Herry is planning to purchase a Treasury bond with a coupon rate of $2\mathrm{.}67\%$ and face value of $$100.$ The maturity date of the bond is $15$ March $2033.$

$($c$)$ If Henry purchased this bond on $7$ March $2020,$ 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 $27\mathrm{.}8\%$ on coupon payment and capital gain as tax payment. Assume that all tax payments are paid immediately.

Question $3$Answer

a$.$

$68\mathrm{.}2650$

b$.$

$82\mathrm{.}2051$

c$.$

$94\mathrm{.}5236$

d$.$

$83\mathrm{.}3816$