Expect the stock market rally to continue, especially if a "phenomenal set of seasonals" and history are any indication, veteran trader Art Cashin told CNBC on Tuesday.
Anyone who followed the old adage of "sell in May and go away" typically returns after October, Cashin, director of floor operations at the New York Stock Exchange for UBS, said on "Squawk on the Street." Historically, both November and December are "very good for the market," he said.
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Stock market gains will continue in the New Year, too, Cashin said. After all, years ending in "five" have been very bullish, he said. The year before a presidential election has been bullish, too, Cashin added.
"The history books and seasonality tell us the bulls are going to win out here," said Cashin, drawing on his more than 40 years of experience on Wall Street.
From Ebola to ongoing turmoil in the Middle East, investors have been able to brush off a litany of concerns lately, he noted. Any of these fears could return, but investors seemingly refuse to worry about it now, he said.
Though the markets have been on a tear lately, Cashin doesn't think it's at all "toppy." Should U.S. crude fall below $77 a barrel, though, it would be a negative for the market, he said.