11. The following information is available on a company for the current year.
Net income |
$1,000,000 |
Average number of common shares outstanding |
100,000 |
Details of convertible securities outstanding: |
Convertible preferred shares outstanding |
2,000 |
o dividend/share |
$10 |
o each preferred is convertible into 5 shares of common stock |
Convertible bonds, $100 face value per bond |
$80,000 |
o 8% coupon |
o each bond is convertible into 25 shares of common stock |
Corporate tax rate |
40% |
The company’s diluted EPS is closest to: A. $7.57. B. $7.69. C. $7.72.
| |
Ans: C.
Since both the preferred shares and bonds are dilutive, they should both be converted to calculate the diluted EPS. Diluted EPS is the lowest value. $7.72 has calculated in the following table.
|
Basic EPS |
Diluted EPS: Bond converted |
Diluted EPS: Preferred converted |
Diluted EPS: Both converted |
Net Income |
$1,000,000 |
$1,000,000 |
$1,000,000 |
$1,000,000 |
Preferred Dividends |
$(20,000) |
$(20,000) |
|
|
After-tax cost of interest
.08 x 80,000 x (1-.40) |
|
$3,840 |
|
$3,840 |
Numerator |
$980,000 |
$983,840 |
$1,000,000 |
$1,003,840 |
Average common shares outstanding |
100,000 |
100,000 |
100,000 |
100,000 |
Preferred converted |
|
|
10,000 |
10,000 |
Bond converted |
|
20,000 |
|
20,000 |
Denominator |
100,000 |
120,000 |
110,000 |
130,000 |
EPS |
$9.80 |
$8.20 |
$9.09 |
$7.72 |
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