In: Finance
GMC wants to raise an additional of debt as part of the capital that would be needed to expand their project operations.
Calculate the appropriate cost of new debt for the firm.
a. cost of debt for the firm is yield to maturity of the bond. we can use financial calculator for yield to maturity calculation.
interest is paid semi-annually. so maturity, interest payment and calculated yield to maturity will be semi-annual. we need to make semi-annual yield to maturity to annual by multiplying it by 2. also 2% commission needs to be paid on selling price. so current price of the bond will be 98%.
N = semi-annual maturity = 20*2 = 40; PMT = coupon payment = $1,000*9%/2 = 45; PV = current price = -$1,058*98% = -$1,036.84; FV = face value = $1,000 > CPT = compute > I/Y = semi-annual yield to maturity = 4.31%
PV needs to be entered as negative value because it's a cash outflow.
Cost of new debt = 4.31%*2 = 8.62%
b. cost of equity with flotation costs = [last year's dividend*(1+constant dividend growth rate)/(current price*(1-flotation cost)] + constant dividend growth rate
cost of equity with flotation costs = [$2.2*(1+0.06)/($55.8*(1-0.055)] + 0.06 = [($2.2*1.06)/($55.8*0.945)] + 0.06 = ($2.332/$52.731) + 0.06 = 0.0442 + 0.06 = 0.1042 or 10.42%
c. cost of preferred stock = annual dividend/(current price - flotation cost) = $4/($48 - $2) = $4/$46 = 0.0833 or 8.33%
d. WACC = weight of debt*after-tax cost of debt + weight of Preferred stock*cost of Preferred stock + weight of common stock*cost of common stock
after-tax cost of debt = cost of debt*(1-tax rate) = 8.62%*(1-0.25) = 8.62%*0.75 = 6.465%
WACC = 0.35*6.465% + 0.15*8.33% + 0.50*10.42% = 2.26275% + 1.2495% + 5.21% = 8.72%
adjusted WACC for GMC is 8.72%.