$($Plz answer A B AND C$)$ A $$5,500$ bond had a coupon rate of $4\mathrm{.}75\%$ with interest paid semi$-$annually. Cynthia

purchased this bond when there were $6$ years left to maturity and when the market

interest rate was $5\mathrm{.}00\%$ compounded semi$-$annually. She held the bond for $3$ years,

then sold it when the market interest rate was $4\mathrm{.}50\%$ compounded semi$-$annually.

a$.$ What was the purchase price of the bond? b$.$ what was the selling price? c$.$what was cynthias gain or loss on this investment?