Question

Problem 16-15 MM and Taxes [LO2] Meyer & Co. expects its EBIT to be $111,000 every year forever. The firm can borrow at 8 percent. The company currently has no debt, and its cost of equity is 12 percent and the tax rate is 22 percent. The company borrows $165,000 and uses the proceeds to repurchase shares. a. What is the cost of equity after recapitalization? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the WACC? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answer 1

Answer:

a) 12.87%

b) 11.03%

Explanation:

EBIT with no debt = $111,000

net income = $111,000 x (1 - 22%) = $86,580

total value of the firm with no debt = $86,580 / 12% = $721,500

value of the firm after debt is taken = $721,500 + ($165,000 x 22%) = $757,800

debt to equity ratio after debt is taken = $165,000 / ($757,800 - $165,000) = 27.834%

new cost of equity (Re) = 12% + [(12% - 8%) x 27.834% x (1 - 22%)] = 12.87%

WACC = (0.72166 x 12.87%) + (0.27834 x 8% x 0.78) = 9.288% + 1.737% = 11.025$ = 11.03%