A $$1,000$ Face Value Treasury bond with $18$ months left to maturity has annual coupons of $$32$ paid

semi$-$annually. The Term Structure of Interest shows that the $6$ month YTM is $3\mathrm{.}2\%,$ the $12$ month

YTM is $3\mathrm{.}35\%$ and the $18$ month YTM is $3\mathrm{.}65\%.$

What is the price of the bond? $[$Hint: The price of the bond should be the same as the total price of

the STRIPS that can be created from it$.]$