Use bootstrapping to obtain a continuously compounded zero rate curve given that the price of a 6-month T-bill is 97.5, the price of a 12-month T-bill is 100, and the price of a 20-month T-bond with a 4.5% coupon rate is 107(18/32). Use your zero-rate curve to price a 20 month T-bond with a 3% coupon rate. What are the duration and convexity of this bond?
The Treasury bonds pay semiannual coupons.