Suppose an investor bought a $10-$year, $10\%$ annual coupon bond at par $($face value of $$1,000$ and paying coupons annually$)$ and then sold it $3\mathrm{.}5$ years later at a yield of $8\%.$

a$.$ What is the full price?

b$.$ What is the accrued interest the investor would receive when he sold the bond? $($Use a $30/360-$day count convention$)$

c$.$ What is the clean price?