“…As opposed to a signal of firm performance, which is “hard” or verifiable information, the information gathered by boards via monitoring is typically “soft” or nonverifiable (Cornelli, Kominek, and Ljungqvist [2013]). It is already well known that hard and soft information can be complementary (Gigler and Hemmer [1998], [2001], Dye and Sridhar [2004], Şabac and Tian [2015], Jiang [2016], Chen and Schneemeier [2022]). These papers study the complementarity of hard information and soft information when the latter is a report by the manager and the manager can misreport.…”