Herry is planning to purchase a Treasury bond with a coupon rate of $2\mathrm{.}36\%$ and face value of $$100.$ The maturity date of the bond is $15$ September $2033.$

$($c$)$If Henry purchased this bond on $5$ March $2024,$what is his purchase price $($rounded$$to four decimal places$)?$ Assume a yield rate of $3\mathrm{.}31\%$ p$.$a$.$ compounded half$-$yearly. Henry needs to pay $27\mathrm{.}5\%$ on coupon payment and capital gain as tax payment. Assume that all tax payments are paid immediately.

Question $3$Answer

a$.$

$93\mathrm{.}3740$

b$.$

$67\mathrm{.}7193$

c$.$

$83\mathrm{.}6998$

d$.$

$84\mathrm{.}7698$