Posted: 26 Apr 2012 at 18:47 | IP Logged
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Step 1: Step up the information supplied in the problem:
Common Stock Debt
Earnings * .7% (Earnings -9,000) *.7%
1,500 Shares 1,000 Shares
Step 2: Balance the fractions so the EPS are the same
1. The common stock denominator is 67% (1,000/1,500) larger than debt (500 more shares)
2. Therefore the 9,000 deduction in the numerator is divided by the inverse to balance the fractions.
Inverse = 33% (9,000/.3333) = 27,000
3. If one denominator is 67% percent larger, then the numerator has to be 67% larger as well.
If no additional information were supplied, just take the denominator in the common stock and divide it by the % difference and the denominator in the debt divided by the % difference and it will balance.
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