Semiannual interest = $ 462,000 x 10 % x 1/2 = $ 23,100
r = 12 % x 1/2 = 6 %
n = 7
PVA 6%, n=7 = [ { 1 - ( 1/ 1.06 ) 7 / 0.06 ] = 5.5824
PV 6%, n=7 = ( 1 / 1.06 ) 7 = 0.6651
Present value of the bonds = 23,100 x 5.5824 + 462,000 x 0.6651 = 128,953.44+ 307,276.20 = 436,229.64
Schedule of Bond
Discount Amortization Effective Interest Method Bonds sold to yield 12 % |
||||
Date | Cash Paid | Interest Expense | Discount Amortized | Carrying Amount of Bonds |
3/1/20 | $ 436,230 | |||
9/1/20 | $ 23,100 | $ 26,174 | 3,074 | 439,304 |
3/1/21 | 23,100 | 26,358 | 3,258 | 442,562 |
9/1/21 | 23,100 | 26,554 | 3,454 | 446,016 |
3/1/22 | 23,100 | 26,761 | 3,661 | 449,677 |
9/1/22 | 23,100 | 26,981 | 3,881 | 453,558 |
3/1/23 | 23,100 | 27,213 | 4,113 | 457,671 |
9/1/23 | 23,100 | 27,460 | 4,329 | 462,000 |
In the books of Monty Co.
Date | Account Titles | Debit | Credit |
$ | $ | ||
3/1/20 | Cash | 436,230 | |
Discount on Bonds Payable | 25,770 | ||
Bonds Payable | 462,000 | ||
9/1/20 | Interest Expense | 26,174 | |
Discount on Bonds Payable | 3,074 | ||
Cash | 23,100 | ||
12/31/20 | Interest Expense | 17,572 | |
Discount on Bonds Payable | 2,172 | ||
Interest Payable | 15,400 | ||
3/1/21 | Interest Expense | 8,786 | |
Interest Payable | 15,400 | ||
Discount on Bonds Payable | 1,086 | ||
Cash | 23,100 | ||
9/1/21 | Interest Expense | 26,554 | |
Discount on Bonds Payable | 3,454 | ||
Cash | 23,100 | ||
12/31/21 | Interest Expense | 17,841 | |
Discount on Bonds Payable | 2,441 | ||
Interest Payable | 15,400 |
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