Elliot is planning to purchase a Treasury bond with a coupon rate of $2\mathrm{.}19\%$ and face value of $$100.$ The maturity date of the bond is $15$ March $2033.$

$($Part A$)$ If Elliot purchased this bond on $4$ March $2020,$ what is his purchase price $($rounded to four decimal places$)?$ Assume a yield rate of $3\mathrm{.}49\%$ p$.$a$.$compounded half$-$yearly. Elliot needs to pay $27\mathrm{.}4\%$ on coupon payment and capital gain as tax payment. Assume that all tax payments are paid immediately. Question Answer.

A$)76\mathrm{.}0065$

b$)63\mathrm{.}5326$

c$)76\mathrm{.}9686$

d$)87\mathrm{.}4759$

$($Part B$)$ If Elliot purchased this bond on $4$ March $2020,$ what is his purchase price $($rounded to four decimal places$)?$ Assume a yield rate of $3\mathrm{.}49\%$ p$.$a$.$ compounded half$-$yearly. Elliot needs to pay $27\mathrm{.}4\%$ on coupon payment and capital gain as tax payment. Assume that all tax payments are delayed by half year.

Question $4$Answer

A$)63\mathrm{.}9438$

B$)87\mathrm{.}4767$

C$)77\mathrm{.}1868$

D$)76\mathrm{.}2220$