Herry is planning to purchase a Treasury bond with a coupon rate of $2\mathrm{.}32\%$ and face value of $$100.$ The maturity date of the bond is $15$ March $2033.$

$($c$)$ If Henry purchased this bond on $4$ March $2020,$ what is his purchase price $($rounded to four decimal places$)?$ Assume a yield rate of $3\mathrm{.}24\%$ p$.$a$.$ compounded half$-$yearly. Henry needs to pay $26\mathrm{.}2\%$ on coupon payment and capital gain as tax payment. Assume that all tax payments are paid immediately.

Question $3$Answer

a$.$

$91\mathrm{.}3422$

b$.$

$80\mathrm{.}4432$

c$.$

$67\mathrm{.}4338$

d$.$

$81\mathrm{.}4765$