In: Accounting
Homer Simpson bought a bond with 20 years to maturity from Doh! a year ago for $1100. This bond has a $1000 par value with a 7.5% coupon rate and makes annual coupon payments. Today, Homer needs money to buy pork rinds and wants to sell the bond, and teh bond's yield to maturity is 6%. What return would Homer earn from sellling the bond today? Solve with using terms in TVM solver (N, I, PV, PMT, FV)
a) 6.1%
b)12.9%
c) 6%
I know the answer is 12.9 but I don't know how to get there, please exaplin using the TVM values.
He can sell the bond today at the current market price of the bond. The price of a bond can be determined by computing present value of future cash flows. The bond has 19years remaining to maturity.
Price of bond = Coupon interest * PVIFA(6%,19) + Redemption Value*PVIF(6%,19)
=( $1,000*7.5%*11.1581) + ($ 1,000*0.3305)
= $ 836.86 + $ 330.50
= $ 1,167.36
Return on the bond = (Current price-Cost of bond)/Cost of bond
= (1167.36-1100)/1100
= 67.36/1100 = 6.10%
The correct answer is option A