With celebrity bonds, celebrities raise money by issuing bonds to investors. The royalties from sales of the music are used to pay interest and principal on the bonds. In April of 2009, EMI announced that it intended to securitize its back catalogue with the help of the Bank of Scotland. The bond was issued with a coupon rate of 6.75% and will mature on this day 21
years from now. The yield on the bond issue is currently 6.3%.
At what price should this bond trade today, assuming a face value of $1,000 and annual coupons?
Price of the Bond
The Price of the Bond is the Present Value of the Coupon payments plus the Present Value of Par Value
Par Value = $1,000
Annual Coupon Amount = $67.50 [$1,000 x 6.75%]
Yield to Maturity (YTM) = 6.30%
Maturity Years = 21 Years
The Price of the Bond = Present Value of the Coupon payments + Present Value of Par Value
= $67.50[PVIFA 6.30%, 21 Years] + $1,000[PVIF 6.30%, 21 Years]
= [$67.50 x 11.47293] + [$1,000 x 0.27721]
= $774.42 + $277.21
“Therefore, the Bond is trading at $1,051.63”
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