A $$6,000$ bond that carries a $4\mathrm{.}00\%$ coupon rate payable semi$-$annually is purchased $7$ years before maturity when the yield rate was $4\mathrm{.}50\%$ compounded semi$-$annually.

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

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Round to the nearest cent

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

$($click to select$)$

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