In: Finance
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 7% and will mature on this day 32 years from now. The yield on the bond issue is currently 6.45%. At what price should this bond trade today, assuming a face value of $1000 and annual coupons
Price of the Bond today
The Price of the Bond today the Present Value of the Coupon Payments plus the Present Value of the face Value
Face Value of the bond = $1,000
Annual Coupon Amount = $70 [$1,000 x 7%]
Annual Yield to Maturity = 6.45%
Maturity Period = 3 Years
The Price of the Bond = Present Value of the Coupon Payments + Present Value of the face Value
= $70[PVIFA 6.45%, 32 Years] + $1,000[PVIF 6.45%, 32 Years]
= [$70 x 13.40600] + [$1,000 x 0.13531]
= $938.42 + $135.31
= $1,073.73
“Hence, the Price of the Bond today = $1,073.73”
NOTE
-The formula for calculating the Present Value Annuity Inflow Factor (PVIFA) is [{1 - (1 / (1 + r)n} / r], where “r” is the Yield to Maturity of the Bond and “n” is the number of maturity periods of the Bond.
--The formula for calculating the Present Value Inflow Factor (PVIF) is [1 / (1 + r)n], where “r” is the Yield to Maturity of the Bond and “n” is the number of maturity periods of the Bond.