Stanford issues bonds dated January 1, 2017, with a par value of $251,000. The bonds’ annual contract rate is 10%, and interest is paid semiannually on June 30 and December 31. The bonds mature in three years. The annual market rate at the date of issuance is 12%, and the bonds are sold for $238,667
. 1. What is the amount of the discount on these bonds at issuance?
2. How much total bond interest expense will be recognized over the life of these bonds?
3. Prepare an amortization table using the effective interest method to amortize the discount for these bonds.
Prepare an amortization table using the effective interest method to amortize the discount for these bonds. (Round all amounts to the nearest whole dollar.)
How much total bond interest expense will be recognized over the life of these bonds?
What is the amount of the discount on these bonds at issuance?
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Solution 1:
Discount on bonds at issuance = $251000 - $238667 = $12,333
Solution 2:
Total bond interest expense over the life of bond | |
Particulars | Amount |
Amount Repaid: | |
6 payments of ($251,000*10%*6/12=) $12550 each | $75,300 |
Par Value at Maturity | $2,51,000 |
Total Repaid | $3,26,300 |
Less: Amount borrowed | $2,38,667 |
Total bond interest expense | $87,633 |
Solution 3:
Bond Amortization Schedule | |||||
Period end | Cash Interest paid | Bond Interest Expense | Discount amortization | Unamortized Discount | Carrying value |
01-Jan-17 | $12,333 | $2,38,667 | |||
30-Jun-17 | $12,550 | $14,320 | $1,770 | 10,563 | $2,40,437 |
31-Dec-17 | $12,550 | $14,426 | $1,876 | 8,687 | $2,42,313 |
30-Jun-18 | $12,550 | $14,539 | $1,989 | 6,698 | $2,44,302 |
31-Dec-18 | $12,550 | $14,658 | $2,108 | 4,590 | $2,46,410 |
30-Jun-19 | $12,550 | $14,785 | $2,235 | 2,355 | $2,48,645 |
31-Dec-19 | $12,550 | $14,906 | $2,356 | 0 | $2,51,000 |
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