A stock is currently trading for $$15.$ The company has a price$$earnings multiple of $10.$ There are $100$ million shares outstanding. Your model indicates that the stock is actually worth $$18.$ The company announces that it will use $$400$ million to repurchase shares. After the repurchase, what is the actual price$-$earnings ultiple of the stock?

$7\mathrm{.}33$

$8\mathrm{.}44$

$10$

$9\mathrm{.}27$