Your local gift shop starts a membership program for its loyal customers. Customers who have a $8-$year membership card will get a $20\%$ discount on every purchase and the store owner believes that a loyal customer spends $$360($before discount$)$ on average in the store every year. The market interest rate is $4\mathrm{.}5\%.$ If the store owners expectations are correct, how much can she charge for the $8-$year membership card? $($Note: Assume the customers make all their purchases at the end of the year.$)$