A $$7,500$ bond that carries a $3\mathrm{.}50\%$ coupon rate payable semi$-$annually is purchased $8$ years before maturity when the yield rate was $4\mathrm{.}50\%$ 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?

$($click to select$)$

amount is