g On January 1, 2020, Marigold Company issued 10-year, $1,890,000 face value, 6% bonds, at par. Each $1,000 bond is convertible into 16 shares of Marigold common stock. Marigold’s net income in 2020 was $470,000, and its tax rate was 20%. The company had 94,000 shares of common stock outstanding throughout 2020. None of the bonds were converted in 2020. (a) Compute diluted earnings per share for 2020.

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