Suppose you purchase a $20$ year Treasury bond with a $7\%$ annual $$coupon$,$ initially trading at par. In $12$ years time, the bond's yield to maturity has risen to $9\%$

$($EAR$).($Assume $$100$ face value $$bond $).$

a: $$If you sell the bond $$now$,$ what internal rate of return will you have earned on your investment in the $$bond$?$