P7-3 Bond Prices [LO2]
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Staind, Inc., has 7 percent coupon bonds on the market that have 10 years left to maturity. The bonds make annual payments. If the YTM on these bonds is 9 percent, what is the current bond price? |
rev: 09_18_2012
Multiple Choice
$915.23
$828.06
$1,144.47
$1,030.00
$871.65
Annual coupon=1000*7%=70
Hence current price=Annual coupon*Present value of annuity
factor(9%,10)+$1000*Present value of discounting
factor(9%,10)
=70*6.417657701+$1000*0.422410806
=$871.65(Approx).
NOTE:
1.Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate
=70[1-(1.09)^-10]/0.09
=70*6.417657701
2.Present value of discounting factor=1000/1.09^10
=1000*0.422410806
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