Answer:
Total capital requirement = $50,000,000
Target capital structure: 70% equity and 30 % debt.
Hence:
Equity required = 50000000 * 70% = $35,000,000
Out of equity required, retained earnings available = $10,000,000
Weight of retained earnings = 10000000 / 50000000 = 20%
Hence weights of capital components:
Debt = 30%
Retained earnings = 20%
New Common stock = 50%
Cost of debt:
As the bonds are selling at par value, yield = coupon rate = 8%
Before tax cost of debt = Yield + risk premium = 8% + 0.50% = 8.50%
Cost of equity (Retained earnings):
Cost of equity = (Dividend next year / Price) + growth rate = (3.90 / 32.50) + 5% = 17%
Cost of equity (new common stock):
Issue price = 32.50 - 2 = 30.50
Cost of equity (new common stock) = (Dividend next year / Issue Price (1 - Flotation cost%) + growth rate = (3.90 / (30.50 * (1 - 15%))) + 5% = 20.04%
Hence:
WACC = Cost of new common stock * weight of new common stock + Cost of retained earnings * weight of retained earnings + before tax Cost of debt * (1 - Tax rate) * weight of debt
WACC = 20.04% * 50% + 17% * 20% + 8.50% * (1 - 40%) * 30% = 0.1495 or 14.95%
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