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NISM Certifications · NISM-Series-X-A: Investment Adviser (Level 1) · Portfolio Performance Measurement and Evaluation

A portfolio returned 12% with a beta of 0.9. The risk-free rate is 6% and the market return is 11%. What is Jensen's alpha?

Jensen's alpha is +1.50%. The CAPM required return is 6% plus 0.9 times the 5% market premium, which is 10.5%. The portfolio earned 12%, so it outperformed the risk-adjusted benchmark by 1.5 percentage points.

  1. A1.50%Correct
  2. B0.00%
  3. C-1.50%
  4. D6.00%

Explanation

Expected return by CAPM = 6 + 0.9 x (11 - 6) = 6 + 4.5 = 10.5%. Alpha = actual 12% - expected 10.5% = 1.5%. A result of -1.5% reverses the subtraction. Using 12 - 6 = 6% ignores risk adjustment and gives the plain excess return.

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