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NISM Certifications · NISM-Series-X-A: Investment Adviser (Level 1) · Introduction to Modern Portfolio Theory

A risk-free rate is 6%, the expected market return is 12% and a stock has a beta of 1.5. Using CAPM, what is the required return on the stock?

The required return is 15%. CAPM gives risk-free rate plus beta times market risk premium: 6% + 1.5 x (12% - 6%) = 6% + 9% = 15%. The stock's beta of 1.5 magnifies the 6% market premium to 9%.

  1. A15%Correct
  2. B18%
  3. C9%
  4. D16.5%

Explanation

Required return = 6% + 1.5 x (12% - 6%) = 6% + 9% = 15%. The 18% option wrongly multiplies beta by the market return (1.5 x 12%). The 9% option gives only the risk premium, omitting the risk-free rate.

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