Jay purchased a Treasury bond with a coupon rate of $2\mathrm{.}24\%$ 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 $11$ September $2021.$ What price will Yuri pay $($round to four decimal places$)?$ Assume a yield of $2\mathrm{.}24\%$ p$.$a$.$ compounded half$-$yearly. Round your answer to four decimal places.

Question $5$Answer

a$.$

$100\mathrm{.}2245$

b$.$

$99\mathrm{.}9758$

c$.$

$101\mathrm{.}3255$

d$.$

$99\mathrm{.}9745$