A company issued 10,000, $1,000 face value, 10%, 10-year convertible bonds on January 1, 20x1 at 102. The firm's tax rate is 30%. Assuming straight-line amortization for bond premiums and discounts, the addition to the numerator for purposes of computing diluted earnings per share for the year ended December 31, 20x1 is
The amount to be added to the numerator for purposes of computing diluted earnings per share for the year ended December 31, 20x1
The amount to be added to the numerator is the after-tax interest expenses for the Bond for the year
The amount to be added to the numerator = After-tax interest expense for the Year
= [Number of Bond x Face Value per share x Annual interest rate] x (1 – Tax rate]
= [10,000 Bonds x $1,000 x 10.00%] x (1 – 0.30)
= $1,000,000 x 0.70
= $700,000
Hence, the amount to be added to the numerator will be $700,000
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