The market value weight of equity is calculated as:
Market value weight of equity = (Number of shares outstanding * Price per share) / Total market value
Total market value = Market value of equity + Market value of debt
Market value of equity = Number of shares outstanding * Price per share
Market value of debt = First bond issue price + Second bond issue price
First bond issue price = $70,000,000 * 1.01 = $70,700,000
Second bond issue price = $40,000,000 * 1.03 = $41,200,000
Market value of debt = $70,700,000 + $41,200,000 = $111,900,000
Total market value = $111,900,000 + (9.2 million * $37) = $476,500,000
Market value weight of equity = (9.2 million * $37) / $476,500,000 = 71.79%
The market value weight of debt is calculated as:
Market value weight of debt = Market value of debt / Total market value
Market value weight of debt = $111,900,000 / $476,500,000 = 23.50%
The cost of equity is calculated using the CAPM:
Cost of equity = Risk-free rate + Beta * Market risk premium
Cost of equity = 4.2% + 0.7 * 6.5% = 8.47%
The overall cost of debt is the weighted average of the two outstanding debt issues:
Coupon payment for first bond issue = ($70,000,000 * 6.5%) / 2 = $2,275,000
Coupon payment for second bond issue = ($40,000,000 * 6%) / 2 = $1,200,000
Total coupon payment = $2,275,000 + $1,200,000 = $3,475,000
Weighted average coupon rate = ($70,000,000 * 6.5% + $40,000,000 * 6%) / ($70,000,000 + $40,000,000) = 6.44%
After-tax cost of debt = 6.44% * (1 - 0.30) = 4.51%
The WACC is calculated as:
WACC = (Market value weight of equity * Cost of equity) + (Market value weight of debt * Cost of debt