Answer:
The firm's weighted average cost of capital (WACC) is 7.76%.
Explanation:
Note: Par value of the preferred stock is $100 but it is omitted in the question.
Market price share = (Dividend just paid (1 + Dividend growth rate)) / (Cost of equity – Dividend growth rate) ………………………………….. (1)
Substituting the relevant values into equation and solve for cost of equity, we have:
36 = (1.64 * (1 + 0.028)) / (Cost of equity – 0.028)
36 = 1.68592/ (Cost of equity – 0.028)
36(Cost of equity – 0.028) = 1.68592
36Cost of equity - 1.008 = 1.68592
36Cost of equity = 11.68592 + 1.008
Cost of equity = (1.68592 + 1.008) / 36
Cost of equity = 0.0748, or 7.48%
Cost of preferred stock = (Par value * Dividend rate) / Current price = (100 * 6%) / 51 = 0.1176, or 11.76%
Cost of debt = Coupon rate * (100% - tax rate) = 8% * (100% - 34%) = 0.0528, or 5.28%
Common stock market value = 58,000 * $36 = $2,088,000
Preferred market value = 12,000 * $51 = $612,000
Bond market value = $750,000 * ($1,011 / $1,000) = $758,250
Total market value of the company = Common stock market value + Preferred market value + Bond market value = $2,088,000 + $612,000 + $758,250 = $3,458,250
WACC = (7.48% * ($2,088,000 / $3,458,250)) + (11.76% * (612,000 / $3,458,250)) + (5.28% * ($758,250/ $3,458,250)) = 0.0776, or 7.76%
