Question: Question is above the solution. Can someone please explain how you work out the numbers in the solution. Can I please have a thorough explanation
Question is above the solution. Can someone please explain how you work out the numbers in the solution.
Can I please have a thorough explanation answer is below!
| epsextrabondconv | |||
| Bond facts | |||
| Face amount | 1,500,000 | ||
| Face rate | 12% | ||
| 1/1 and 7/1 interest payments | |||
| Proceeds from issuance | 1,466,000 | ||
| Discount amortized using straight line | |||
| Issue date | 7/1/04 | ||
| 10 year term | |||
| Each $1,000 bond convertible into 8 shares of $100 par common | |||
| On 8/1/2005 $150,000 bonds were converted into common. Accrued interest on the converted | |||
| bonds was paid at conversion | |||
| Additional facts needed are as follows: | |||
| Net income for 2005 | 6,000,000 | ||
| Tax rate | 40% | ||
| Common stock outstanding at 1/1/05 | 500,000 | ||
| There were no stock transactions other than the bond conversion | |||
| Calculate 2005 basic and diluted earnings per share | |||
| epsextrabondconv | |||||||||||||
| Bond facts | |||||||||||||
| Face amount | 1,500,000 | ||||||||||||
| Face rate | 12% | ||||||||||||
| 1/1 and 7/1 interest payments | |||||||||||||
| Proceeds from issuance | 1,466,000 | this reflects a $34,000 discount | |||||||||||
| Discount amortized using straight line | |||||||||||||
| Issue date | 7/1/04 | ||||||||||||
| 10 year term | |||||||||||||
| Each $1,000 bond convertible into 8 shares of $100 par common | |||||||||||||
| On 8/1/2005 $150,000 bonds were converted into common. Accrued interest on the converted | |||||||||||||
| bonds was paid at conversion | |||||||||||||
| Additional facts needed are as follows: | |||||||||||||
| Net income for 2005 | 6,000,000 | this reflects the effect of the actual conversion of $150,000 bonds on net income | |||||||||||
| Tax rate | 40% | ||||||||||||
| Common stock outstanding at 1/1/05 | 500,000 | ||||||||||||
| There were no stock transactions other than the bond conversion | |||||||||||||
| The basic calculation is as follows: | |||||||||||||
| 6,000,000 | = | 6,000,000 | = | 11.99 | |||||||||
| 500,000 + (150,000/1,000 * 8 shares per bond * 5/12) | 500,500 | ||||||||||||
| The diluted calculation is as follows: | |||||||||||||
| The numerator must take into account the interest that would not be incurred if the bonds were converted. Discount amortization is part of interest expense | |||||||||||||
| and thus must also be taken into consideration for the appropriate periods. Interest expense and thus discount would be removed for 7/12 of the year | |||||||||||||
| for the $150,000 of bonds that were converted and would be removed for the entire year for the bonds that were not actually converted but are assumed | |||||||||||||
| converted in the diluted calculation | |||||||||||||
| 6,000,000 + ((1,350,000 *.12*.60) + (150,000 *.12*.60*7/12) + (34,000/10*1350/1500*.6) + (34,000/10* 150/1500*7/12*.60)) | = | 6,105,455 | = | 11.92 | |||||||||
| 500,500 + (1,350,000/1000*8) + (150,000/1,000 * 8 * 7/12) | 512,000 | ||||||||||||
| The denominator assumes conversion of the 150,000 bonds as of 1/1 rather than 8/1 and conversion of the remaining 1,350,000 at 1/1 | |||||||||||||
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