Maul Co. prepared a bond issue dated January 1, 20X2. The face value of the bond was $400,000 with an annual coupon rate of interest 10% and maturity date of 5 years. The bond interest is to be paid semiannually on June 30 and Dec 31. The bonds were issued when the prevailing annual market interest rate was 8%.
Problem 2 12 points
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Note: Please Refer to the following partial present value tables for this problem. |
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Table 1 |
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n=5 periods |
4% |
5% |
8% |
10% |
|
PV of $1 |
0.822 |
0.784 |
0.681 |
0.621 |
|
PV of annuity of $1 |
4.452 |
4.329 |
3.993 |
3.791 |
|
FV of $1 |
1.217 |
1.276 |
1.469 |
1.611 |
|
FV of annuity of $1 |
5.416 |
5.526 |
5.867 |
6.105 |
|
n=10 periods |
4% |
5% |
8% |
10% |
|
PV of $1 |
0.676 |
0.614 |
0.463 |
0.386 |
|
PV of annuity of $1 |
8.111 |
7.722 |
6.710 |
6.145 |
|
FV of $1 |
1.480 |
1.629 |
2.159 |
2.594 |
|
FV of annuity of $1 |
12.006 |
12.578 |
14.487 |
15.937 |
| Table values are based on: | ||||
| n= | 10 | |||
| i= | 5.0% | |||
| Cash Flow | Amount | Present Value | ||
| Interest | $400,000*5% =$20,000 | $20,000*PVAF(4%,10) =$20,000*8.111 =$162,220 | ||
| Principal | $2,000,000 | $400,000*PVIF(4%,10) =$4,00,000*0.676 =$270,400 | ||
| Price of Bonds | $432,620 | |||
| Premium on bonds =$432,620 - $400,000 =$32,620 | ||||
| Amortization table | ||||
| Date | Interest Payment | Interest expenses | Premium amorrtization | Bond carrying amount |
| 1 Jan 20X2 | 4,32,620 | |||
| June 30 20X2 | 20,000 | 17,305 | 2,695 | 4,29,925 |
| Dec 31 20X2 | 20,000 | 17,197 | 2,803 | 4,27,122 |
| June 30 20X3 | 20,000 | 17,085 | 2,915 | 4,24,207 |
| Dec 31 20X3 | 20,000 | 16,968 | 3,032 | 4,21,175 |
| June 30 20X4 | 20,000 | 16,847 | 3,153 | 4,18,022 |
| Dec 31 20X4 | 20,000 | 16,721 | 3,279 | 4,14,743 |
| June 30 20X5 | 20,000 | 16,590 | 3,410 | 4,11,333 |
| Dec 31 20X5 | 20,000 | 16,453 | 3,547 | 4,07,786 |
| June 30 20X6 | 20,000 | 16,311 | 3,689 | 4,04,097 |
| Dec 31 20X6 | 20,000 | 15,903 | 4,097 | 4,00,000 |
| Date | Accounts and explanation | Debit(in $) | Credit(in $) | |
| 1 Jan 20X2 | Cash | 4,32,620 | ||
| Bonds Payable | 4,00,000 | |||
| Premium on Bonds Payable | 32,620 | |||
| (To Bond issued at premium) | ||||
| June 30 20X2 | Interest Expenses | $17,305 | ||
| Premium on issue of Bond | $2,695 | |||
| Cash | $20,000 | |||
| (Premium on Bond amortized for 1st period) | ||||
| Dec 31 20X2 | Interest Expenses | $17,197 | ||
| Premium on issue of Bond | $2,803 | |||
| Cash | $20,000 | |||
| (Premium on Bond amortized for 2nd period) | ||||
| 1 Jan 20X3 | Bonds payable | 4,00,000 | ||
| Premium on Bonds | 27,122 | |||
| Cash | 3,92,000 | |||
| Gain on retirement of bonds | 35,122 | |||
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