Answer:
WACC = 8.97%
Explanation:
total value of equity = $70 x 4,000,000 = $280,000,000
cost of equity:
$70 = $4.4935 / (Re - 4.5%)
Re - 4.5% = 6.42%
Re = 10.92%
total value of debt:
$75 million x 0.95 = $71,250,000
YTM = {70 + [(1,000 - 950)/25]} / [(1,000 + 950)/2] = 72 / 975 = 7.3846%
$60 million x 1.07 = $64,200,000
YTM = {60 + [(1,000 - 1,070)/8]} / [(1,000 + 1,070)/2] = 51.25 / 1,035 = 4.9517%
weighted cost of debt = ($71,250,000 / $135,450,000 x 7.3846%) + ($64,200,000 / $135,450,000 x 4.9517%) = 3.8845% + 2.347% = 6.2315%
total value of the firm = $280,000,000 + $135,450,000 = $415,450,000
equity weight = $280,000,000 / $415,450,000 = 0.674
debt weight = 1 - 0.674 = 0.326
WACC = (0.674 x 10.92%) + (0.326 x 6.2315% x 0.79) = 7.36% + 1.605% = 8.965% = 8.97%
