A $$6,500$ bond had a coupon rate of $4\mathrm{.}50\%$ with interest paid semi$-$annually. Rebecca

purchased this bond when there were $9$ years left to maturity and when the market

interest rate was $4\mathrm{.}75\%$ compounded semi$-$annually. She held the bond for $3$ years,

then sold it when the market interest rate was $4\mathrm{.}25\%$ compounded semi$-$annually.

a$.$ What was the purchase price of the bond?

Round to the nearest cent.

b$.$ What was the selling price of the bond?

c$.$ What was Rebecca's gain or loss on this investment?

amount was $