On Wednesday, Mr. Pulte said on social media that his agency had made a criminal referral to the Justice Department alleging that Ms. Cook committed mortgage fraud.

President Donald Trump has redoubled his call for Federal Reserve Board Governor Lisa Cook’s exit, telling reporters Friday that if Cook, a former professor at Michigan State University, doesn’t resi...

In a response to Pulte’s accusations, Cook was defiant, saying in a statement that she has “no intention of being bullied to step down from my position because of some questions raised in a tweet.”