On January 1, 2021, Mania Enterprises issued 15% bonds dated January 1, 2021, with a face amount of $28 million. The bonds mature in 2033 (10 years). For bonds of similar risk and maturity, the market yield is 12%. Interest is paid semiannually on June 30 and December 31. (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: Determine the price of the bonds at January 1, 2021. (Enter your answer in whole dollars.)
Price of Bonds:
(note there will be slight difference in issue price calculation ,kindly use the factors as given | |||||||
inn your question to get exact answer) | |||||||
Bond characterstics | Amount | ||||||
1-a) | Principal | 28,000,000 | |||||
interest | 2,100,000 | ||||||
Market interest rate | 6% | ||||||
periods to maturity | 20 | ||||||
issue price | 32,817,232 | answer | |||||
Calculation of bond issue price | |||||||
Where | |||||||
i= | 6.00% | ||||||
t= | 20 | ||||||
principal | * | PV of $1 at 6% for 20 yrs = | |||||
28,000,000 | * | 0.3118 | = | 8730400 | |||
interest | * | PV of ordinary annuity at 6%= | |||||
2100000 | * | 11.46992 | = | 24086832 | |||
bond issue price | 32817232 | ||||||
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