just the excess return over cash, which includes 3% compensation for market beta exposure.
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