Answer:
12%
Step-by-step explanation:
For computing the equity cost of capital first we have to determine the weight of the capital structure after that the WACC and then finally equity cost of capital which is shown below:
Weight of capital structure
For debt
= $200 million ÷ $400 million
= 0.50
For equity
= 50 million × $4 ÷ $400 million
= 0.50
Now the WACC is
= 0.50 11% + 0.50 × 5%
= 8%
Since the value fo equity is declined by
= 50 × $3
= $150
Now the equity cost of capital is
= WACC + (WACC - interest rate) × (debt ÷ equity)
= 8% + (8% - 5%) × (200 ÷ 150)
= 12%