On 1 January 20X1, EFG Pte Ltd issues long-term bonds which are due on 31 December 20X5. Interest is paid semi-annually on June 30 and December 31 each year. The first interest payment is on 30 June 20X1. The face value of bonds is $400,000 with stated annual interest rate of 10%. At the time of issuance, the market interest rate is 12% per annum.
a] | Price of the bonds is the PV of the cash flows of the bond | ||
when discounted at 12% p.a [6% half yearly]. | |||
The expected cash flows are the maturity value of the bonds | |||
of $400,000 receivable at EOY 5 and the semi-annual interest | |||
of $20000 payable for 10 half years. | |||
Hnece, price = 400000/1.06^10+20000*(1.06^10-1)/(0.06*1.06^10) = | $ 3,70,560 | ||
b] | Cash | $ 3,70,560 | |
Discount on bonds payable | $ 29,440 | ||
Bonds payable | $ 4,00,000 |
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