Consider the par yield curve for the U.S. Treasury securities given in the table below (only the first 3 years of the curve are provided). Calculate the missing spot rates indicated by ???? using bootstrapping and add them to the table. Show all work for calculations.

Year 0.5 1.0 1.5 Yield to Maturity (%) 5.25 5.50 5.75 6.00 6.25 6.50 Spot Rate (%) 5.25 5.50 ???? ???? ???? ???? 2.0 2.5 3.0 Year 0.5 1.0 1.5 Yield to Maturity (%) 5.25 5.50 5.75 6.00 6.25 6.50 Spot Rate (%) 5.25 5.50 ???? ???? ???? ???? 2.0 2.5 3.0