In: Accounting
Nordic Company issued bonds with the following provisions: |
Maturity value: $60,000,000. |
Interest: 7.9 percent per annum payable semi-annually each June 30 and December 31. |
Terms: Bonds dated January 1, 2017, due five years from that date. |
The company’s fiscal year ends on December 31. The bonds were sold on January 1, 2017, at a yield of 8 percent. |
Required: | |||||||||
1. |
Compute the issue (sale) price of the bonds. (Round time value factor to 4 decimal places. Round the final answer to the nearest whole dollar.) |
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(a)-The issue (sale) price of the bond
The issue (sale) price of the bond is the Present Value of the Coupon Payments plus the Present Value of the face Value
Par Value of the bond = $60,000,000
Semi-annual coupon amount = $2,370,000 [$60,000,000 x 7.90% x ½]
Semi-annual Yield to Maturity of the Bond = 4.00% [8.00% x ½]
Maturity Period = 10 Years [5 Years x 2]
Therefore, the Issue Price of the Bond = Present Value of the Coupon Payments + Present Value of the face Value
= $2,370,000[PVIFA 4.00%, 10 Years] + $60,000,000[PVIF 4.00%, 10 Years]
= [$2,370,000 x 8.1109] + [$60,000,000 x 0.6756]
= $19,222,833 + $40,536,000
= $59,758,833
NOTE
-The formula for calculating the Present Value Annuity Inflow Factor (PVIFA) is [{1 - (1 / (1 + r)n} / r], where “r” is the Yield to Maturity of the Bond and “n” is the number of maturity periods of the Bond.
-The formula for calculating the Present Value Inflow Factor (PVIF) is [1 / (1 + r)n], where “r” is the Yield to Maturity of the Bond and “n” is the number of maturity periods of the Bond.
(b)-The journal entry to record the issuance of the bonds
Date |
Accounts Tittles and explanations |
Debit ($) |
Credit ($) |
Jan 01, 2017 |
Cash A/c |
59,758,833 |
|
Discount on Bond Payable A/c |
241,167 |
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To Bond Payable A/c |
60,000,000 |
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[The journal entry for the issuance of the bond if the bonds are issued at 96] |
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(c)-The journal entries to record the interest payment & amortization of discount by using the effective-interest method
Effective interest amortization table for the bonds first three semi-annual period
Semi-annual interest period |
Cash Interest Paid |
Bond Interest Expense |
Discount amortization |
Unamortized discount |
Carrying Value |
Jan 01, 2017 |
- |
- |
- |
2,41,167 |
5,97,58,833 |
June 30, 2017 |
23,70,000 |
23,90,353 |
20,353 |
2,20,814 |
5,97,79,186 |
Dec 31, 2017 |
23,70,000 |
23,91,167 |
21,167 |
1,99,646 |
5,98,00,354 |
June 31, 2018 |
23,70,000 |
23,92,014 |
22,014 |
1,77,632 |
5,98,22,368 |
Journal entry to record the interest payment on June 30, 2017
Accounts Tittles and explanations |
Debit ($) |
Credit ($) |
Interest Expenses A/c |
2,390,353 |
|
To Discount on Bond Payable A/c |
20,353 |
|
To Cash A/c |
2,370,000 |
|
Journal entry to record the interest payment on December 31, 2017
Accounts Tittles and explanations |
Debit ($) |
Credit ($) |
Interest Expenses A/c |
2,391,167 |
|
To Discount on Bond Payable A/c |
21,167 |
|
To Cash A/c |
2,370,000 |
|
Journal entry to record the interest payment on June 30, 2018
Accounts Tittles and explanations |
Debit ($) |
Credit ($) |
Interest Expenses A/c |
2,392,014 |
|
To Discount on Bond Payable A/c |
22,014 |
|
To Cash A/c |
2,370,000 |
|