In: Accounting
Universal Foods issued 10% bonds, dated January one, with a face amount of 150 million dollars on January 1st 2016. do Bonds mature on December 31st 2030. the market rate of interest for similar issues with 12%. Interest is paid semi-annually on June 30th and December 31st. Universal uses the straight-line method.
1. determine the price of the bond. January 1,
2016.
2. prepare the journal entry to record the issuance by Universal
Foods on January 1st 2016
3. prepare the journal entry to record interest on June 30th
2016
4. prepare the journal entry to record interest on December 31st
2023
1) Calculation of price of the bond is shown as follows:-
The price of the bond will be equal to sum of present value of all interest payments and face value of bond at the end of bond life.
Bond Life = 15 years (From 2016 to 2030)
Semi Annual Interest Payments = Face Value of Bond*Interest rate*6/12
= $150 million*10%*6/12 = $7.50 million
Market rate for discounting = 12%*6/12 = 6%
Number of periods = 15 years*2 semiannual periods = 30 periods
Present Value of Interest payments = Interest*PVAF(6%, 30)
= $7.50 million*13.76483 = $103.24 million
Present Value of Face Value at the end = $150 million*PVF(6%, 30)
= $150 million*0.17411 = $26.12 million
Bond Price = PV of Interest Payments+PV of Face Value of Bond
= $103.24 million +$26.12 million = $129.36 million
2) Journal Entry (Amounts in million $)
Date | Account Titles and Explanation | Debit | Credit |
Jan 1, 2016 | Cash | 129.36 | |
Discount on Bonds Payable (150-129.36) | 20.64 | ||
Bonds Payable | 150 | ||
(To record the issue of bonds) |
3) Journal Entry (Amounts in million $)
Date | Account Titles and Explanation | Debit | Credit |
Jun 30, 2016 | Interest expense (0.69+7.50) | 8.19 | |
Discount on Bonds Payable ($20.64/30 periods)) | 0.69 | ||
Cash (150 million*5%) | 7.50 | ||
(To record interest expense) |
4) Journal Entry (Amounts in million $)
Date | Account Titles and Explanation | Debit | Credit |
Dec 31, 2023 | Interest expense (0.69+7.50) | 8.19 | |
Discount on Bonds Payable ($20.64/30 periods)) | 0.69 | ||
Cash (150 million*5%) | 7.50 | ||
(To record interest expense) |