Forward rate agreement

Hi Mr john, in your free lecture on forward rate agreements, example 4, the higher spot rate was 1.5385 which we use while selling so basically if i go to the bank today and sell, for every 1.5385$ i get a 1£. After the premium is subtracted, the rate falls to 1.5334 which means 3 months later bank will give me 1£ for every 1.5334$ itself.
So isn’t the bank actually losing out on some money here? Its clear that when the lower rate falls from 1.5326 to 1.5264, the bank will benefit. But when company sells(bank buys), they are kinda losing out…so why is it premium there?