According to a different source, these are the options that come with this question:
<em>Options:</em>
them
you
him
<em>Antecedent:</em>
who
people
world
father
The correct form of this sentence would be:
"My father is annoyed by people who think that the world owes <u>them</u> anything."
In this sentence, the correct pronoun to use that completes the sentence is "them." Moreover, its antecedent is "people." An antecedent is the word that the pronoun refers to, while a pronoun is a word that takes the place of a noun.