Break-even EBIT (with and without taxes). Alpha Company is looking at two different capital structures, one an all-equity firm and the other a levered firm with $ million of debt financing at % interest. The all-equity firm will have a value of $ million and shares outstanding. The levered firm will have 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 %. c. What do you notice about these two break-even EBITs for Alpha Company? a. What is the break-even EBIT for Alpha Company using EPS if there are no corporate taxes?

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?

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.

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.

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