Yes, PERSPICACITY is a Scrabble word!

Letter values in Scrabble US: P 3, E 1, R 1, S 1, P 3, I 1, C 3, A 1, C 3, I 1, T 1, Y 4.

Is it a valid word?

PERSPICACITY is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

intelligence manifested by being astute (as in business dealings)
the capacity to assess situations or circumstances shrewdly and to draw sound conclusions

Also: perspicaciousness, sound judgment, sound judgement.