Jack Dorsey, chief executive officer of Square on the floor of the New York Stock Exchange at the company's IPO, November 19, 2015.

Square traded up more than 1 percent Tuesday after BTIG upgraded the stock from "neutral" to "buy."

BTIG, an equity research firm, cited Square's valuation, and the potential for short-squeeze-related gains, with a new price target of $12 per share. Shares of Square traded around $9.50 Tuesday.