Herry is planning to purchase a Treasury bond with a coupon rate of $2\mathrm{.}71\%$ and face value of $$100.$ The maturity date of the bond is $15$ March $2033.$

$($d$)$ If Henry purchased this bond on $3$ March $2020,$ what is his purchase price $($rounded to four decimal places$)?$ Assume a yield rate of $3\mathrm{.}36\%$ p$.$a$.$ compounded half$-$yearly. Henry needs to pay $29\mathrm{.}9\%$ on coupon payment and capital gain as tax payment. Assume that all tax payments are delayed by half year.

Question $4$ Answer

a$.$

$81\mathrm{.}1843$

b$.$

$82\mathrm{.}3646$

c$.$

$94\mathrm{.}4072$

d$.$

$66\mathrm{.}6763$