Question

Change Corporation expects an EBIT of $57,000 every year forever. The company currently has no debt, and its cost of equity is 13 percent. The corporate tax rate is 23 percent. a. What is the current value of the company? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-1. Suppose the company can borrow at 10 percent. What will the value of the firm be if the company takes on debt equal to 30 percent of its unlevered value? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-2. Suppose the company can borrow at 10 percent. What will the value of the firm be if the company takes on debt equal to 100 percent of its unlevered value? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c-1. What will the value of the firm be if the company takes on debt equal to 30 percent of its levered value? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c-2. What will the value of the firm be if the company takes on debt equal to 100 percent of its levered value? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Answer 1

Answer:

a) $337,615.38

b-1) $360,910.85

b-2) $415,266.92

c-1) $362,637.36

c-2) $438,461.54

Explanation:

a) To find the current value of the company, we have:

$\frac{57,000*(1 - 0.23)}{0.13}$

= $\frac{57,000*0.77}{0.13}$

= $337,615.38

b-1) If the company takes on debt equal to 30 percent of its unlevered value.

337,615.38 + (0.23 * 337,615.38 * 0.30)

= $360,910.85

b-2) When the company can borrow at 10 percent. The value of the firm if the company takes on debt equal to 100 percent of its unlevered value will be:

337,615.38 + (0.23 * 337,615.38 * 1)

= $415,266.92

c-1) The value of the firm if the company takes on debt equal to 30 percent of its levered value:

$\frac{337,615.38} {(1 - 0.23) * 0.30}$

= $362,637.36

c-2) The value of the firm if the company takes on debt equal to 100 percent of its levered value:

$\frac{337,615.38} {(1 - 0.23) * 0.1}$

= $438,461.54