Question

In: Accounting

Net income for the year $1,210,000 7% convertible bonds issued at par ($1,000 per bond); each...

Net income for the year $1,210,000

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

4,080,000

Common stock, $10 par value

6,130,000

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 74,200 shares of common stock at $20 per share.

(a) Compute basic earnings per share for 2021.

Basic earnings per share

$1.57


(b) Compute diluted earnings per share for 2021.

Diluted earnings per share

$

Solutions

Expert Solution

Computation of EPS
Basic EPS 1.57
(net income-preference dividend/weighted no. of shares)
(1210000-244800)/613000
Diluted EPS                          1.54
(Net income+Dilution effects/No. of shares+Dilutive shares)
(965200/627840)
Note: Preferred stock are Anti dilutive and Convertible bonds also, So these should be excluded from this computation of diluted EPS.

Workings:

Increase in Net income Increase in Shares Consider or not
Stock Options NIL 14840 Consider
Perefrence covertible stock                                                      244,800 122400 Not consider
(4080000*6%) (40800*3)
Convertible Bonds                                                      112,000 60,000 Not consider
(20,00,000*7%*80%) (2000*30)
Current Earning and Shares                                                      965,200 613000
Total                                                      965,200 627,840
Effects of Options on Diluted EPS
Amount Paid= Options Issued*EP Per Share                              1,484,000
(74200*20)
Value of Options in current shsres Amount Paid/CMP                                    59,360
(1484000/25)
Diluted Shares= Options issued- Value of options in Current shares
(74200-59360)                                    14,840 Shares

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