For an upvote full working must be shown, and each step of the calculation must be correct. Then the final answer must be correct to the decimal place.

Henry is planning to purchase a Treasury bond with a coupon rate of $2\mathrm{.}38\%$ and face value of $$100.$ The maturity date of the bond is $15$ March $2033.$

$($b$)$ If Henry purchased this bond on $4$ March $2020,$ what is his purchase price $($rounded to four decimal places$)?$ Assume a yield rate of $3\mathrm{.}3\%$ p$.$a$.$ compounded half$-$yearly. Henry needs to pay $27\mathrm{.}8\%$ on

coupon payment as tax payment and tax are paid immediately.

a$.84\mathrm{.}1660$

b$.83\mathrm{.}3076$

c$.84\mathrm{.}6822$

d$.84\mathrm{.}1645$