On December 31, 2017, Berclair Inc. had 220 million shares of
common stock and 4 million shares of 9%, $100 par value cumulative
preferred stock issued and outstanding. On March 1, 2018, Berclair
purchased 24 million shares of its common stock as treasury stock.
Berclair issued a 5% common stock dividend on July 1, 2018. Four
million treasury shares were sold on October 1. Net income for the
year ended December 31, 2018, was $110 million. The income tax rate
is 40%.
Also outstanding at December 31 were incentive stock options
granted to key executives on September 13, 2013. The options are
exercisable as of September 13, 2017, for 30 million common shares
at an exercise price of $56 per share. During 2018, the market
price of the common shares averaged $70 per share.
In 2014, $62.5 million of 8% bonds, convertible into 6 million
common shares, were issued at face value.
Numerator | / | Denominator | = | Earning per Share | |
Basic EPS | $74 | / | 211 | = | $0.35 |
Diluted EPS | $74 | / | 217 | = | $0.344 |
Basic EPS :-
Denominator (Basic EPS): Weighted average # shares of common Denominator (Basic EPS): Weighted average # shares of common stock outstanding
1/1 – 12/31: 220 x (12/12) = 220 * 1.05 = 231
3/1 – 12/31 (24) x (10/12) = (20) * 1.05 = (21)
10/1 – 12/31 4 x (3/12) = 1
Weighted Average = 211
Exercisable Securities, Stock Options
Are they dilutive?
Yes because the exercise price of $56/share < the market price of $70/share.
Use the Treasury Stock Method
The Treasury Stock Method assumes that the proceeds received upon exercise of $1,680 (30 million x $56) are used to buy back stock at the average market price, i.e., $1,680 ÷ $70 = 24
The net increase in the number of shares = 6 million (30 million The net increase in the number of shares = 6 million (30 million issued upon exercise – 24 million repurchased)
Convertible Securities, Bonds
Are they dilutive? Is interest net of tax divided by the # shares issued on conversion ≤ EPS without assumed conversion? Interest not paid, net of tax = $3 [(8% x $62.5) x 60%]
# shares issued on conversion = 6 million # shares issued on conversion = 6 million
$3 ÷ 6 = $0.50
EPS without assumed conversion = ($110 - $36) ÷ (211 + 6) = $0.34
The convertible bonds are dilutive because $0.50 > $0.34
Diluted EPS = ($150 - $27 ) ÷ (211 + 6) = $0.34
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