Question

ABC and XYZ are identical firms in all respects except for their capital structures. ABC is all-equity financed with $530,000 in stock. XYZ has the same total value but uses both stock and perpetual debt; its stock is worth $310,000 and the interest rate on its debt is 7.9 percent. Both firms expect EBIT to be $62,222. Ignore taxes. The cost of equity for ABC is _____ percent and for XYZ it is ______ percent.

a. 12.09; 9.82
b. 11.74; 14.47
c. 12.09; 12.48
d. 11.74; 9.82
e. 11.74; 12.48

Answer 1

b. 11.74; 14.47

Step-by-step explanation:

For Cost of Equity:

COE = (EBIT - Interest - Taxes) / Total Equity

ABC Company: EBIT = $62,222, Equity = $530,000, Debt = 0, Tax = 0

COE = ($62,222 - 0 - 0) / $530,000

COE = 11.74

XYZ Company: EBIT = $62,222, Equity = $310,000, Debt = $220,000, Tax = 0, Interest Rate = 7.9% (0.079)

COE = [$62,222 - ($220,000*0.079) - 0] / $310,000

COE = ($62,222 - $17380) / $310,000

= $44842 / $310,000

= 14.465 ≈ 14.47