Answer:
$3.78
Step-by-step explanation:
The First step is to calculate basic earning per share then making the adjustments to the basic earning per share to arrive to a diluted earning per share.
Basic Earning per Share = Earnings Attributable to Holders of Common Stock / Weighted Average Number of Common Stock Holders.
Earnings Attributable to Holders of Common Stock Calculation :
Net Income $470,000
Less Bond Interest ($1,890,000×6%×80%) ($90,720)
Earnings Attributable to Holders of Common Stock $379,280
Weighted Average Number of Common Stock Holders Calculation :
Outstanding Common Shares 94,000
Weighted Average Number of Common Stock Holders 94,000
Basic Earning per Share = $379,280 / 94,000 = $4.03
Diluted Earnings per Share = Adjusted Earnings Attributable to Holders of Common Stock / Adjusted Weighted Average Number of Common Stock Holders.
Adjusted Earnings Attributable to Holders of Common Stock Calculation :
Earnings Attributable to Holders of Common Stock $379,280
Add Back Bond Interest ($1,890,000×6%×80%) $90,720
Adjusted Earnings Attributable to Holders of Common Stock $470,000
Adjusted Weighted Average Number of Common Stock Holders.
Outstanding Common Shares 94,000
Add Convertible Bonds ($1,890,000/$1,000×16) 30,240
Adjusted Weighted Average Number of Common Stock Holders 124,240
Diluted Earnings per Share = $470,000 / 124,240 = $3.78