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Consider a firm with an EBIT of $558,000. The firm finances its assets with $1,0

ID: 2779804 • Letter: C

Question

Consider a firm with an EBIT of $558,000. The firm finances its assets with $1,080,000 debt (costing 6.3 percent) and 208,000 shares of stock selling at $12.00 per share. The firm is considering increasing its debt by $900,000, using the proceeds to buy back 83,000 shares of stock. The firm is in the 30 percent tax bracket. The change in capital structure will have no effect on the operations of the firm. Thus, EBIT will remain at $558,000. Calculate the change in the firm’s EPS from this change in capital structure. (Round your answers to 2 decimal places.)

Explanation / Answer

Current EPS

EBIT = $558,000

Profit before tax = $558,000 - ($1,080,000 × 6.30%)

= $558,000 - $68,040

= $489,960.

Net Income = $489,960 × (1 - 30%)

= $342,972.

Current EPS = $342,972 / 208,000

= $1.65

Current EPS of company is $1.65.

New Capital structure

Value of debt issue = $900,000

Total Value of debt after issue = $1,080,000 + $900,000

= $1,980,000

Number of share remains after repurchase = 208,000 - 83,000

= 125,000.

Profit before tax = $558,000 - ($1,980,000 × 6.30%)

= $558,000 - $124,740

= $433,260

Net Income = $433,260 × (1 - 30%)

= $303,282

New EPS = $303,282 / 125,000

= $2.43

New EPS of company is $2.43

change in EPS = $2.43 - $1.65

= $0.78

Dollar Change in EPS is $.78.

Percentage change in EPS = $0.78 / $1.65

= 47.14%

Percentage change in EPS is 47.14%.

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