Chris has been offered a seven-year bond (face value $1,000) issued by Bayley Ltd at a price of $943.22. The bond has a coupon r
ate of 9 percent and pays the coupon semiannually. Similar bonds in the market will yield 10 percent today. Should he buy the bonds at the offered price? (Round to the nearest dollar.)
1 answer:
Answer:
As the actual price of such bonds should be $950.51 and the bonds are offered at a lower price, the bonds should be bought at the offered price.
Explanation:
To determine whether the bonds should be bought at the given price or not, we first need to calculate the price of the bond. The formula for the price of the bond is attached.
The interest payed by the bonds can be treated as an annuity.
The semiannual rate will be = 9% / 2 = 4.5%
The number of semi annual payments will be = 7 * 2 = 14
The YTM expressed semi annually will be (r) = 10% / 2 = 5%
Semi annual coupon payment or C = 1000 * 0.045 = 45
Bond Price = 45 * [(1 - (1+0.05)^-14) / 0.05] + 1000 / (1+0.05)^14
Bond Price = 950.5068 rounded off to $950.51
As the actual price of such bonds should be $950.51 and they are offered at a lower price, the bonds should be bought at the offered price.
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