The Audit Risk Model: AR = IR × CR × DR
This multiplicative model shows the relationship between the components. The auditor sets an acceptable level of overall audit risk (e.g., 5%), assesses IR and CR, and then designs procedures to reduce DR to an acceptable level.
1. Inherent Risk (IR)
"The risk that exists in the business itself, before any controls."
- Definition: The susceptibility of an account balance, class of transactions, or disclosure to a material misstatement, assuming no related internal controls.
- Factors Increasing IR:
- Complex transactions (derivatives, complex estimates).
- Susceptibility to theft/fraud (cash, inventory).
- Need for judgment/estimates (warranty provisions, asset impairments).
- Rapid change (new technology, products, accounting standards).
- Financial pressure/industry conditions (declining industry, going concern issues).
- Example: Cash has high inherent risk because it is easily stolen. Accounting for a simple bank loan has low inherent risk.
- Auditor's Role: Assess and evaluate, but cannot control inherent risk.
2. Control Risk (CR)
"The risk that the company's own controls fail to catch a misstatement."
- Definition: The risk that a material misstatement could occur and not be prevented, or detected and corrected, on a timely basis by the entity's internal control.
- Assessment: Auditor evaluates the design and implementation of controls and may test their operating effectiveness.
- Maximum vs. Lower Assessment:
- Assess CR at Maximum (100%): If controls are poor, not tested, or testing is inefficient. The auditor will rely primarily on substantive procedures.
- Assess CR at Lower than Maximum: If controls are strong and the auditor plans to rely on them, allowing for less substantive testing.
- Auditor's Role: Assess and evaluate, but cannot control control risk.
3. Detection Risk (DR)
"The risk that the auditor's own procedures fail to catch a misstatement."
- Definition: The risk that the procedures performed by the auditor to reduce audit risk to an acceptably low level will not detect a material misstatement.
- The Variable the Auditor Controls: DR is a function of the effectiveness of the audit procedures and how they are applied (nature, timing, extent).
- Nature: The type of procedure (inspection of documents vs. analytical review).
- Timing: Interim vs. year-end.
- Extent: Sample size.
- The Inverse Relationship: If IR and CR are assessed as high, the auditor must set DR very low to keep overall AR acceptable. A low DR requires more persuasive evidence (more extensive, more effective procedures).