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Effect of Financing on Earnings Per Share Three different plans for financing an

ID: 2335334 • Letter: E

Question

Effect of Financing on Earnings Per Share

Three different plans for financing an $5,000,000 corporation are under consideration by its organizers. Under each of the following plans, the securities will be issued at their par or face amount, and the income tax rate is estimated at 40% of income:

Required:

1. Determine the earnings per share of common stock for each plan, assuming that the income before bond interest and income tax is $10,000,000. Enter answers in dollars and cents, rounding to the nearest cent.

2. Determine the earnings per share of common stock for each plan, assuming that the income before bond interest and income tax is $4,750,000. Enter answers in dollars and cents, rounding to the nearest cent.

Plan 1 Plan 2 Plan 3 10% bonds _ _ $2,500,000 Preferred 5% stock, $80 par _ $2,500,000 1,250,000 Common stock, $5 par $5,000,000 2,500,000 1,250,000 Total $ 5,000,000 $ 5,000,000 $ 5,000,000

Explanation / Answer

Plan 1

Plan 2

Plan 3

Income Before Interest and Taxes

$10,000,000

$10,000,000

$10,000,000

Less: Interest 10% x $2,500,000

0

0

$250,000

Income Before Taxes

$10,000,000

$10,000,000

$9,750,000

Income tax at 40%

$4,000,000

$4,000,000

$3,900,000

Profit after tax

$6,000,000

$6,000,000

$5,850,000

Less: Preference dividend

$0

$125,000

$62,500

Net Income

$6,000,000

$5,875,000

$5,787,500

Number of shares outstanding

1,000,000

500,000

250,000

Earnings per share

$6

$11.75

$23.15

EPS rounded off to nearest dollar –

Plan1 = $6

Plan2 = $12

Plan3 = $23

Plan2 = 5% x $2,500,000 = $125,000

Plan3 = 5% x $1,250,000 = $62,500

Plan1 = $5,000,000/$5 = 1,000,000

Plan2 = $2,500,000/$5 = 500,000

Plan3 = $1,250,000/$5 = 250,000

Plan1 = $6,000,000/1,000,000 = $6 per share

Plan2 = $5,875,000/500,000 = $11.75 per share

Plan3 = $5,787,500/250,000 = $23.15 per share

Plan 1

Plan 2

Plan 3

Income Before Interest and Taxes

$4,750,000

$4,750,000

$4,750,000

Less: Interest 10% x $2,500,000

0

0

$250,000

Income Before Taxes

$4,750,000

$4,750,000

$4,500,000

Income tax at 40%

$1,900,000

$1,900,000

$1,800,000

Profit after tax

$2,850,000

$2,850,000

$2,700,000

Less: Preference dividend

$0

$125,000

$62,500

Net Income

$2,850,000

$2,725,000

$2,637,500

Number of shares outstanding

1,000,000

500,000

250,000

Earnings per share

$2.85

$5.45

$10.55

EPS rounded off

$3

$5

$11

Plan2 = 5% x $2,500,000 = $125,000

Plan3 = 5% x $1,250,000 = $62,500

Plan1 = $5,000,000/$5 = 1,000,000

Plan2 = $2,500,000/$5 = 500,000

Plan3 = $1,250,000/$5 = 250,000

Plan1 = $2,850,000/1,000,000 = $2.85 per share

Plan2 = $2,725,000/500,000 = $5.45 per share

Plan3 = $2,637,500/250,000 = $10.55 per share

Plan 1

Plan 2

Plan 3

Income Before Interest and Taxes

$10,000,000

$10,000,000

$10,000,000

Less: Interest 10% x $2,500,000

0

0

$250,000

Income Before Taxes

$10,000,000

$10,000,000

$9,750,000

Income tax at 40%

$4,000,000

$4,000,000

$3,900,000

Profit after tax

$6,000,000

$6,000,000

$5,850,000

Less: Preference dividend

$0

$125,000

$62,500

Net Income

$6,000,000

$5,875,000

$5,787,500

Number of shares outstanding

1,000,000

500,000

250,000

Earnings per share

$6

$11.75

$23.15

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