Henry is planning to purchase a Treasury bond with a coupon rate of $2\mathrm{.}92\%$ and face value of $$100.$ The maturity date of the bond is $15$ March $2033.$

$($b$)$ If Henry purchased this bond on $5$ March $2020,$ what is his purchase price $($rounded to four decimal places$)?$ Assume a yield rate of $3\mathrm{.}15\%$ p$.$a$.$ compounded half$-$yearly. Henry needs to pay $29\mathrm{.}7\%$ on coupon payment as tax payment and tax are paid immediately.

a$.$

$89\mathrm{.}3191$

b$.$

$89\mathrm{.}3176$

c$.$

$89\mathrm{.}6842$

d$.$

$88\mathrm{.}2936$

Herry is planning to purchase a Treasury bond with a coupon rate of $2\mathrm{.}92\%$ and face value of $$100.$ The maturity date of the bond is $15$ March $2033.$

$($c$)$ If Henry purchased this bond on $5$ March $2020,$ what is his purchase price $($rounded to four decimal places$)?$ Assume a yield rate of $3\mathrm{.}15\%$ p$.$a$.$ compounded half$-$yearly. Henry needs to pay $29\mathrm{.}7\%$ on coupon payment and capital gain as tax payment. Assume that all tax payments are paid immediately.

a$.$

$85\mathrm{.}4096$

b$.$

$98\mathrm{.}9012$

c$.$

$69\mathrm{.}5527$

d$.$

$86\mathrm{.}6877$

Herry is planning to purchase a Treasury bond with a coupon rate of $2\mathrm{.}92\%$ and face value of $$100.$ The maturity date of the bond is $15$ March $2033.$

$($d$)$ If Henry purchased this bond on $5$ March $2020,$ what is his purchase price $($rounded to four decimal places$)?$ Assume a yield rate of $3\mathrm{.}15\%$ p$.$a$.$ compounded half$-$yearly. Henry needs to pay $29\mathrm{.}7\%$ on coupon payment and capital gain as tax payment. Assume that all tax payments are delayed by half year

a$.$

$85\mathrm{.}6419$

b$.$

$86\mathrm{.}9235$

c$.$

$98\mathrm{.}9020$

d$.$

$70\mathrm{.}0084$