Today, Jason put all of his cash into an account earning an annual interest rate of $9\%$ compounded monthly. Assuming he makes no withdrawals or additions, approximately how many years must Jason wait to double his money?

Question $11$ options:

$1)$

$7$ years, $3$ months

$2)$

$7$ years, $9$ months

$3)$

$8$ years, $9$ months

$4)$

$8$ years, $3$ months