Been working on EPS today and was good until I saw this question:
A firm has basic earnings per share of $1.29. If the tax rate is 30%, which of the following securities would be dilutive?
A. Cumulative 8%, $50 par preferred stock
B. 10% convertible bonds, issued at par, with each $1,000 bond convertible into 20 shares of common stock
C. 7% convertible bonds, issued at par, with each $1,000 bond convertible into 40 shares of common stock
D. 6%, $100 par cumulative convertible preferred stock, issued at par, with each preferred share convertible into four shares of common stock
The answer is C with this explanation:
Dilutive securities reduce earnings per share. To determine dilution, a conversion basis must be stated. Each 7% $1,000 bond yields $49 ($70 – 30% tax) of earnings after tax. The conversion increases the number of shares by 40. The earning per share on the converted bonds is only $1.225 (49/40) thus diluting the basic earnings per share of $1.29.
I don't follow the logic. It says each bond yields $49 of earnings after tax. Isn't each bond incurring interest expense of $49 net-of-tax, not earnings?