$8.$ A ten$-$year bond has a face value of $$100,$ and pays a $10\%$ coupon semi$-$annually. The effective

annual yield at the time of issue is $11\%.$

$($a$)$ Determine the price of the bond at its issue date. Give your answer to $2$ decimal places.

$($b$)$ Suppose that the holder of this bond wishes to sell it immediately after the $10$th coupon

payment has been paid. At that time, the effective annual yield has fallen to $7\%.$ Find the

price at which he can sell the bond. Give your answer to $2$ decimal places.