Final answer:
To calculate Berclair Incorporated's basic and diluted earnings per share for the year ended December 31, 2024, you need to consider the number of shares and the net income. The basic earnings per share is $4.89, while the diluted earnings per share is $4.64.
Step-by-step explanation:
To calculate Berclair Incorporated's basic and diluted earnings per share for the year ended December 31, 2024, we need to consider the number of shares and the net income. Let's break down the calculations:
Basic Earnings Per Share:
Step 1: Calculate the weighted average number of common shares outstanding:
Shares outstanding on December 31, 2023: 480 million
Shares repurchased on March 1, 2024: 136 million
Shares sold on October 1, 2024: 4 million
Weighted average shares outstanding = (480 million - 136 million + 4 million) / 2 = 174 million
Step 2: Calculate basic earnings per share:
Basic earnings per share = Net income / Weighted average shares outstanding = $850 million / 174 million = $4.89
Diluted Earnings Per Share:
Step 1: Calculate the diluted weighted average number of common shares outstanding:
Diluted weighted average shares outstanding = Weighted average shares outstanding + Shares from stock options exercise
- Shares from stock options exercise = Shares exercisable * (Market price - Exercise price) / Market price
- Shares exercisable = 30 million
- Market price = $70 per share
- Exercise price = $56 per share
Diluted weighted average shares outstanding = 174 million + (30 million * ($70 - $56) / $70) = 183 million
Step 2: Calculate diluted earnings per share:
Diluted earnings per share = Net income / Diluted weighted average shares outstanding = $850 million / 183 million = $4.64