Estimate the price of a Treasury Bond that matures in $18$ months and pays coupons semi$-$annually using the ZCB yields in the table below. The Treasury Bond$$s coupon rate is $2\mathrm{.}5\%$ per annum and face value is $$1,000.$ Show how you calculated your answer.

Maturity $($years$)$ ZCB Yield $(\%$p$.$a$.)$

$0\mathrm{.}52\mathrm{.}50$

$12\mathrm{.}70$

$1\mathrm{.}53\mathrm{.}00$

$23\mathrm{.}15$