The Federal Reserve may have a new chairman in Kevin Warsh, but it still has to balance its old dual mandate: Lower rates to boost the economy when the labor market is struggling, or raise rates to cool economic activity when inflation is considered too high.

New Fed Chair Kevin Warsh faces a 4.2% CPI print ahead of his first FOMC meeting, with markets pricing a 63% chance of a rate hike that could pressure

The Federal Reserve's June meeting, the first helmed by new Fed Chair Kevin Warsh, may impact many consumer borrowing and savings rates down the road.