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

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Part $1$

$($a$)$ The quoted price of the bonds is $$$

$$

enter your response here.

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

Part $2$

$($b$)$ The accrued interest is equal to $$$

$$

enter your response here.

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

Part $3$

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

$$

enter your response here.

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