A person who collects coins

Answer: Option B

One word substitute is Numismatist.

Philatelist: one who collects or studies stamps
Numismatist: collectors, specialist dealers and scholars who use coins in object-based research.
Narcissist: a person who has an excessive interest in or admiration of themselves.
Fatalist: someone who feels that no matter what he or she does, the outcome will be the same because it's predetermined.