Question

Given the following zero-coupon yield curve, what would a rational investor pay for an 8% coupon, $1,000 par security paying
Spot rate Rate 9% 8% OF2 6.50% oF3 6% OF4 4% OFS
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Answer #1

1.
Price of the bond=8%*1000/1.09+8%*1000/1.08^2+8%*1000/1.065^3+8%*1000/1.06^4+8%*1000/1.04^5+1000/1.04^5=1159.26

2.
Using financial calculator
N=5
PMT=8%*1000=80
FV=1000
PV=-1159.26
CPT I/Y=4.38%

Hence, Yield to maturity YTM is 4.38%

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