Answer:
The Company WACC is 6.1%
Explanation:
WACC is the averge cost of capital that a company bears based on the weights of each financing option available to the company.
First we need to calculate the Market values
Debt = $50 M x $1,050 / $1,000 = $52.5 M
Common Equity = $30 M
Preferred equity = $20 M x $90 / $100 = $18 M
Total Capital = $52.5 M + $30 M + $18 M = $100.5
Now we need to calculte the Cost of each financing option
Cost of Debt
Price of Bond = C x ( 1 - ( 1 + YTM )^-n / r + Face value / ( 1 + YTM )^n
$1,050 = $60 x ( 1 - ( 1 + YTM )^-5 / YTM + $1,000 / ( 1 + YTM )^5
YTM = 4.85%
Cost of Common Equity = 12%
Cost of Preseferred Stock = $5 / $90 = 0.05556 = 5.56%
Now use following fomula to calculte the WACC
WACC = ( Common Equity weight x Cost of Common equity ) + ( Weight of Debt x Cost of Debt x ( 1 - Tax rate ) + ( Weight of Preferred Shares x Cost of Preferred Shares )
Now Place all the valus in the formula
WACC = ( $30 / $100.5 x 12% ) + ( $52.5 / $100.5 x ( 1 - 40% ) x 4.85% ) + ( $18 / $100.5 x 5.56% )
WACC = 3.58% + 1.52% + 1.00% = 6.1%