Question

The information below pertains to Barkley Company for 2021.

Net income for the year $1,200,000

7% convertible bonds issued at par ($1,000 per bond); each bond is convertible into 30 shares of common stock 2,000,000

6% convertible, cumulative preferred stock, $100 par value; each share is convertible into 3 shares of common stock 4,000,000

Common stock, $10 par value 6,000,000

Tax rate for 2021 20%

Average market price of common stock $25 per share

There were no changes during 2021 in the number of common shares, preferred shares, or convertible bonds outstanding. There is no treasury stock. The company also has common stock options (granted in a prior year) to purchase 75,000 shares of common stock at $20 per share.

(a) Compute basic earnings per share for 2021. (Round answer to 2 decimal places, e.g. $2.55.) Basic earnings per share $

(b) Compute diluted earnings per share for 2021. (Round answer to 2 decimal places, e.g. $2.55.) Diluted earnings per share $

Answer 1

Answer:

a)
The basic earnings per share for 2021 are calculated below:

Basic EPS = (Net Income-Preferred dividend)/Number of shares for common stock
=(1200000-(4000000*6%))/6000000/10
=(1200000-240000)/600000
=960000/600000
=$1.6 per share

Therefore the basic earnings per share for 2021 are $1.6 per share

b)
The diluted earnings per share for 2021 are calculated below:

Basic EPS = (Net Income - Preferred dividend)+Interest savings (net of tax) / (Average common shares + Potentially diluted common shares)
=(1200000-(4000000*6%)+(2000000*7%*(1-0.20))) / (6000000/10)+(2000000/1000 * 30)+(25-20/25 *75000)
=(1200000-240000+112000)/(600000+60000+15000)
=1072000/675000
=$1.59 per share

Therefore the diluted earnings per share for 2021 are $1.59 per share.