WOLFEBORO, N.H. — Mitt Romney insists that he stepped down from his private equity firm years earlier than federal records indicate, but President Barack Obama is more than a little skeptical and says his Republican rival has much to explain.

Obama campaign advisers said the president, during a second straight day in tightly contested Virginia, planned to remind voters today of the discrepancies between Securities and Exchange Commission filings and Romney’s recollection of his role at Boston-based Bain Capital.