D' Souza, Inc., issues $900,000 of 11% bonds that pay interest semiannually and mature in seven years. Assume that the market interest (yield) rate is 12% per year compounded semiannually. Compute the bond issuance price.
(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 | 900,000 | |||||
interest | 49,500 | ||||||
Market interest rate | 6% | ||||||
periods to maturity | 14 | ||||||
issue price | 858,172 | answer | |||||
Calculation of bond issue price | |||||||
Where | |||||||
i= | 6.00% | ||||||
t= | 14 | ||||||
principal | * | PV of $1 at 6% for 14 yrs = | |||||
900,000 | * | 0.4423 | = | 398070 | |||
interest | * | PV of ordinary annuity at 7%= | |||||
49500 | * | 9.29498 | = | 460102 | |||
bond issue price | 858172 |
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