Answer:
Hence, the weighted average cost of capital is 15.87%.
Explanation:
We have to find current weights,
Value of equity = Shares x Share price = 0.2 x 10 = $2 million
Face Value of Bonds FV = $1 million
Semi annual coupon P = 1 x 8% / 2 = $0.04 million
Number of coupons remaining n = 5 x 2 = 10
Semi annual yield r = 13.65% / 2 = 6.825%
Value of Debt = Px [1 - (1 + r)-n] / r + FV / (1 + r)n
= 0.04 x [1 - (1 + 0.06825)-10] / 0.06825 + 1 / (1 + 0.06825)10
= $0.8 million
Total Value = 2 + 0.8 = $2.8 million
Weight of Debt = 0.8 / 2.8 = 28.57%
Weight of Equity = 2 / 2.8 = 71.45%
Amount of Debt to be raised = Weight of debt x Capital
= 0.2857 x 7.5
= $2.14 million
Since the amount of debt to be raised is less than $2.5 million, the yield will be 13.65%
Cost of Equity = Risk Free Rate + Beta x (Market Return - Risk Free Rate)
= 3% + 2.2 x (10 - 3)
= 18.4%
The weighted average cost of capital:-
WACC = Weight of Debt x Cost of Debt x (1 -Tax Rate) + Weight of Equity x Cost of Equity
= 0.2857 x 13.65% x (1 - 0.3) + 0.7145 x 18.4%
= 15.87%
