Donald Trump is not expected to offer Janet Yellen a second four-year term at the helm of the central bank when her term expires in early February 2018 With two nominations made by President Obama stalled, Trump will get a chance to add a pair of officials to the Federal Open Market Committee. The positions will be of particular importance given that Trump will have a chance to nominate a replacement for Janet Yellen when her term as chair expires in Feb. 2018.