Managers’ incentives to round up reported earnings per share (EPS) cause an underrepresentation of the number 4 in the first post-decimal digit of EPS, or “quadrophobia.” We develop a novel measure of aggressive financial reporting practices based on a firm’s history of quadrophobia. Quadrophobia is pervasive, persistent, and successfully predicts future restatements, Securities and Exchange Commission enforcement actions, and class action litigation. It is more pronounced when executive compensation is more closely tied to the stock price and when the firm anticipates violating debt covenants. Quadrophobia is especially strong when rounding-up EPS allows firms to meet analyst expectations, and investors seem not to see through this behavior.

We study the effectiveness of shareholder engagement, that is, shareholders communicating their views to management. When shareholders and management have different beliefs, each shareholder engages more effectively when other shareholders engage as well. A limited shareholder base can thus prevent effective engagement. However, a limited shareholder base naturally arises under heterogeneous beliefs because investors who most disagree with management do not become shareholders. Passive funds, which own the firm regardless of their beliefs, can counteract these effects and improve engagement. When shareholders’ and management’s preferences are strongly misaligned, shareholders’ engagement decisions become substitutes and the role of ownership structure declines.