Explanation
Using the Capital Asset Pricing Model (CAPM):
Formula: Expected return on stock = Risk-free rate + Beta × (Market return - Risk-free rate)
Given:
- Expected return on stock = 12%
- Risk-free rate = 6%
- Beta = 1.5
- Market return = 10%
Calculation:
12%=6%+1.5×(10%−6%)
12%=6%+1.5×4%
12%=6%+6%
12%=12% ✓
The market risk premium is defined as:
Market Risk Premium=Market Return−Risk-free Rate
Market Risk Premium=10%−6%=4%
Therefore, the market risk premium is 4%, which corresponds to option B.