perspicacity vs acumen

perspicacity and acumen both are nouns.

Word	Noun	Adjective	Verb	Adverb
perspicacity	Yes	No	No	No
acumen	Yes	No	No	No

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

perspicacity: intelligence manifested by being astute (as in business dealings)
acumen: shrewdness shown by keen insight

perspicacity (noun)	acumen (noun)
the capacity to assess situations or circumstances shrewdly and to draw sound conclusions	shrewdness shown by keen insight
intelligence manifested by being astute (as in business dealings)	a tapering point