In: Accounting
Problem 13 Nichols Corporation began the year 2014 with 25,000 shares of common stock and 5,000 shares of convertible preferred stock outstanding. • On May 1, an additional 9,000 shares of common stock were issued. • On July 1, 6,000 shares of common stock were acquired for the treasury. • On September 1, the 6,000 treasury shares of common stock were reissued. The preferred stock has a $4 per share dividend rate, and each share may be converted into two shares of common stock. Nichols Corporation’s 2014 net income is $230,000.
a) Compute basic earnings per share for 2014.
b) Compute diluted earnings per share for 2014.
Solution a:
Computation of weighted average outstanding shares | |||
Period | Outstanding shares | Fraction | Weighted average outstanding shares |
1-Jan-14 to 30-Apr-17 | 25000 | 4/12 | 8333.33 |
1-May-14 to 30-Jun-17 | 34000 | 2/12 | 5666.67 |
1-Jul-14 to 31-Aug-14 | 28000 | 2/12 | 4666.67 |
1-Sep-14 to 31-Dec-14 | 34000 | 4/12 | 11333.33 |
Weighted average outstanding shares | 30000 |
Earning for common shareholders = Net income - Preferred dividend = $230,000 - (5000*$4) = $210,000
Basic earning per share = Earning for common shareholders / Weighted average outstanding common shares
= $210,000 / 30000 = $7 per share
Solution b:
Earning for common shareholder after conversion of preferred share in to common stock = $230,000
Weighted average outstanding shares after conversion of preferred stock into common stock = 30000 + 5000*2 = 40000 shares
Diluted EPS = earnings for common shareholders after converion / Weighted average outstanding shares after conversion of preferred stock
=$230,000 / 40000 = $5.75 per share