In: Accounting
A company issues $680,000 of 5% bonds, due in 10 years, with interest payable semiannually on June 30 and December 31 each year.
Calculate the issue price of a bond and complete the first three rows of an amortization schedule when:
1. The market interest rate is 5% and the bonds issue at face amount.
2. The market interest rate is 4% and the bonds issue at a premium
3. The market interest rate is 6% and the bonds issue at a discount
| Case-1 | |||||||||
| Stated rate of interest: | 5% | ||||||||
| Market rate of interest: | 5% | ||||||||
| Par value of bonds | 680,000 | ||||||||
| Issue price | 680,000 | ||||||||
| Semi Annual Interest | 17000 | ||||||||
| (680,000*5%*6/12) | |||||||||
| Discount/ Premium on issue | Nil | ||||||||
| Amortization Table | |||||||||
| Date | Cash | Interest | Discount/Premium | Unamortized | Carrying Value | ||||
| Interest | Expense | Amortized | Discount/Premium | Of bonds | |||||
| Jan 1Yr1 | 0 | 680,000 | |||||||
| June30 Yr1 | 17000 | 17000 | 0 | 0 | 680,000 | ||||
| Dec31 Yr1 | 17000 | 17000 | 0 | 0 | 680,000 | ||||
| June 30 Yr2 | 17000 | 17000 | 0 | 0 | 680,000 | ||||
| Case-2 | |||||||||
| Stated rate of interest: | 5% | ||||||||
| Market rate of interest: | 4% | ||||||||
| Par value of bonds | 680,000 | ||||||||
| Semi Annual Interest | 17000 | ||||||||
| (680,000*5%*6/12) | |||||||||
| PV factor at 4% for maturity | 0.673 | ||||||||
| Annuity factor for interest | 16.351 | ||||||||
| Present value of maturity | 457640 | ||||||||
| Present value of Interest | 277,974 | ||||||||
| Issue price | 735,614 | ||||||||
| Premium on bonds payable | 55,614 | ||||||||
| Amortization Table | |||||||||
| Date | Cash | Interest | Premium | Unamortized | Carrying Value | ||||
| Interest | Expense | Amortized | Premium | Of bonds | |||||
| Jan 1Yr1 | 55614 | 735,614 | |||||||
| June30 Yr1 | 17000 | 14712 | 2288 | 53326 | 733,326 | ||||
| Dec31 Yr1 | 17000 | 14667 | 2333 | 50993 | 730,993 | ||||
| June 30 Yr2 | 17000 | 14620 | 2380 | 48613 | 728,613 | ||||
| Case-3 | |||||||||
| Stated rate of interest: | 5% | ||||||||
| Market rate of interest: | 6% | ||||||||
| Par value of bonds | 680,000 | ||||||||
| Semi Annual Interest | 17000 | ||||||||
| (680,000*5%*6/12) | |||||||||
| PV factor at 4% for maturity | 0.554 | ||||||||
| Annuity factor for interest | 14.877 | ||||||||
| Present value of maturity | 376720 | ||||||||
| Present value of Interest | 252,909 | ||||||||
| Issue price | 629,629 | ||||||||
| Discount on bonds payable | 50,371 | ||||||||
| Amortization Table | |||||||||
| Date | Cash | Interest | Discount | Unamortized | Carrying Value | ||||
| Interest | Expense | Amortized | Discount | Of bonds | |||||
| Jan 1Yr1 | 50371 | 629,629 | |||||||
| June 30 Yr1 | 17000 | 18889 | 1889 | 48482 | 631,518 | ||||
| Dec31 Yr1 | 17000 | 18946 | 1946 | 46536 | 633,464 | ||||
| June 30 Yr2 | 17000 | 19004 | 2004 | 44532 | 635,468 | ||||