Sheffield Corp. had 205000 shares of common stock, 20300 shares of convertible preferred stock, and $1580000 of 4% convertible bonds outstanding during 2021. The preferred stock is convertible into 39800 shares of common stock. During 2021, Sheffield paid dividends of $1.00 per share on the common stock and $4 per share on the preferred stock. Each $1,000 bond is convertible into 30 shares of common stock. The net income for 2021 was $599000 and the income tax rate was 35%. Diluted earnings per share for 2021 is :

Diluted earnings per share for 2021 is: $2.19 per share.

Explanation:

Amount of increase in net income if bonds are converted = Total value of convertible bonds * Bond rate * (100% - Tax rate) = $1580000 * 4% * (100% - 35%) = $41,080

Total earnings available to Equity Shareholders = Net income + Amount of increase in net income if bonds are converted = $599000 + $41,080 = $640,080

Number of shares of common stock = 205,000

Number of common shares obtainable from preferred stock = 39,800

Number of common shares obtainable from convertible bonds = (Total value of convertible bonds / $1,000) * 30 = ($1580000 / $1,000) * 30 = 47,400

Total number of shares outstanding = Number of shares of common stock + Number of common shares obtainable from preferred stock + Number of common shares obtainable from convertible bonds = 205,000 + 39,800 + 47,400 = 292,200

Diluted earnings per share = Total earnings available to Equity Shareholders / Total number of shares outstanding = $640,080 / 292,200 = $2.19 per share

Therefore, we have:

Diluted earnings per share for 2021 is: $2.19 per share.

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