Select all that are true regard currency options:

A$.)$ A call options gives the holder the right, but not the obligation, to buy the currency at the strike price $($exchange rate$)$ stipulated in the contract

B$.)$ A put option gives the right to sell the contract currency at the agreed exchange rate to the writer of the option in exchange for the cross currency

C$.)$The writer of an unexercised currency option collects the option fee without the need to do anything else

D$.)$The fee associated with an option is always a cost to the writer regardless of exercise

E$.)$The writer of a currency option is assuming some of the exchange rate risk