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Staind, Inc., has 8 percent coupon bonds on the market that have 14 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
$1,030.00
$922.14
$1,086.44
$876.03
$968.25
Annual coupon=1000*8%=80
Hence current price=Annual coupon*Present value of annuity factor(9%,14)+$1000*Present value of discounting factor(9%,14)
=80*7.786150389+$1000*0.299246465
=$922.14(Approx).
NOTE:
1.Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate
=80[1-(1.09)^-14]/0.09
=80*7.786150389
2.Present value of discounting factor=1000/1.09^14
=1000*0.299246465
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