Please answer A$,$B$,$ and C and show your work:$)$ I am stuck on the calculations. Suppose you purchase a $30-$year Treasury bond with a $8\%$ annual coupon, initially trading at par. In $8$ years' time, the bond's yield to maturity has risen to $10\%$

$($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?

c$.$ Is comparing the IRRs in $($a$)$ versus $($b$)$ a useful way to evaluate the decision to sell the bond? Explain. $**$an example of how C should be answered is $"$We$$ can't simply compare$$ IRR's. By not selling the bond for its current price of $$$$86\mathrm{.}05,$ we will earn the current market return of $12\%$ on that amount going forward."