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An all-equity financed firm has $300 in assets and the stock price is $25

Accounting

An all-equity financed firm has $300 in assets and the stock price is $25. If the firm restructures with 15 percent debt which creates interest expense of $43 per year and the firm's tax rate is 23 percent, what is the break-even EBIT?

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Number of equity shares = total assets /stock price

=> $300/ $25

=>12 shares

 

after restructuring :(15% equity is converted to debt)

the number of shares = 12 * (1- 0.15)

=>10.2 shares

 

now,

EPS under all equity option = EBIT *( 1- 0.23) / 12

 

EPS under restructured option = [EBIT - 43] *(1- 0.23) / 10.2

 

EPS under both options is same under break even EBIT.

=> EBIT *( 1- 0.23) / 12 =[EBIT - 43] *(1- 0.23) / 10.2

=>0.77 EBIT / 12 = [0.77EBIT - 33.11] / 10.2

=>10.2 / 12 *[0.77 EBIT} = [0.77EBIT - 33.11]

=>0.85*[0.77EBIT] = [0.77EBIT - 33.11]

=>0.6545EBIT = 0.77 EBIT -33.11

=>0.1155 EBIT = 33.11

=>EBIT = 33.11 / 0.1155

=>EBIT = $286.67

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