Answer:
4.67%
Explanation:
Data provided in the question:
Risk-free rate = 1% = 0.01
yield to maturity on bonds = 3% = 0.03
Market Risk Premium = 7.5% = 0.075
Book value of debt = 47.75 Billion
Stock price = $42.32
shares outstanding = 4255.2 million
Tax rate = 20%
Beta = 0.57
Now,
Weighted average cost of capital
= ( Weight of debt × after tax cost of debt ) + ( weight of equity × cost of equity )
also,
Expected return = Risk free rate + beta × market risk premium
= 1% + ( 0.57 × 7.5% )
= 5.275%
Total value of equity = Stock price × Shares outstanding
= $42.32 × 4255.2 million
= $180.08 billion
Therefore,
WACC
= [47.75 ÷(180.08 + 47.75)] × 3% × (1 - 20%) + [180.08 ÷ (180.08 + 47.75)] × 5.275%
= ( 0.209 × 0.03 × 0.8 ) + ( 0.79 × 0.05275 )
= 0.005016 + 0.0417
= 0.0467
or
= 0.0467 × 100%
= 4.67%