Alexander purchased a $$2,500$ bond that was paying a coupon rate of $4\mathrm{.}60\%$ compounded semi$-$annually and had $5$ more years to mature. The yield at the time of purchase was $5\mathrm{.}30\%$ compounded semi$-$annually.

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

Round to the nearest cent

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

$($click to select$)$

amount was