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 Bond TTT has 10 years to maturity and has a coupon rate of 12%

Finance Nov 24, 2020

 Bond TTT has 10 years to maturity and has a coupon rate of 12%. Bond ZZZ is comparable in risk to BOND TTT, is trading at par, has 15 years to maturity has a coupon rate of 10%. If interest rates increase by 1.5%, what is the price impact on both stocks? Relate your observation to interest rate risk. Assume both are annual pay bonds.

Expert Solution

Bond ZZZ is trading at par, hence the yield to maturity=10% which is equal to coupon rate. Moreover the bond of ZZZ tardes at par=$1000

Bond TTT, yield to matuirty is also be 10% because of same risk.

Use PV function in EXCEL to find the Bond TT price

=PV(rate,nper,pmt,fv,type)

rate=10%;nper=15 years

pmt=coupon arte*face value=12%*1000=120

fv=1000

=PV(10%,15,120,1000,0)=1152.12

==> if interest rate increases by 1.5%, then yile dto maturity becomes 11.5%

Bond price of ZZZ:=PV(11.5%,15,100,1000,0)=895.05

The percentage change in Bond ZZZ:(895.05-1000)/1000=-10.50%

Bond price of TTT=PV(11.5%,15,120,1000,0)=1034.98

The percentage change in Bond TTT=(1034.98-1152.12)/1152.12=-10.17%

Bond TTT cahnges lower than Bond ZZZ because of higher coupon payments. Bonds with higher coupon paymnets will flucutate low when comapred to bond's with lower coupon payments when interest rate changes.

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