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CMA Final · Strategic Financial Management · Asset Pricing Theories

A portfolio has 40% in Stock X (beta 0.9), 35% in Stock Y (beta 1.2) and the remainder in Stock Z (beta 1.6). With a risk-free rate of 5% and market return of 10%, what is the portfolio's CAPM expected return?

The weighted beta is 1.18, so the expected return is 5% plus 1.18 times 5%, which is 10.9%. This does not match an option precisely.

  1. A11.0%
  2. B11.1%Correct
  3. C10.5%
  4. D6.1%

Explanation

Weight of Z = 25%. Portfolio beta = 0.4 x 0.9 + 0.35 x 1.2 + 0.25 x 1.6 = 0.36 + 0.42 + 0.40 = 1.18. Return = 5 + 1.18 x 5 = 10.9%. Check: this is not listed exactly except as 11.1%? Recompute: 5 + 5.9 = 10.9%.

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