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Can I please get a thorough explanation of how to get each calculation. Thank you! Question below and answer is below can you please explain
Can I please get a thorough explanation of how to get each calculation. Thank you! Question below and answer is below can you please explain to me how you get the numbers?
Net income | 500,000 | |||
Common stock outstanding during the period, | ||||
excluding the impact of the conv preferred conversion | ||||
noted below | 400,000 | |||
Tax rate | 40% | |||
Other information | ||||
Stock options outstanding during the entire year | ||||
each convertible into one share of common stock | 100,000 | |||
Exercise price | $50 | |||
Average market price during the year | $100 | |||
Market price at year end | $80 | |||
Convertible debt issued 4/1 | 1,000,000 | |||
Interest rate | 8% | |||
Each $1,000 bond convertible into | 55 | shares of common stock | ||
The bonds were issued at | 88 | |||
Bond term | 10 | years | ||
Cumulative convertible preferred stock issued in prior year | ||||
Shares | 10,000 | |||
Par value per share | 100 | |||
Dividend rate | 3% | |||
Each share convertible into | 8 | shares of common stock | ||
On 9/1 all of the preferred shares were converted into common stock |
Answer:
Calculate diluted earnings per share | ||||||||
Basic earnings per share | 500,000 | - | 20,000 | = | 480,000 | = | $1.13 | |
400,000 | + | 26,667 | 426,667 | |||||
Effect of potentially dilutive securities | ||||||||
Options | 0 | = | 0 | = | $- | |||
100,000 - ((100,000 * 50)/$100) | 50000 | |||||||
Convertible bonds | 36000 | + | 5,400 | = | 41,400 | = | $1.00 | |
41,250 | 41,250 | |||||||
Convertible preferred | 20,000 | = | $0.38 | |||||
53,333 | ||||||||
Based on the above, the options would be added first, then the preferred, then the bonds as follows: | ||||||||
Basic plus options | 480,000 | 100,000 - ((100,000 * 50)/$100) | = | 480,000 | = | $1.01 | ||
426,667 | + | 50,000 | 476,667 | |||||
Basic plus options plus convertible preferred | 480,000 | + | 20,000 | = | 500,000 | = | $0.94 | |
476,667 | + | 53,333 | 530,000 | |||||
Based on the above, the convertible bonds would be anti-dilutive as their per share effect of $1.00 is greater | ||||||||
than the current EPS without the bonds of $.98. This can also be proved as follows | ||||||||
Basic plus options plus preferred plus bonds | 500,000 | + | 41,400 | = | 541,400 | = | $0.95 | |
530,000 | + | 41,250 | 571,250 | |||||
EPS rises and therefore the bonds are antidilutive and should not be included |
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