Suppose Gomas Enterprises has issued a bond that pays $11\%$ interest $($$$55$ semiannual coupons$),$ and the current market yield is $9\%.$ F$=1000$

$($a$)$ If the bond matures in $20$ years, compute its current price. What if the bond matures in $1$ year?

$($b$)$ What do you notice when comparing the $2$ prices and their components?