Answer:
WACC without debt is higher by = 1.7%
Step-by-step explanation:
The weighted Average cost of Capital (WACC) is the average cost of capital for the different sources of long-term capital available to a firm weighted according to the proportion each source of finance bears to the total capital in the pool..
To determine the amount by which WACC would be higher, is the difference between WACC with and without debt.
WACC using debt
Step 1
Cost of debt = Before tax cost of debt × (1-T)
= 7%× (1-0.21) = 5.5%
Step 2
Market value of debt and equity
Market of debt = 200 million
Market value of equity = $55 × 10 = $550 million
Total market value = 550 + 200 = $750 million
Step 3
WACC with debt = ((5.5%× 200) + (12%.× 550))/ 750
= 10.3%
WACC without debt (i.e only equity)
WACC without debt = cost of equity = 12%
Difference in WACC between with and without debt
= 12%- 10.3%
= 1.7%
The WACC without debt is higher by 1.7%