Question

Filer Manufacturing has 7.4 million shares of common stock outstanding. The current share price is $44, and the book value per share is $5. The company also has two bond issues outstanding. The first bond issue has a face value of $68.2 million and a coupon rate of 6.1 percent and sells for 109.2 percent of par. The second issue has a face value of $58.2 million and a coupon rate of 6.6 percent and sells for 107.1 percent of par. The first issue matures in 9 years, the second in 26 years. Suppose the company’s stock has a beta of 1.3. The risk-free rate is 2.2 percent, and the market risk premium is 6.1 percent. Assume that the overall cost of debt is the weighted average implied by the two outstanding debt issues. Both bonds make semiannual payments. The tax rate is 40 percent. What is the company’s WACC?

Answer 1

6.08%

Step-by-step explanation:

WACC = [(market value of equity / total value of financing) x cost of equity] + [(market value of debt / total value of financing) x cost of debt x (1 - tax rate)]

• market value of equity = 7,400,000 shares x $44 = $325,600,000
• total value of financing = $325,600,000 + $74,474,400 + $62,332,200 = $462,406,600
• cost of equity = risk free rate of return + Beta × (market rate of return – risk free rate of return) = 2.2% + 1.3(6.1% - 2.2%) = 2.2% + 5.07% = 7.27%
• market value of debt₁ = $68,200,000 x 1.092 = $74,474,400
• market value of debt₂ = $58,200,000 x 1.071 = $62,332,200
• tax rate = 40%
• cost of debt₁ = yield to maturity = [C + (F - P)/n] / (F + P)/2 = [2,080,100 + (68,200,000 - 74,474,400)/18] / (68,200,000 + 74,474,400)/2 = 1,731,522 / 71,337,200 = 0.0242 x 2 = 4.8545%
• cost of debt₂ = yield to maturity = [C + (F - P)/n] / (F + P)/2 = [1,920,600 + (58,200,000 - 62,332,200)/52] / (58,200,000 + 62,332,200)/2 = 1,841,135 / 60,266,100 = 0.03055 x 2 = 6.11002%

WACC = [(market value of equity / total value of financing) x cost of equity] + [(market value of debt₁ / total value of financing) x cost of debt₁ x (1 - tax rate)] + [(market value of debt₂ / total value of financing) x cost of debt₂ x (1 - tax rate)]

WACC = [($325,600,000 / $462,406,600) x 7.27%] + [($74,474,400 / $462,406,600) x 4.8545% x (1 - 40%)] + [($62,332,200 / $462,406,600) x 6.11002% x (1 - 40%)] = 5.12% + 0.47% + 0.49% = 6.08%