On June 30, 2018, Singleton Computers issued 8% stated rate
bonds with a face amount of $100 million. The bonds mature on June
30, 2033 (15 years). The market rate of interest for similar bond
issues was 6% (3.0% semiannual rate). Interest is paid semiannually
(4.0%) on June 30 and December 31, beginning on December 31, 2018.
(FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of
$1) (Use appropriate factor(s) from the tables
provided.)
Required:
1. Determine the price of the bonds on June 30,
2018.
2. Calculate the interest expense Singleton
reports in 2018 for these bonds using the effective interest
method.
Bond characterstics | Amount | ||||||
1-a) | Principal | 100,000,000 | |||||
interest | 4,000,000 | ||||||
Market interest rate | 3% | ||||||
periods to maturity | 30 | ||||||
issue price | 119,600,760 | ||||||
Calculation of bond issue price | |||||||
Where | |||||||
i= | 3.00% | ||||||
t= | 30 | ||||||
principal | * | PV of $1 at 3% for 30 yrs = | |||||
100,000,000 | * | 0.41199 | = | 41199000 | |||
interest | * | PV of ordinary annuity at 3%= | |||||
4000000 | * | 19.60044 | = | 78401760 | |||
bond issue price | 119600760 | ||||||
1-b) | interest expense = 119600760*3%= | 3588023 |
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