A $$500,9\%(2)$ bond maturing on $10/1/20$ is sold on $4/1/14.$

$($a$)$ If the buyer desires $8\%(2)$ on his money, what will he pay for the bond?

$($b$)$ Was the bond sold at a premium or a discount? What is the premium$/$discount$?$

$($c$)$ If the bond has a call provision of $105$ that may be taken on $10/1/16,$ what is its value

when $8\%(2)$ is still desired?