Question

On December 31, 2017, Berclair Inc. had 520 million shares of common stock and 3 million...

On December 31, 2017, Berclair Inc. had 520 million shares of common stock and 3 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 $850 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.

Compute Berclair’s basic and diluted earnings per share for the year ended December 31, 2018.

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Answer #1

Answer -

Step - (1) - Information Given -

On December 31, 2017, Berclair Inc. had -

  • 520000000 shares of Common stock
  • 3000000 shares of 9%, $100 par value cumulative preferred stock issued and outstanding.

On March 1, 2018, Berclair purchased 24000000 shares of its common stock as treasury stock.

Berclair issued a 5% common stock dividend on July 1, 2018

4000000 treasury shares were sold on October 1

Net income for the year ended December 31, 2018, was $850000000. 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 30000000 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, $62500000 of 8% bonds, convertible into 6000000 common shares, were issued at face value.

.

Step - (2) - Calculation of Weighted average of shares

= (Number of shares as treasury stock * Period)

= 24000000 shares * 10/12

= 20000000 shares.

.

Step - (3) - Calculation of Stock dividend shares -

= (Number of shares held - Weighted average of treasury stock)* Stock dividend %

= (520000000 shares - 20000000 shares) * 5%

= 25000000 shares.

.

Step - (4) - Calculation of Weighted average of shares -

= Number of treasury stock * Time period

= 4000000 shares * 3/12

= 1000000 shares.

.

Step - (5) - Calculation of Weighted average number of Common shares outstanding -

Particulars Calculations / Remarks Number of shares
A. Weighted average number of shares held on December 31, 2017 Given in question 520000000
B. Weighted average number of treasury stock bought As per step - (2) (20000000)
C. Weighted average number of stock dividend shares distributed As per step - (3) 25000000
D. Weighted average number of treasury stock sold As per step - (4) 1000000
Weighted average number of Common shares outstanding (A - B + C + D) 526000000

.

Step - (6) - Calculation of Preferred dividends -

= (Number of shares * par value per share) * Dividend rate

= (3000000 shares * $100 per share) * 9%

= $27000000

.

Step - (7) - Calculation of Basic Earnings per share for the year ended December 31, 2018 -

= (Net income - Preferred dividends) / Weighted average no. of common shares outstanding

= ( $850000000 - $27000000 [As per step-(6)] ) / 526000000 Shares [As per step-(5)]

= $1.5646 per share.

.

Step - (8) - Calculation of Exercisable options value -

= Number of shares * Exercise price

= 30000000 shares * 56 per share

= $1680000000.

.

Step - (9) - Calculation of Number of shares assumed re-acquired -

= Exercisable options / Average market price per share

= $1680000000 / $70

= 24000000 shares

.

Step - (10) - Calculation of Adjusted Weighted average number of Common shares outstanding -

Particulars Calculations / Remarks Number of shares
A. Weighted average number of shares held on December 31, 2017 Given in question 520000000
B. Weighted average number of treasury stock bought As per step - (2) (20000000)
C. Weighted average number of stock dividend shares distributed As per step - (3) 25000000
D. Weighted average number of treasury stock sold As per step - (4) 1000000
E. Number of exercisable options granted as shares Given in question 30000000
F. Number of shares assumed reacquired with the fund raised with stock options As per step - (9) (24000000)
Adjusted Weighted average number of Common shares outstanding (A - B + C + D + E - F) 532000000

.

Step - (11) - Calculation of Diluted Earnings per share for the year ended December 31, 2018 -

= (Net income - Preferred dividends) / Adjusted Weighted average number of Common shares outstanding

= ( $850000000 - $27000000 [As per step-(6)] ) / 532000000 Shares [As per step-(10)]

= $1.5469 per share.

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