Buchanan Brothers: Earnings per Share Calculation

Earnings per Share Calculation

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Question

Buchanan Brothers anticipates that its net income at the end of the year will be $3.6 million (before any recapitalization). The company currently has 900,000 shares of common stock outstanding and has no debt. The company's stock trades at $40 a share. The company is considering a recapitalization where it will issue $10 million worth of debt at a yield to maturity of 10 percent, and use the proceeds to repurchase common stock. Assume the stock price remains unchanged by the transaction, and the company's tax rate is 34 percent. What will be the company's earnings per share if it proceeds with the recapitalization?

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A

After issuing the debt, the company can repurchase $10,000,000/$40 = 250,000 shares leaving 650,000 shares outstanding. We still need to find the expected NI after issuing the debt. We're given the anticipated NI is $3.6 million. Thus, the EBIT (before the debt issue) can be found as follows: $3,600,000 = EBIT(1 - 0.34) or

EBIT = $5,454,545.45. The company will pay $1,000,000 in interest after issuing the debt so the new EBT will be $5,454,545.45 - $1,000,000 = $4,454,545.45.

Also, the new NI figure will be: $4,454,545.45(1 - 0.34) = $2,940,000. Finally, $2,940,000/650,000 = $4.52 is the EPS after the recapitalization.

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