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No.169 (Diluted EPS) on Volume 2 Schweser Volume 2

Company reported net income of $500 million and the company had 100 million common shares outstanding. In addition, it had 5 million shares of convertible preferred and 10 million outstanding warrants during the year. Each preferred share pays a dividend of $4 per share and is convertible into three common shares. Each warrant is convertible into one common share at $25 per share. The company’s stock traded at an average $50 per share and the company did not declare any dividends for the year. What is diluted EPS.
a. $4
b. $4.2
c. $4.8
I thought it was b as”
500,000,000 / (100,000,000+15,000,000+5,000,000)= $4.2, but the answer is A. It subtracted $20 million from net income, which is preferred dividend. I thought I had to add back the preferred dividends as they’re converted into equity.
Help please.
Thanks

Ok…..I have to dig this one up from the grave.
I don’t think the answer is B. I need someone to verify this.
I see it like this…
Common shares: 100M
PStock: 5M x 3 = 15M
Warrants: 10M
500,000,000 / (100,000,000+15,000,000+10,000,000)= $4.00
Since the exercise price for the warrant is $25 per share (which is
JB

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Both preferred share and warrants are dilutive.
Warrants are by no means looking anti dilutive bcoz average share price is double the exercise price and they will not add anything to the numerator.
adding warrants will decrease the EPS from 4.8 (480,000,000/100,000,000) to 4.57 (480,000,000/105,000,000)
Preffered shares are also not anti dilutive bcoz: 20,000,000/15,000,000= 1.33 EPS which is less than 4.57 thus adding preffered shares also decrease the EPS.
adding Preffered shares the EPS will be as shown above that is 4.2
elcfa, correct me if am wrong

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Gents
Not so fast. You forgot to check the anti dilutive conditions.
GAAP says that if converting leads to higher EPS, you should not include the conversion in the calculation of diluted EPS as you did in this case.

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Looks like a typo to me too.
The correct answer is 4.1667 or 4.2.
Hm…

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Is it the net income or warrants? If you use 500 /100+15+10 (1 for 1 for each warrant)=4
Warrants should be like options, like you did it…….or so I thought

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