The race to see who will lead the Federal Reserve in 2018 and beyond is becoming a process of elimination, with two and perhaps three candidates remaining.

President Donald Trump apparently has solidified his thinking and is now choosing between Fed Governor Jerome "Jay" Powell and Stanford economist John Taylor.

However, several twists have been interjected into the equation.

"Trump changes his mind about it every day," a source told Politico, according to a report posted Thursday.

Read more on CNBC.