Question

Dinklage Corp. has 6 million shares of common stock outstanding. The current share price is $85, and the book value per share is $8. The company also has two bond issues outstanding. The first bond issue has a face value of $65 million, a coupon rate of 8 percent, and sells for 95 percent of par. The second issue has a face value of $40 million, a coupon rate of 9 percent, and sells for 108 percent of par. The first issue matures in 23 years, the second in 5 years.

Suppose the most recent dividend was $5.70 and the dividend growth rate is 4 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 38 percent. What is the company’s WACC? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answer 1

MV of equity=Price of equity*number of shares outstanding

MV of equity=85*6000000

=510000000

MV of Bond1=Par value*bonds outstanding*%age of par

MV of Bond1=1000*65000*0.95

=61750000

MV of Bond2=Par value*bonds outstanding*%age of par

MV of Bond2=1000*40000*1.08

=43200000

MV of firm = MV of Equity + MV of Bond1+ MV of Bond 2

=510000000+61750000+43200000

=614950000

Weight of equity = MV of Equity/MV of firm

Weight of equity = 510000000/614950000

W(E)=0.8293

Weight of debt = MV of Bond/MV of firm

Weight of debt = 104950000/614950000

W(D)=0.1707

Cost of equity

As per DDM

Price = recent dividend* (1 + growth rate )/(cost of equity - growth rate)

85 = 5.7 * (1+0.04) / (Cost of equity - 0.04)

Cost of equity% = 10.97

Cost of debt

Bond1

K = Nx2

Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2

k=1

K =23x2

950 =∑ [(8*1000/200)/(1 + YTM/200)^k]     +   1000/(1 + YTM/200)^23x2

k=1

YTM1 = 8.4984130742

Bond2

K = Nx2

Bond Price   =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2

k=1

K =5x2

1080 =∑ [(9*1000/200)/(1 + YTM/200)^k]     +   1000/(1 + YTM/200)^5x2

k=1

YTM2 = 7.07

Firm cost of debt=YTM1*(MV bond1)/(MV bond1+MV bond2)+YTM2*(MV bond2)/(MV bond1+MV bond2)

Firm cost of debt=8.4984130742*(61750000)/(61750000+43200000)+7.07*(61750000)/(61750000+43200000)

Firm cost of debt=7.91%

After tax cost of debt = cost of debt*(1-tax rate)

After tax cost of debt = 7.91*(1-0.38)

= 4.9042

WACC=after tax cost of debt*W(D)+cost of equity*W(E)

WACC=4.9*0.1707+10.97*0.8293

WACC =9.93%