Audit Risk = Inherent Risk x Control Risk x Detection Risk
RMM (risk of material misstatement) = IR x CR
Auditing & Assurance
Audit Risk & Materiality
The audit risk model expresses audit risk as the product of inherent risk, control risk, and detection risk: AR = IR x CR x DR. Audit risk is the risk the auditor gives an inappropriate opinion when the statements are materially misstated. The auditor assesses IR and CR (risk of material misstatement) and adjusts detection risk (via procedures) to keep audit risk acceptably low.
Real-world example
Assessing high inherent and control risk, the auditor lowers detection risk by doing more extensive substantive testing.
Audit Evidence & Procedures
Internal Controls Evaluation
Audit Risk & Materiality
Inherent risk is the susceptibility of an assertion or account to material misstatement, before considering related controls, due to its nature or circumstances—complexity, estimation, susceptibility to fraud, or volatile conditions. Cash is lower inherent risk than complex financial instruments or management estimates, which are higher.
Real-world example
Fair-value estimates for illiquid assets carry high inherent risk due to judgment and uncertainty.
Internal Controls Evaluation
Audit Evidence & Procedures
Audit Risk & Materiality
Control risk is the risk that a material misstatement in an assertion won't be prevented, or detected and corrected, on a timely basis by the entity's internal controls. It depends on the design and operating effectiveness of controls. Weak controls mean high control risk, requiring more substantive audit work.
Real-world example
A company with no segregation of duties in cash handling has high control risk over misappropriation.
Internal Controls Evaluation
Audit Evidence & Procedures
Audit Risk & Materiality
Detection risk is the risk that the auditor's procedures fail to detect a material misstatement that exists. It's the component the auditor controls: when the assessed risk of material misstatement (IR x CR) is high, the auditor lowers acceptable detection risk by performing more effective, extensive, or year-end procedures. It's inversely related to RMM.
If RMM is high -> set detection risk low -> more/better procedures.
If RMM is low -> higher detection risk acceptable -> less testing.
Real-world example
Facing high RMM on revenue, the auditor reduces detection risk with larger samples and external confirmations.
Audit Sampling
Audit Evidence & Procedures
Audit Risk & Materiality
Materiality is the magnitude of an omission or misstatement that could influence the economic decisions of users taken on the basis of the financial statements. Auditors set materiality to plan procedures and evaluate misstatements: items above it are material. It has quantitative and qualitative dimensions.
Real-world example
A $50,000 error is immaterial to a company with $500m revenue but material to a small business with $1m revenue.
Audit Sampling
Audit Report & Opinions
Audit Risk & Materiality
Auditors apply a percentage to a chosen benchmark reflecting users' focus: commonly 0.5-1% of revenue or total assets, or 5-10% of profit before tax. The benchmark and percentage depend on the entity and users. This gives overall materiality; performance materiality is set lower to reduce the risk that aggregated errors exceed materiality.
Overall materiality example:
5% x profit before tax (2,000,000) = 100,000
Performance materiality:
75% x 100,000 = 75,000
Real-world example
For a profitable company, the team sets overall materiality at 5% of PBT and performance materiality at 75% of that.
Audit Sampling
Audit Evidence & Procedures
Audit Risk & Materiality
Performance materiality is an amount set below overall materiality to reduce the probability that the aggregate of uncorrected and undetected misstatements exceeds overall materiality (aggregation risk). It's applied to procedures and sample sizes, giving a margin so many small individually-immaterial errors don't collectively become material.
Performance materiality = 50-75% of overall materiality
(lower when risk is higher).
Real-world example
Setting performance materiality at 65% of overall gives a buffer so several small undetected errors won't breach materiality in total.
Audit Sampling
Audit Evidence & Procedures
Audit Risk & Materiality
Qualitative materiality means some misstatements matter regardless of size due to their nature or context: those changing a loss to profit or breaching a covenant, affecting management bonuses, involving fraud or illegal acts, misclassifications that mislead, or related-party issues. Auditors consider these even when amounts are numerically small.
Real-world example
A small misstatement that turns a reported loss into a profit is material by nature, despite its tiny size.
Audit Report & Opinions
Fraud & Error Responsibilities
Audit Risk & Materiality
A significant risk is an identified risk of material misstatement requiring special audit consideration—often involving fraud, complex/subjective estimates, significant unusual or related-party transactions, or judgment. The auditor must understand related controls and perform substantive procedures specifically responsive to it, and cannot rely solely on analytical procedures or prior-year evidence.
Real-world example
Revenue recognition is treated as a significant risk, prompting targeted substantive tests and scrutiny of period-end cutoff.
Audit Evidence & Procedures
Fraud & Error Responsibilities
Audit Risk & Materiality
Accumulate identified misstatements (other than clearly trivial), consider whether individually or in aggregate they're material (quantitatively and qualitatively), request management to correct them, and evaluate uncorrected misstatements against materiality—including the effect of prior-period uncorrected items. Material uncorrected misstatements affect the opinion.
Uncorrected misstatements total 90,000 vs materiality 100,000
-> below materiality, but assess qualitative factors and trend.
Real-world example
The team aggregates uncorrected errors, finds them just below materiality, but flags a qualitative concern for the audit committee.
Audit Report & Opinions
Audit Sampling
Audit Risk & Materiality