FormulasIntermediateinter_paper_5_auditingChapter 2
Back to Chapters

Chapter 2

Topics and formulas

Filter by Topic

All Formulas

17 formulas

Audit Risk Model

Topic: Audit EvidenceChapter: Chapter 2
AR=IR×CR×DRAR = IR \times CR \times DR
This fundamental model defines Audit Risk (AR) as a function of Inherent Risk (IR), Control Risk (CR), and Detection Risk (DR). To reduce Audit Risk to an acceptably low level, the auditor must adjust the Detection Risk by changing the nature, timing, and extent of substantive procedures.

Detection Risk Relationship

Topic: Audit EvidenceChapter: Chapter 2
DR=ARIR×CRDR = \frac{AR}{IR \times CR}
This formula demonstrates the inverse relationship between the Risk of Material Misstatement (RMM = IR \times CR) and Detection Risk. If RMM is high, the auditor must set a lower Detection Risk, which requires more extensive audit evidence.

Materiality Concept (Quantitative)

Topic: Audit EvidenceChapter: Chapter 2
Materiality=Benchmark×PercentageMateriality = \text{Benchmark} \times \text{Percentage}
Materiality is calculated by applying a percentage to a chosen benchmark (e.g., Profit before tax, Total Revenue, or Total Assets). This helps determine the threshold above which misstatements are considered significant.

Sampling Risk and Confidence Level

Topic: Audit EvidenceChapter: Chapter 2
SampleSize∝PopulationSize×VariabilityConfidenceLevelSample Size \propto \frac{Population Size \times Variability}{Confidence Level}
While not a single rigid equation in auditing standards, this conceptual formula represents that as the required confidence level increases or the population variability increases, the required sample size for audit evidence must also increase.

Overall Materiality (Planning Materiality)

Topic: Audit Materiality and RiskChapter: Chapter 2
\text{Overall Materiality} = \text{Benchmark} \times \text{Percentage (%)}
Determined by applying a percentage to a chosen benchmark (e.g., Profit before tax, Total Revenue, or Total Assets). The percentage is selected based on professional judgment and the nature of the entity.

Performance Materiality

Topic: Audit Materiality and RiskChapter: Chapter 2
\text{Performance Materiality} = \text{Overall Materiality} \times \text{Percentage (%)}
Set at a lower level than overall materiality to reduce the probability that the aggregate of uncorrected and undetected misstatements exceeds overall materiality. The percentage (typically 50% to 75%) depends on the auditor's assessment of risk.

Trivial Threshold (Clearly Trivial)

Topic: Audit Materiality and RiskChapter: Chapter 2
\text{Trivial Threshold} = \text{Overall Materiality} \times \text{Percentage (%)}
The amount below which misstatements are considered clearly trivial and do not need to be accumulated or reported. This is usually a very small percentage of overall materiality.

Audit Risk Model

Topic: Audit Materiality and RiskChapter: Chapter 2
Audit Risk (AR)=Inherent Risk (IR)×Control Risk (CR)×Detection Risk (DR)\text{Audit Risk (AR)} = \text{Inherent Risk (IR)} \times \text{Control Risk (CR)} \times \text{Detection Risk (DR)}
The relationship between the components of audit risk. IR and CR represent the Risk of Material Misstatement (RMM), while DR is the risk that the auditor's procedures fail to detect a misstatement.

Detection Risk Relationship

Topic: Audit Materiality and RiskChapter: Chapter 2
\text{If (IR \times CR) \uparrow, then DR must \downarrow
An inverse relationship used during planning: if the Risk of Material Misstatement (Inherent Risk and Control Risk) is high, the auditor must lower Detection Risk by performing more substantive testing.

Detection Risk Calculation

Topic: Audit Materiality and RiskChapter: Chapter 2
DR=ARIR×CRDR = \frac{AR}{IR \times CR}
This formula is a rearrangement of the Audit Risk Model, used by the auditor to determine the acceptable level of Detection Risk (DR). By setting a desired overall Audit Risk (AR) and assessing Inherent Risk (IR) and Control Risk (CR), the auditor can calculate the required level of Detection Risk, which in turn guides the nature, timing, and extent of substantive audit procedures.

Audit Risk Model

Topic: Audit ReportChapter: Chapter 2
AR=IR×CR×DRAR = IR \times CR \times DR
This formula defines the relationship between Audit Risk (AR), Inherent Risk (IR), Control Risk (CR), and Detection Risk (DR). The auditor assesses IR and CR (Risk of Material Misstatement) to determine the level of DR they can accept to keep AR at an appropriately low level.

Materiality (Overall/Planning Materiality)

Topic: Audit ReportChapter: Chapter 2
Materiality=Benchmark×% of BenchmarkMateriality = \text{Benchmark} \times \% \text{ of Benchmark}
Materiality is calculated by applying a percentage to a chosen benchmark (e.g., Profit before tax, Total Revenue, or Total Assets). It determines the threshold above which misstatements are considered significant.

Performance Materiality

Topic: Audit ReportChapter: Chapter 2
PM=Overall Materiality×% (usually 50% to 75%)PM = \text{Overall Materiality} \times \% \text{ (usually 50\% to 75\%)}
Performance Materiality is set at a lower level than overall materiality to reduce the probability that the aggregate of uncorrected and undetected misstatements exceeds overall materiality.

Tolerable Misstatement

Topic: Audit ReportChapter: Chapter 2
TM=Materiality for specific classes of transactions, balances, or disclosuresTM = \text{Materiality for specific classes of transactions, balances, or disclosures}
This is the application of materiality to specific account balances or transaction classes to guide the extent of substantive testing.

Sufficiency of Audit Documentation Rule

Topic: Audit DocumentationChapter: Chapter 2
Sufficiency∝Nature of Engagement×Complexity of Audit×Risk of Material Misstatement\text{Sufficiency} \propto \text{Nature of Engagement} \times \text{Complexity of Audit} \times \text{Risk of Material Misstatement}
This conceptual formula represents that the volume and depth of documentation required are directly proportional to the complexity of the entity, the nature of the audit engagement, and the assessed level of risk.

Documentation Retention Period Rule

Topic: Audit DocumentationChapter: Chapter 2
Retention Period≥Statutory Requirement (usually ≥7 years in India)\text{Retention Period} \ge \text{Statutory Requirement} \text{ (usually } \ge 7 \text{ years in India)}
The auditor must ensure that the documentation is retained for a period sufficient to meet legal/regulatory requirements and the needs of the firm's quality control.

Audit Evidence Quality Metric

Topic: Audit DocumentationChapter: Chapter 2
Audit Evidence Quality=Relevance∩Reliability\text{Audit Evidence Quality} = \text{Relevance} \cap \text{Reliability}
For documentation to be effective, the evidence recorded must satisfy both relevance (to the assertion) and reliability (source and nature of evidence).
Chapter 2 Formulas — CA Intermediate | Kartavvya