President elect Trump was outspokenly critical of the Federal Reserve and Janet Yellen throughout his campaign, arguing that interest rates should be higher and that the Fed balance sheet should de reduced. While he has tempered his tone since being elected, he could still try to change the way the Fed operates, according to Nomura economist Charles St-Arnaud.
He has been vocal about the potential of requiring more scrutiny in the form of an audit of Federal Reserve activity, greater supervision from Congress, and about altering the Fed's mandate in terms of inflation targeting that includes asset prices (like house prices).
He also spoke about creating "Taylor-rule" based rate decisions, where policy rates are automatically adjusted to changes in the determinants of the rule (eliminating any discretion in monetary policy and making it more predictable), and a return to a gold standard or rule-based supply of money, thereby preventing bubbles and containing inflation.
With currently two vacancies on the Federal Reserve board, Trump will be able to name board members with similar views. With Chair Yellen and Vice-Chair Fischer's term expiring in 2018, it is the President's decision (with Senate confirmation) as to who of the current sitting board members is nominated chair and vice-chair. There is also the risk that any changes in the Fed's mandate could lead to the resignation of current members, according to St-Arnaud, allowing Trump to name more like-minded governors.