9-25 a. b. c. d. The justification for a lower preliminary judgment about materiality for overstatements is directly related to legal liability and audit risk. Most auditors believe they have a greater legal and professional responsibility to discover overstatements of owners' equity than understatements because users are likely to be more critical of overstatements. That does not imply there is no responsibility for understatements. There are two reasons for permitting the sum of tolerable misstatements to exceed overall materiality. First, it is unlikely that all accounts will be misstated by the full amount of tolerable misstatement. Second, some accounts are likely to be overstated while others are likely to be understated, resulting in net misstatement that is likely to be less than overall materiality. This results because of the estimate of sampling error for each account. For example, the likely estimate of accounts receivable is an understatement of $7,500 + or - a sampling error of $11,500. You would be most concerned about understatement for accounts receivable because the estimated understatement of $19,000 exceeds the tolerable misstatement of $18,000 for that account. You would be most concerned about understatement amounts since the total estimated understatement amount ($30,000) exceeds the preliminary judgment about materiality for understatements ($20,000). You would be most concerned about accounts receivable given that the total misstatement for that account exceeds tolerable misstatement for understatement. e. 1. 2. This may occur because total tolerable misstatement was allowed to exceed the preliminary judgment (see Part b for explanation). The auditor must determine whether the actual total overstatement amount actually exceeds the preliminary judgment by performing expanded audit tests or by requiring the client to make an adjustment for estimated misstatements. 9-31 a. Acceptable audit risk A measure of how willing the auditor is to accept that the financial statements may be materially misstated after the audit is completed and an unqualified opinion has been issued. This is the risk that the auditor will give an incorrect audit opinion. Inherent risk A measure of the auditor's assessment of the likelihood that there are material misstatements in a segment before considering the effectiveness of internal control. This risk relates to the auditor's expectation of misstatements in the financial statements, ignoring internal control. Control risk A measure of the auditor's assessment of the likelihood that misstatements exceeding a tolerable amount in a segment will not be prevented or detected by the client's internal controls. This risk is related to the effectiveness of a client's internal controls. Planned detection risk A measure of the risk that audit evidence for a segment will fail to detect misstatements exceeding a tolerable amount, should such misstatements exist. In audit planning, this risk is determined by using the other three factors in the risk model using the formula PDR = AAR / (IR x CR). b. Acceptable Audit Risk IR x CR PDR = AAR / (IR x CR) Planned Detection Risk in percent 1 .05 1.00 .05 2 .05 .24 .208 3 .05 .24 .208 4 .05 .06 .833 5 .01 1.00 .01 6 .01 .24 .042 5% 20.8% 20.8% 83.3% 1% 4.2% c. 1. 2. 3. 4. Decrease; Compare the change from situation 1 to 5. Increase; Compare the change from situation 1 to 2. Increase; Compare the change from situation 1 to 2. No effect; Compare the change from situation 2 to 3. d. Situation 5 will require the greatest amount of evidence because the planned detection risk is smallest. Situation 4 will require the least amount of evidence because the planned detection risk is highest. In comparing those two extremes, notice that acceptable audit risk is lower for situation 5, and both control and inherent risk are considerably higher. 9-34 a b c d e f g h i j CONTROL RISK INHERENT RISK ACCEPTABLE AUDIT RISK PLANNED EVIDENCE N N D N N D I I I D N or I N N I N D I I I I D D N N I N N D N N I I D I D D I I I C 9-32 a. Low, medium, and high for the four risks and planned evidence have meaning only in comparison to each other. For example, an acceptable audit risk that is high means the auditor is willing to accept more risk than in a situation where there is medium risk without specifying the precise percentage of risk. The same is true for the other three risk factors and planned evidence. b. 1 2 3 4 5 6 Acceptable Audit Risk H H L L H M IR x CR L M H M M M PDR = AAR / (IR x CR) H M L L M M Planned Evidence L M H H M M L = low, M = medium, H = high c. (1) (2) (3) (4) (5) EFFECT ON PDR EFFECT ON EVIDENCE Increase Decrease NA Decrease No effect Decrease Increase Decrease Increase No effect