In: Accounting
Company B issues a ten-year bond that has a face value (or par value) of $100,000 and a stated rate of 4%. The interest is paid annually, the date is January 1, 2018 and the current market rate is 6%.
What is the issue price of the bond (round to the nearest dollar)? Show your work (Using the preset tables)
Correct Answer:
Issue price of bond: $ 85,280
working:
| 
 Annual Rate  | 
 Applicable rate  | 
 Face Value  | 
 $ 100,000  | 
|||||
| 
 Market Rate  | 
 6.00%  | 
 6.00%  | 
 Term (in years)  | 
 10  | 
||||
| 
 Coupon Rate  | 
 4.00%  | 
 4.00%  | 
 Total no. of interest payments  | 
 10  | 
||||
| 
 Calculation of Issue price of Bond  | 
||||||||
| 
 Bond Face Value  | 
 Market Interest rate (applicable for period/term)  | 
|||||||
| 
 PV of  | 
 $ 100,000  | 
 at  | 
 6.00%  | 
 Interest rate for  | 
 10  | 
 term payments  | 
||
| 
 PV of $1  | 
 0.5584  | 
|||||||
| 
 PV of  | 
 $ 100,000  | 
 =  | 
 $ 100,000  | 
 x  | 
 0.55840  | 
 =  | 
 $ 55,840.00  | 
 A  | 
| 
 Interest payable per term  | 
 at  | 
 4.0%  | 
 on  | 
 $ 100,000  | 
||||
| 
 Interest payable per term  | 
 $ 4,000  | 
|||||||
| 
 PVAF of 1$  | 
 for  | 
 6.0%  | 
 Interest rate for  | 
 10  | 
 term payments  | 
|||
| 
 PVAF of 1$  | 
 $ 7.3601  | 
|||||||
| 
 PV of Interest payments  | 
 =  | 
 $ 4,000.00  | 
 x  | 
 7.36010  | 
 =  | 
 $ 29,440.40  | 
 B  | 
|
| 
 a  | 
 Bond Value (A+B)  | 
 $ 85,280  | 
 A+B  | 
|||||
End of Answer.
Thanks