Investors may need to brace for at least three rate hikes by the Fed next year, Renaissance Macro's chief U.S. economist said Friday

"I think in 2016, we're going to have the unemployment rate below 5 percent and headline inflation will be close to 2 [percent]," Neil Dutta told CNBC's "Squawk on the Street." "Underlying inflation dynamics are moving in a direction that's going to pressure the Fed towards a more aggressive path than the markets are pricing in at the moment."