Herry is planning to purchase a Treasury bond with a coupon rate of $2\mathrm{.}23\%$ and face value of $$100.$ The maturity date of the bond is $15$ March $2033.($c$)$ If Henry purchased this bond on $2$ 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 $28\mathrm{.}9\%$ on coupon payment and capital gain as tax payment. Assume that all tax payments are paid immediately. a$.78\mathrm{.}6673$ b$.89\mathrm{.}7306$ c$.77\mathrm{.}6914$ d$.63\mathrm{.}8287$