Herry is planning to purchase a Treasury bond with a coupon rate of $2\mathrm{.}14\%$ and face value of $$100.$ The maturity date of the bond is $15$ March $2033.$

$($c$)$ If Henry purchased this bond on $6$ March $2020,$ what is his purchase price $($rounded to four decimal places$)?$ Assume a yield rate of $3\mathrm{.}23\%$ p$.$a$.$ compounded half$-$yearly. Henry needs to pay $27\mathrm{.}9\%$ on coupon payment and capital gain as tax payment. Assume that all tax payments are paid immediately.

Question $3$Answer

a$.$

$64\mathrm{.}5313$

b$.$

$78\mathrm{.}1191$

c$.$

$79\mathrm{.}0635$

d$.$

$89\mathrm{.}4750$