The Federal Reserve Bank of New York shaped Washington's response to the financial crisis late last year, which buoyed Goldman Sachs Group Inc. and other Wall Street firms. Goldman received speedy approval to become a bank holding company in September and a $10 billion capital injection soon after.

During that time, the New York Fed's chairman, Stephen Friedman, sat on Goldman's board and had a large holding in Goldman stock, which because of Goldman's new status as a bank holding company was a violation of Federal Reserve...