P.a. | Per period | ||||
Stated Rate | 6% | 3.0% | |||
Market Rate | 5% | 2.5% | |||
Face value of bond | 42000 | ||||
Period | Cashflow | PV | Calculation | ||
1 | 1260 | $1,229 | 1260/(1.025)^1 | ||
2 | 1260 | $1,199 | 1260/(1.025)^2 | ||
3 | 1260 | $1,170 | 1260/(1.025)^3 | ||
4 | 1260 | $1,141 | 1260/(1.025)^4 | ||
5 | 1260 | $1,114 | 1260/(1.025)^5 | ||
6 | 1260 | $1,086 | 1260/(1.025)^6 | ||
7 | 1260 | $1,060 | 1260/(1.025)^7 | ||
8 | 1260 | $1,034 | 1260/(1.025)^8 | ||
9 | 1260 | $1,009 | 1260/(1.025)^9 | ||
10 | 43260 | $33,795 | 43260/(1.025)^10 | ||
$43,838 | |||||
hence, selling price of bonds = $ 43,838 | |||||
b | Amortization schedule | ||||
Date | Cash paid | Interest expense | Premium amortized | Closing value | |
01-Jan-20 | $43,838 | ||||
30-Jun-20 | 1260 | $1,096 | $164 | $43,674 | |
31-Dec-20 | 1260 | $1,092 | $168 | $43,506 | |
30-Jun-21 | 1260 | $1,088 | $172 | $43,334 | |
31-Dec-21 | 1260 | $1,083 | $177 | $43,157 | |
30-Jun-22 | 1260 | $1,079 | $181 | $42,976 | |
31-Dec-22 | 1260 | $1,074 | $186 | $42,790 | |
30-Jun-23 | 1260 | $1,070 | $190 | $42,600 | |
31-Dec-23 | 1260 | $1,065 | $195 | $42,405 | |
30-Jun-24 | 1260 | $1,060 | $200 | $42,205 | |
31-Dec-24 | 1260 | $1,055 | $205 | $42,000 | |
31-Dec-24 | $42,000 | 0 | $0 | $0 | |
$1,838 | |||||
c | Account titles and explanation | Debit | Credit | ||
01-Jan-20 | Cash | $43,838 | |||
Bonds payable | $42,000 | ||||
Premium on issue of bond | $1,838 | ||||
(Bonds issued at premium) | |||||
30-Jun-20 | Interest expense | $1,096 | |||
Premium on issue of bonds | $164 | ||||
Cash | $1,260 | ||||
(Interest expense booked) | |||||
31-Dec-20 | Interest expense | $1,092 | |||
Premium on issue of bonds | $168 | ||||
Cash | $1,260 | ||||
(Interest expense booked) | |||||
*if you have any doubt please feel free to ask in the comment section. Please give your valuable feedback.
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