| principal | 850,000 | |||||||
| interest paid on bonds 850,000*4.5%= | 38250 | |||||||
| For Principal use PV of $1 table at 5% for 8 years | ||||||||
| for interest use PV of ordinary annuity table at 6% for 8 years | ||||||||
| 1) | Calculation of bonds issue price | |||||||
| table values are based on | ||||||||
| n= | 8 | |||||||
| i= | 5.00% | |||||||
| Cash flow | Amount | PV | ||||||
| principal | 850,000 | 575314 | (850,000*.67684 | |||||
| interest expense | 38250 | 247218 | (38250*6.46321) | |||||
| price of bonds | 822532 | |||||||
| 2) | Date | Accoounting titles & Explanations | Debit | Credit | ||||
| 1/1/2021 | Cash | 822532 | ||||||
| Discount on bonds payable | 27,468 | |||||||
| Bonds payable | 850,000 | |||||||
| 3) | interest | cash | bond | discount | carring | |||
| period | interest | interest | amortizatioon | value | ||||
| end | expense | |||||||
| 5.00% | ||||||||
| 1/1/2021 | 822532 | |||||||
| 06/30/21 | 38250 | 41127 | 2877 | 825408 | ||||
| 12/31/21 | 38250 | 41270 | 3020 | 828429 | ||||
| 06/30/22 | 38250 | 41421 | 3171 | 831600 | ||||
| 12/31/22 | 38250 | 41580 | 3330 | 834930 | ||||
| 06/30/23 | 38250 | 41747 | 3497 | 838427 | ||||
| 12/31/23 | 38250 | 41921 | 3671 | 842098 | ||||
| 06/30/24 | 38250 | 42105 | 3855 | 845953 | ||||
| 12/31/24 | 38250 | 42297 | 4047 | 850000 | ||||
| total | 306000 | 333468 | 27468 | |||||
| 4) | Date | Accoounting titles & Explanations | Debit | Credit | ||||
| 30/6/2021 | interest expense | 41127 | ||||||
| Discount on bonds | 2877 | |||||||
| cash | 38250 | |||||||
| Date | Accoounting titles & Explanations | Debit | Credit | |||||
| 12/31/21 | interest expense | 42297 | ||||||
| Discount on bonds | 4047 | |||||||
| cash | 38250 | |||||||
| 31-Dec | bonds payable | 850,000 | ||||||
| cash | 850,000 | |||||||
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