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From a bond - market database, we have obtained the following information of Treasury securities: Maturity ( period ) Maturity ( year ) Coupon rate

From a bond-market database, we have obtained the following information of Treasury securities:
Maturity (period)
Maturity (year)
Coupon rate (%)
1
0.5
5%
2
1
6%
3
1.5
7%
4
2
8%
Let's assume the Treasury securities pay semi-annual coupon payments, and they are priced at par. We want to calculate the price of a 2-year bond which pays 8% coupon (semi-annual). The face value of the bond is $100.
Calculate the 0.5-year spot zero rate? Use the Treasury security which matures in 6 months. Then Calculate 1,1.5, and 2-year spot zero rates by bootstrapping method.
Spot-rates for 0.5,1,1.5, and 2-year are respectively:
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