Five $$1000$ bonds with $2\mathrm{.}2\%$ coupons payable annually are purchased nine months affer a coupon matures, to yield $1\mathrm{.}1\%$ compounded semi$-$annually. The bonds mature in seven years.

$($a$)$ What is the market price or quoted price of the bonds?

$($b$)$ What is the accrued interest?

$($c$)$ What is the cash price?

$($a$)$ The quoted price of the bonds is $$1157\mathrm{.}49$

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.$)$

$($b$)$ The accrued interest is equal to $$16\mathrm{.}50.$

$($Round to the nearest cent as needed.$)$

$($c$)$ The cash price is $$1173\mathrm{.}99$

$($Round to the nearest cent as needed$)$