Answer:
456,208 stocks
Step-by-step explanation:
weighted average common shares outstanding:
- January 1, 400,000 common stocks = 400,000 x 12/12 (time) = 400,000 stocks
- April 1, 97,000 common stocks = 97,000 x 9/12 (time) = 72,750 stocks
- June 1, 37,500 treasury stocks purchased = -37,500 x 7/12 (time) = -21,875 stocks
- November 1, resold 32,000 treasury stocks = 32,000 x 2/12 (time) = 5,333.33 ≈ 5,333
total weighted average stocks outstanding = 400,000 + 72,750 - 21,875 + 5,333 = 456,208
the weighted average considers the amount of time the stocks have been outstanding during the year, that is why we multiply by (months outstanding / 12).