Judging by the candidate's recent comments, a Donald Trump administration would not be hospitable to the current Federal Reserve makeup. Consequently, should the Republican win, it would create pressure on the central bank's command structure — so much so that Chair Janet Yellen would be inclined to resign, according to one analysis of the increasingly tense situation. "If Donald Trump wins November's presidential election, there is now a clear possibility that Fed Chair Janet Yellen would resign almost immediately, perhaps even before the mid-December (Federal Open Market Committee) meeting," Paul Ashworth, chief U.S. economist at Capital Economics, a London-based global forecasting firm, said in a note. "It is hard to see how she could continue in her position until her current term expires in early 2018." The speculation comes amid a fresh round of criticism the outspoken New York businessman has lobbed at the Fed. In a Sept. 12 CNBC appearance, Trump blasted the Fed for being political and said Yellen herself should be "ashamed." He doubled down on those remarks during Monday night's debate, saying the central bank was keeping interest rates low in order to boost the stock market and help the Obama administration.

Janet Yellen Pete Marovich | Bloomberg | Getty Images

"We are in a big, fat, ugly bubble. And we better be awfully careful. And we have a Fed that's doing political things," Trump said, adding, "the Fed is not doing their job. The Fed is being more political than Secretary Clinton." Despite heat from Trump, the Fed chair is unlikely to walk away, said economist Alan Blinder, professor of economics and public affairs at Princeton University. "Should Donald Trump, God forbid, win the presidency, he has every right to put in a new Fed chair," Blinder said. "The notion that she would resign because of ridiculous things that he has said is ludicrous." Trump has not called for Yellen's resignation, but indicated that he might replace her. The election comes a month before the Fed meets Dec. 13-14 — a meeting during which the Fed is widely expected to approve an interest rate hike.

Yellen: 'politics plays no role in our decisions'