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Can someone please explain to me what is happening here? How are they getting the 27,000 EBIT? Please don’t judge me I haven’t had a finance class in years and I haven’t had time to read this chapter intensely, only listened to lecture.
A company currently has 1,000 shares of common stock outstanding with zero debt. It has the choice of raising an additional $100,000 by issuing 9% long-term debt, or issuing 500 shares of common stock. The company has a 40% tax rate. What level of earnings before interest and taxes (EBIT) would result in the same earnings per share (EPS) for the two financing options?
a. An EBIT of $27,000 would result in EPS of $10.80 for both.
b. An EBIT of $18,000 would result in EPS of $7.20 for both.
c. An EBIT of $10,800 would result in EPS of $7.92 for both.
d. An EBIT of $27,000 would result in EPS of $7.20 for both.
Explanation
Choice “a” is correct. Earnings before interest and taxes (EBIT) of $27,000 would produce identical EPS amounts of $10.80 under both the equity and debt financing assumptions provided in the fact pattern.
Equity Financing Debt Financing
EBIT $ 27,000 $ 27,000
Interest expense 0 (9,000)
(100,000 × 9%)
Operating income 27,000 18,000
Taxes (40%) (10,800) (7,200)
Net income 16,200 10,800
÷ Shares outstanding 1,500 1,000
EPS $10.80 $10.80
Choice “d” is incorrect. An EBIT of $27,000 produces an EPS of $10.80 for each financing choice.
Choice “b” is incorrect. An EBIT of $18,000 produces an EPS of $7.20 for equity financing and $5.40 for debt financing.
Choice “c” is incorrect. An EBIT of $10,800 produces an EPS of $4.32 for equity financing and $1.08 for debt financing.
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