Question

On June 1, 2018, Marigold Company and Swifty Company merged to form Nash Inc. A total of 769,000 shares were issued to complete the merger. The new corporation reports on a calendar-year basis. On April 1, 2020, the company issued an additional 599,000 shares of stock for cash. All 1,368,000 shares were outstanding on December 31, 2020. Nash Inc. also issued $600,000 of 20-year, 8% convertible bonds at par on July 1, 2020. Each $1,000 bond converts to 36 shares of common at any interest date. None of the bonds have been converted to date. Nash Inc. is preparing its annual report for the fiscal year ending December 31, 2020. The annual report will show earnings per share figures based upon a reported after-tax net income of $1,688,000. (The tax rate is 20%.)

Determine the following for 2020:

a. Basic earnings per share.
b. Diluted earnings per share.
c. The earnings figures to be used for calculating:
d. Basic earnings per share.
e. Diluted earnings per share.

Answer 1

a. Basic earnings per share.

weighted average outstanding:

January 1 = 769,000 stocks

April 1 = 599,000 x 9/12 = 449,250 stocks

total weighted average outstanding stocks = 1,218,250 stocks

basic earnings per share = $1,688,000 / 1,218,250 = $1.3856 ≈ $1.39

b. Diluted earnings per share.

diluted shares = ($600,000 / $1,000) x 36 stocks x 1/2 = 10,800

diluted earnings per share = $1,707,200 / (1,218,250 + 10,800) = $1,707,200 / 1,229,050 = $1.389 ≈ $1.39

c. The earnings figures to be used for calculating:

Basic earnings per share

= net income = $1,688,000

Diluted earnings per share

= net income + interests saved - taxes on interests saved = $1,688,000 + $24,000 - $4,800 = $1,707,200