Question

On January 2, 2021, L Co. issued at face value $22,500 of 2% bonds convertible in total into 1,500 shares of L's common stock. No bonds were converted during 2021. Throughout 2021, L had 1,500 shares of common stock outstanding. L's 2021 net income was $4,500. L's income tax rate is 20%. No potential common shares other than the convertible bonds were outstanding during 2021. L's diluted earnings per share for 2021 would be: Multiple Choice $1.50. $1.62. $1.65. $3.00.

Answer 1

L's diluted earnings per share for 2021 would be $1.62.

Step-by-step explanation:

Amount of increase in net income if bonds are converted = Total value of convertible bonds * Bond rate * (100% - Tax rate) = $22,500 * 2% * (100% - 20%) = $360

Total earnings available to Equity Shareholders = Net income + Amount of increase in net income if bonds are converted = $4,500 + $360 = $4,860

Number of common shares obtainable from convertible bonds = 1,500

Total number of shares outstanding = Number of shares of common stock outstanding during 2021 + Number of common shares obtainable from convertible bonds = 1,500 + 1,500 = 3,000

Diluted earnings per share = Total earnings available to Equity Shareholders / Total number of shares outstanding = $4,860 / 3,000 = $1.62