Jonathan Hemlock is an art history professor and collector who finances his hobby by performing the odd sanction (assassination) for an obscure government bureau. He is forced to take a case where he must find out which of the members of a mountain climbing team is the Russian killer he has been given as a target by joining an expedition to climb the treacherous Eiger.

Rocky Balboa is a struggling boxer trying to make the big time, working as a debt collector for a pittance. When heavyweight champion Apollo Creed visits Philadelphia, his managers want to set up an exhibition match between Creed and a struggling boxer, touting the fight as a chance for a "nobody" to become a "somebody". The match is supposed to be easily won by Creed, but someone forgot to tell Rocky, who sees this as his only shot at the big time.