Kristen purchased a $$3,000$ bond that was paying a coupon rate of $5\mathrm{.}80\%$ compounded

semi$-$annually and had $4$ more years to mature. The yield at the time of purchase was

$4\mathrm{.}70\%$ compounded semi$-$annually.

a$.$ How much did Kristen pay for the bond?

Round to the nearest cent

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