Final answer:
The appropriate number of shares to be used in the basic earnings per share computation for 2021 for Beta Company is 261,600, which accounts for issued shares, a mid-year stock dividend, and reacquired treasury stock.
Step-by-step explanation:
To calculate the weighted average number of common shares outstanding for the basic earnings per share (EPS) computation, one must adjust for changes in the number of shares over the reporting period. Beta Company had 260,000 shares outstanding at the beginning of 2021. A 7% stock dividend on June 30, 2021, would increase the number of shares by 18,200 (260,000 x 0.07), resulting in 278,200 shares. Since the stock dividend occurred halfway through the year, the additional shares are weighted for six months. On September 30, 2021, when 30,000 shares were reacquired, the company had 248,200 shares outstanding (278,200 - 30,000), and these are weighted for three months. The computation is as follows:
- 260,000 shares for 6 months.
- 278,200 shares for 3 months.
- 248,200 shares for 3 months.
Earnings per share calculation:
- (260,000 shares x 6/12) + (278,200 shares x 3/12) + (248,200 shares x 3/12)
- 130,000 + 69,550 + 62,050
- Total weighted shares = 261,600
Therefore, Beta Company should use a weighted average of 261,600 shares for its basic earnings per share computation for 2021.