On January 1 2016, Liberty Purchased 10% bonds, dated January 1 2016, with a face amount of $20 million. The bonds mature in 2025 (10 years). For bonds of similar risk and maturity, the market yield is 12%. Interest is paid semiannually on June 30 and December 31.
Required: 1. Determine the price of the bonds at January 1 2016.
2. Prepare the journal entry to record the purchase by Liberty on January 1,2016.
3. Prepare the journal entry to record interest on june 30,2016, using the straight line method.
4. Prepare the journal entry to record interest on December 31. 2016, using the straight line mehtod.
1) | principal | 20000000 | ||||||
interest | (20000000*5%)= | 1000000 | ||||||
price of bonds | ||||||||
where | ||||||||
i=6% | ||||||||
t = 20 years | ||||||||
principal | * | PV of $1 | = | |||||
20000000 | 0.3118 | = | 6236000 | |||||
interest | PV of ordinary annuity | |||||||
1000000 | * | 11.46992 | = | 11469920 | ||||
Bonds issue price | 17705920 | |||||||
2) | Date | Accounting titles & Explanations | Debit | Credit | ||||
1/1/2016 | Cash | 17705920 | ||||||
Discount on bonds payable | 2294080 | |||||||
Bonds payable | 20000000 | |||||||
3) | 6/30/2016 | interest expense | 1114704 | |||||
Discount on bonds payable | 114704 | |||||||
Cash | 1000000 | |||||||
4) | 12/31/2016 | interest expense | 1114704 | |||||
Discount on bonds payable | 114704 | |||||||
Cash | 1000000 | |||||||
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