Ms$.$ Jones wants to make $8\%$ nominal interest compounded quarterly on a bond investment. She has an opportunity to purchase a $6\%,$$$10,000$

bond that will mature in $13$ years and pays quarterly interest. This means that she will receive quarterly interest payments on the face value of the

bond $($$$10,000)$ at $6\%$ nominal interest. After $13$ years she will receive the face value of the bond. How much should she be willing to pay for the

bond today?