Six $$1000$ bonds with $8\mathrm{.}8\%$ coupons payable annually are purchased nine months after a coupon matures, to yield $4\mathrm{.}4\%$ compounded semi$-$annually. The bonds mature in nine

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 $

$($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 $

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

$($c$)$ The cash price is $S$

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