The Importance of Quantifying Uncertainty : Examining the Effects of Sensitivity Analysis and Audit Materiality Disclosures on Investors’ Judgments and Decisions

The amount of estimation uncertainty contained in financial statement items may be obscured from investors, given that all estimates, regardless of their imprecision, are reported as precise figures on the face of the financial statements. Our study examines two disclosures expected to help investors evaluate the reliability of subjective fair value estimates: a quantitative sensitivity analysis (QSA) and the auditor's quantitative materiality threshold. Using an experiment, we predict and find that investors judge the reliability of a reported estimate to be higher and are more willing to invest in the company when a QSA disclosure is indicative of low sensitivity (i.e., greater precision) compared to high sensitivity (i.e., greater imprecision), but only if the auditor's materiality threshold is also disclosed. When materiality is not disclosed, investors fail to recognize differences in reliability between the two levels of sensitivity, even though the amount of imprecision in the low sensitivity condition represents a fraction of materiality, while in the high sensitivity condition, this amount exceeds materiality multiple times over. Furthermore, when both disclosures are absent and only a qualitative description of sensitivity is provided — as required by current standards — investors respond to the ambiguous disclosure by decreasing their willingness to invest. The results of our study should be informative to accounting and auditing standard setters as they continue to consider the types of disclosures that may help investors understand the most complex and subjective aspects of financial reporting