Consider:

$($a$)$ Stock trades for $$100$;

$($b$)$ Calls with exercise prices of $$110$ trade at prices of $$7\mathrm{.}74$;

$($c$)$ Puts with exercise prices of $$90$ trade at prices of $$4\mathrm{.}52.$

If a person buys a $$110$ call and a $$90$ put, what is the magnitude of her maximum loss? Please answer correctly up to two decimal places.