Suppose you purchase a $30-$year Treasury bond with a $5\%$ annual$$

coupon, initially trading at par. In $10$years$\text{'}$ time, the$$ bond's

yield to maturity has risen to $8\%($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$$ bond? b$.$ If instead you hold the bond to$$ maturity, what internal rate

of return will you earn on your initial investment in the$$ bond?