Question

Vent, Inc. reported net income of $770,000 for 20X1. Vent sold 15,000 shares of treasury stock acquired in a previous year on July 1 and 15,000 new shares on November 1. At year-end, 180,000 shares were outstanding. Vent had 20,000 shares of $100 par value 7% preferred stock outstanding all year. Vent paid dividends to the preferred shareholders. 1. The weighted average number of common shares used to compute earnings per share for 20X1 is:_____.2. Calculate the basic earnings per share for 2015.3. If each share of preferred stock is convertible into 2 shares of common stock, what is the diluted earnings per share for 2015?

Answer 1

1. Weighted average number of outstanding shares = 150,000*12/12 + 15,000*6/12 + 15,000*2/12

Weighted average number of outstanding shares = 150,000 + 7,500 + 2,500

Weighted average number of outstanding shares = 160,000 shares

2. Net income = $770,000

Preferred dividend = 20,000 shares*$100*7%

Preferred dividend = $140,000

Income attributable to common stockholders = Net income - Preferred dividend

Income attributable to common stockholders = $770,000 - $140,000

Income attributable to common stockholders = $630,000

Basic Earnings per share = Income attributable to common stockholders / Weighted average number of outstanding shares

Basic Earnings per share = $630,000/160,000

Basic Earnings per share = $3.94

3. Diluted EPS = Net income / [Weighted average number of common shares outstanding during the period + All dilutive potential common stock]

Diluted EPS = $770,000 / (160,000 + 20,000*2)

Diluted EPS = $770,000 / 200,000 shares

Diluted EPS = $3.85 per share