Answer:
$3.28
Step-by-step explanation:
Weighted average number of diluted common stocks = Number of common stock + Convertible preferred stock + [(convertible stock outstanding/Number of stock convertible)*Number of common stock]
Weighted average number of diluted common stocks = 200,000 + 20,000 + (1,000,000/$1,000)*45
Weighted average number of diluted common stocks = 200,000 + 20,000 + 45,000
Weighted average number of diluted common stocks = 265,000
Diluted earnings per share = Net income + Interest on convertible bonds / Weighted average number of diluted common stocks
Diluted earnings per share = $800,000 + ($1,000,000*10%*(1-30%) / 265,000
Diluted earnings per share = $800,000 + $70,000 / 265,000
Diluted earnings per share = $870,000 / 265,000
Diluted earnings per share = $3.283018867924528
Diluted earnings per share = $3.28