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What would the broker do about this naked call option?
If the underlying is currently moving as aggressively as stated, the broker would immediately forcibly close positions to maintain margin.  What securities are in fact closed depends upon the internal algorithms. If the equity in the account remains negative after closing all positions if necessary, the owner of the account shall owe the broker the balance.  The broker will close the account and commence collections if the owner of the account does not pay the balance quickly. Sometimes, brokers will impose higher margin requirements than mandated to prevent the above eventuality. Brokers frequently close positions that violate internal or external margin requirements as soon as they are breached.