Complete Question:
Alpha company is looking at two different capital structures, one an all-equity firm and the other a leverages firm with $2 million of debt financing at 8% interest. The all-equity firm will have a value of $4 million and 400,000 shares outstanding. The leveraged firm will have 200,000 shares outstanding.
a. Find the break even EBIT for Alpha company using EPS if there are no corporate taxes.
b.Find the break even EBIT for Alpha company using EPS if the corporate tax rate is 30%
c. What do you notice about these two break-even EBITs for Alpha company?
Answer:
Alpha Company
a. Break-even EBIT, using EPS without taxes:
= (EBIT - Interest 1) * (1 - taxes)/No. of shares = (EBIT - Interest 2) * (1 - taxes)/No. of shares
With alternative 1, there are no taxes, so:
= (EBIT - Interest 1)/No. of shares = EBIT - Interest 2)/No. of shares
= (EBIT - 0)/400,000 = EBIT - ($2,000,000 x 8%)/200,000
= (EBIT/400,000( = (EBIT - $160,000)/200,000
cross-multiplying:
EBIT200,000 = EBIT$64,000,000,000
dividing by 200,000:
EBIT = $64,000,000,000/200,000
EBIT = $320,000
b. Break-even EBIT, using EPS with taxes:
= (EBIT - Interest 1) * (1 - taxes)/No. of shares = (EBIT - Interest 2) * (1 - taxes)/No. of shares
= {(EBIT - $0) * (1 - 0.30)}/400,000 = {(EBIT - $160,000) * (1 - 0.30)}/200,000
= EBIT/400,000 = (EBIT - $112,000)/200,000
cross-multiplying:
= EBIT 200,000 = EBIT $44,800,000,000
EBIT = $44,800,000,000/200,000
= $224,000
c. The two break-even EBITs are not the same. When there are taxes, the break-even EBIT is $224,000, less by $96,000.
Step-by-step explanation:
a) Data:
Alternative 1: All Equity:
No. of shares = 400,000
Value of shares = $4,000,000
Debt = $0
Interest on Debt = $0
Alternative 2: Equity + Debt:
No. of shares = 200,000
Value of shares = $2,000,000
Debt = $2,000,000
Interest on Debt = 8% or $160,000
b) Alpha's break-even EBIT is the point when the EBIT under alternative 1 are equal to the EBIT under alternative 2. This implies that under these given alternative financing options, the earnings before interest and taxes are before no matter the alternative chosen.