Jay purchased a Treasury bond with a coupon rate of $4\mathrm{.}68\%$ and face value of $$100.$ The maturity date of the bond is $15$

March $2029.$

$($a$)$ Yuri plans to purchase Jay's Treasury bond on $12$ September $2021.$ What price will Yuri pay $($round to four decimal

places$)?$ Assume a yield of $4\mathrm{.}6\%$ p$.$a$.$ compounded half$-$yearly. Round your answer to four decimal places.