$1.$Amber purchased a $$4,000$ bond that was paying a coupon rate of $5\mathrm{.}70\%$ compounded semi$-$annually and had $4$ more years to mature. The yield at the time of purchase was $4\mathrm{.}20\%$ compounded semi$-$annually.

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

Round to the nearest cent

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

amount was

Round to the nearest cent