问题如下:
Trumpit Resorts Company currently has 1.2 million common shares of stock outstanding and the stock has a beta of 2.2. It also has $10 million face value of bonds that have five years remaining to maturity and 8 percent coupon with semi-annual payments, and are priced to yield 13.65 percent. If Trumpit issues up to $2.5 million of new bonds, the bonds will be priced at par and have a yield of 13.65 percent; if it issues bonds beyond $2.5 million, the expected yield on the entire issuance will be 16 percent. Trumpit has learned that it can issue new common stock at $10 a share. The current risk-free rate of interest is 3 percent and the expected market return is 10 percent. Trumpit’s marginal tax rate is 30 percent. If Trumpit raises $7.5 million of new capital while maintaining the same debt-to-equity ratio, its weighted average cost of capital is closest to:
选项:
A. 14.5 percent.
B. 15.5 percent.
C. 16.5 percent.
解释:
B is correct.
Capital structure:Market value of debt: FV = $10,000,000, PMT = $400,000, N = 10,I/YR = 13.65%/2. Solving for PV gives the answer $7,999,688.Market value of equity: 1.2 million shares outstanding at $10 = $12,000,000
To raise $7.5 million of new capital while maintaining the same capital structure, the company would issue $7.5 million × 40% = $3.0 million in bonds, which results in a before-tax rate of 16 percent.
rd(1 − t) = 0.16(1 − 0.3) = 0.112 or 11.2%
re = 0.03 + 2.2 (0.10 − 0.03) = 0.184 or 18.4%
WACC = [0.40(0.112)] + [0.6(0.184)] = 0.0448 + 0.1104 = 0.1552 or 15.52%
题干是想问,如果新融资7.5m,在不改变D/E的情况下求WACC对么?根据目前的融资成本,债是40%,股是60%,所以新融资的7.5m中3m要发债,剩下4.5m要发股对么?根据题干,发债超过2.5对回报有影响,但是发股没影响,所以3m的债对wacc计算有影响,4.5m的股对于WACC没有影响对么?