Suppose Gomas Enterprises has issued a bond that pays an $11\%$ coupon rate

semiannually$),$ and the current market interest rate on similar investments is $9\%.$

$($a$)$ If the bond matures in $20$ years, compute its current price.

$($b$)$ What if the bond matures in $1$ year?

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