John needs $1,000,000 to retire in five years. There is an
annual zero-coupon bond that will mature in 8 years, that has a YTM
of 11.75%.
If John buys the bond and the YTM moves to 9.75% when he sells the
bond in 5 years, how much money will John have for retirement
If John buys the bond and the YTM moves to 13.75% when he sells the bond in 5 years, how much money will John have for retirement?
Jhon plans to purchase a zero coupon bond. These bonds do not have any coupon payment , instead they are Issued at Discount and Redeemed at par.
So the FV is 1,000,000
Time is 5 yrs.
Rate YTM = 11.75%.
So he will pay
PV = FV/(1+r)^n
Or
1,000,000/(1.1175)^5 = $ 573,802.37 for the bond.
Now in Case 1,
YTM goes to 9.75 he will be receiving
FV = 573802.37(1+0.0975)^5 = $ 913,660.78
In case 2
Ytm is 13.75
So jhon will get
FV = 573802.37(1+0.1375)^5= 1092746.36
Thanks
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