In: Finance
A bond with a coupon rate of 12.5% per year (payable semi annually) has a life of 7.5 years and a yield to maturity of 14%. What is the bond's current yield? Assume the bond is fairly priced. | ||||||||||||||||
Assume the bond has a par value of $1000 | ||||||||||||||||
Semi-annual coupon -(12.5%/2)(1000) = $62.50 | ||||||||||||||||
Semi-annual discount rate is yield to maturity/2 or 14%/2 = 7% | ||||||||||||||||
So, the fair bond price is: | ||||||||||||||||
Coupon | $62.50 | |||||||||||||||
rate | 7% | |||||||||||||||
n | 15 | |||||||||||||||
Fv | 1000 | |||||||||||||||
$931.69 | PV | |||||||||||||||
The annual coupon on this bond is 12.5% (1000) = $125 | ||||||||||||||||
Current yield $125/$931.69 = 13.416% | ||||||||||||||||
Find the current yield of the bond in the problem above assuming the yield to maturity is 9% | ||||||||||||||||
PLEASE SHOW WORK IN EXCEL |
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