closing vs finishing

closing and finishing both are nouns.

Word	Noun	Adjective	Verb	Adverb
closing	Yes	Yes	No	No
finishing	Yes	No	No	No

As nouns, finishing is a hyponym of closing; that is, finishing is a word with a more specific, narrower meaning than closing:

closing (noun)	finishing (noun)
termination of operations	the act of finishing
the act of closing something	a decorative texture or appearance of a surface (or the substance that gives it that appearance)
a concluding action
approaching a particular destination; a coming closer; a narrowing of a gap
the last section of a communication

closing (adjective)	finishing (adjective)
final or ending