Question

In: Finance

With celebrity​ bonds, celebrities raise money by issuing bonds to investors. The royalties from sales of...

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

Solutions

Expert Solution

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.   


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