ABSTRACT We study an economy with financial frictions in which a regulator designs a test that reveals outside information about a firm's quality to investors. The firm can also disclose verifiable inside information about its quality. We show that the regulator optimally aims for “public speech and private silence,” which is achieved with tests that give insiders an incentive to stay quiet. We fully characterize optimal tests by developing tools for Bayesian persuasion with incentive constraints, and use these results to derive novel guidance for the design of bank stress tests, as well as benchmarks for socially optimal corporate credit ratings.

We examine persuasion when the sole source of credibility today is a desire to maintain a public record for accuracy. A long-run sender plays a cheap talk game with a sequence of short-run receivers, who observe some record of feedback about past accuracy. When all feedback is public (as is standard in repeated games), persuasion frequently requires inefficient on-path punishment—even if accuracy is monitored perfectly. If instead the record publishes coarse summary statistics (as is common online), any communication equilibrium the sender prefers to one-shot cheap talk—including Bayesian persuasion—can be supported without cost.