We study the link between business failures, markups and business cycle asymmetry in the U.S. economy with a model of optimal …rm exit under rational inattention. We show that the model's predictions of lagged, counter-cyclical and positively skewed markups together with counter-cyclical exit rates are consistent with the empirical evidence. Moreover, our model uncovers a new mechanism that links information processing with the business cycle. It predicts countercyclical attention to economic conditions consistent with survey evidence. JEL: E32, D22, D21, D80, C63.