In: Finance
Masterson, Inc., has 4.1 million shares of common stock outstanding. The current share price is $84, and the book value per share is $11. The company also has two bond issues outstanding. The first bond issue has a face value of $70 million, has a coupon rate of 5.1 percent, and sells for 98 percent of par. The second issue has a face value of $50 million, has a coupon rate of 5.60 percent, and sells for 108 percent of par. The first issue matures in 20 years, the second in 12 years. The most recent dividend was $3.95 and the dividend growth rate is 5 percent. Assume that the overall cost of debt is the weighted average of that implied by the two outstanding debt issues. Both bonds make semiannual payments. The tax rate is 21 percent. What is the company’s WACC? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) |
MV of equity=Price of equity*number of shares outstanding |
MV of equity=84*4100000 |
=344400000 |
MV of Bond1=Par value*bonds outstanding*%age of par |
MV of Bond1=1000*70000*0.98 |
=68600000 |
MV of Bond2=Par value*bonds outstanding*%age of par |
MV of Bond2=1000*50000*1.08 |
=54000000 |
MV of firm = MV of Equity + MV of Bond1+ MV of Bond 2 |
=344400000+68600000+54000000 |
=467000000 |
Weight of equity = MV of Equity/MV of firm |
Weight of equity = 344400000/467000000 |
W(E)=0.7375 |
Weight of debt = MV of Bond/MV of firm |
Weight of debt = 122600000/467000000 |
W(D)=0.2625 |
Cost of equity |
As per DDM |
Price = recent dividend* (1 + growth rate )/(cost of equity - growth rate) |
84 = 3.95 * (1+0.05) / (Cost of equity - 0.05) |
Cost of equity% = 9.94 |
Cost of debt |
Bond1 |
K = Nx2 |
Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k] + Par value/(1 + YTM/2)^Nx2 |
k=1 |
K =20x2 |
980 =∑ [(5.1*1000/200)/(1 + YTM/200)^k] + 1000/(1 + YTM/200)^20x2 |
k=1 |
YTM1 = 5.2628923903 |
Bond2 |
K = Nx2 |
Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k] + Par value/(1 + YTM/2)^Nx2 |
k=1 |
K =12x2 |
1080 =∑ [(5.6*1000/200)/(1 + YTM/200)^k] + 1000/(1 + YTM/200)^12x2 |
k=1 |
YTM2 = 4.72 |
Firm cost of debt=YTM1*(MV bond1)/(MV bond1+MV bond2)+YTM2*(MV bond2)/(MV bond1+MV bond2) |
Firm cost of debt=5.2628923903*(68600000)/(68600000+54000000)+4.72*(68600000)/(68600000+54000000) |
Firm cost of debt=5.02% |
After tax cost of debt = cost of debt*(1-tax rate) |
After tax cost of debt = 5.02*(1-0.21) |
= 3.9658 |
WACC=after tax cost of debt*W(D)+cost of equity*W(E) |
WACC=3.97*0.2625+9.94*0.7375 |
WACC =8.37% |