Question

Filer Manufacturing has 8 million shares of common stock outstanding. The current share price is $74, and the book value per share is $5. Filer Manufacturing also has two bond issues outstanding. The first bond issue has a face value $80 million, has a coupon of 9 percent, and sells for 95 percent of par. The second issue has a face value of $60 million, has a coupon of 10 percent, and sells for 108 percent of par. The first issue matures in 24 years, the second in 8 years. The most recent dividend was $4.6 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 35 percent.

Required:

What is the company's WACC? (Do not round your intermediate calculations.)

a. 10.45%
b. 9.53%
c. 8.6%

Answer 1

10.45%

Step-by-step explanation:

First find the cost of equity for the company

RE = [$4.60*(1.05) / $74] + 0.05

RE = 0.1153, or 11.53%

Then find the YTM on both bond issues

P1 = $950 = $45*PVIFA(R%,48) + $1,000*PVIF(R%,48)

R = 4.767%

YTM = 4.767%×2

YTM = 9.53%

P2 = $1,080 = $50*PVIFA(R%,16) + $1,000*PVIF(R%,16)

R = 4.298%

YTM = 4.298%×2

YTM = 8.60%

Total Debt = 0.95($80,000,000) + 1.08*($60,000,000)

Total Debt = $140,800,000

Weight of D1 = 76,000,000 / 140,800,000

Weight of D1 = 0.5398

Weight of D2 = 64,800,000 / 140,800,000

Weight of D2 = 0.4602

Weighted Average after-tax cost of debt

RD = (1 – 0.35)*[(0.5398)*(0.0953) + (0.4602)(0.086)]

RD = .0592, or 5.92%

Market value of equity = 8,000,000*($74) = $592,000,000

Market value of debt = $140,800,000

Total market value of the company = $592,000,000 + 140,800,000 = $732,800,000

Weights of equity and debt

E/V = $592,000,000 / $732,800,000 = 0.8079

D/V = 1−E/V = 0.1921

WACC = 0.8079(0.1153) + 0.1921(0.0592)

WACC = 0.1045, or 10.45%