Jay purchased a Treasury bond with a coupon rate of $2\mathrm{.}06\%$ 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 $4\mathrm{.}59\%$ p$.$a$.$ compounded half$-$yearly. Round your answer to four decimal places.

Question $5$Answer

a$.$

$84\mathrm{.}0660$

b$.$

$84\mathrm{.}0676$

c$.$

$85\mathrm{.}3273$

d$.$

$83\mathrm{.}4365$