Today is April $20,2024.$ You plan to buy a Treasury bond that matures on $6/30/2030.$ The bond pays coupons semiannually on January $1$ and July $1$ of each year. The Treasury bond has an annual coupon rate of $4\mathrm{.}4$ percent and pays coupons twice a year. If you buy the bond today, there are $72$ days to the next coupon payment $($out of the $184$ days in the current semi$-$annual period$).$ How much must you pay for the bond if you know the clean price of this bond is $$1018\mathrm{.}14?$

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