A $$8,000$ bond that carries a $3\mathrm{.}00\%$ coupon rate payable semi$-$annually is purchased $4$

years before maturity when the yield rate was $5\mathrm{.}00\%$ compounded semi$-$annually.

a$.$ Calculate the purchase price of the bond.

$

Round to the nearest cent

b$.$ What is the amount of discount or premium on the bond?

amount is