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Audit risk and the auditor’s response to assessed risks (ISA 330)

ICAN Skills, Audit, Assurance and Forensics. Syllabus area A, process of audit and assurance

10 min read · Updated 8 November 2026

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In this part

Two clients, same size. The first is a food manufacturer with a long-serving finance team, a tidy system and no complicated estimates. The second is a construction company with long contracts, big estimates, new staff and loose controls. An auditor who tests both with the same sample sizes will over-audit the first and under-audit the second.

The risk-based approach fixes this by asking, for every area, how likely a material error is and how much testing is needed to be satisfied that there is not one.

This topic covers the risk-based approach, the response to assessed risks under International Standard on Auditing (ISA) 330, the three components of audit risk and the formula that links them, the effect of the control environment, and the exam technique for identifying risks from a scenario. The previous topics covered planning, understanding the entity and materiality. The next covers fraud.

In 30 seconds

Audit risk: the risk that the auditor gives an inappropriate opinion when the statements are materially misstated. Model: AR = IR × CR × DR (inherent, control and detection risk). Inherent risk exists before controls and cannot be controlled. Control risk is the risk that controls fail to prevent or detect an error; start by assuming it is high until tests of controls show otherwise.

Detection risk is the risk that audit tests miss a misstatement; the auditor manages it with more or less testing. DR = AR ÷ (IR × CR). ISA 330: overall responses at financial statement level and further procedures at assertion level.

Key terms in plain English

TermWhat it means
Audit riskThe risk of giving an inappropriate opinion on materially misstated statements
Inherent riskSusceptibility to misstatement before controls
Control riskRisk that controls fail to prevent or detect an error
Detection riskRisk that audit tests miss a misstatement
Risk of material misstatementInherent risk and control risk combined
Further audit proceduresTests of controls and substantive procedures

Syllabus check

This topic is in syllabus area A, process of audit and assurance (20% of marks). It covers:

  • audit risk and the response to assessed risks
  • planning an audit
  • the nature and use of internal control

CAMA 2020 and audit risk

The Companies and Allied Matters Act 2020 (CAMA 2020) is the company law of Nigeria. The sections below apply to this topic.

SectionWhat it saysLink to this topic
s. 404(1) and (2)The auditors report on true and fair view and the Fifth Schedule mattersAudit risk is the risk of a wrong opinion on these
s. 405Corporate responsibility for financial reportsManagement's controls drive control risk
s. 407(3)Right of access to books, accounts and vouchersAccess allows the auditor to lower detection risk through testing

The rules in more depth

The risk-based approach

A key feature of modern auditing is the risk-based approach. At planning, ISA 315 requires the auditor to identify and assess the main risks of the business. The auditor then prepares an overall strategy and plan under ISA 300 to focus the work on high-risk areas.

ISA 330, The Auditor's Responses to Assessed Risks, adds that the auditor's objective is to obtain sufficient appropriate audit evidence about the assessed risks of material misstatement by designing and carrying out suitable responses. In short the auditor must assess the risks and plan the work so that any material misstatements are found and corrected, which should ensure that the statements present a true and fair view.

Responses to assessed risks: ISA 330

At the financial statement level the responses are overall ones, which may include:

  • stressing to the team the need to keep up professional scepticism;
  • assigning more experienced staff or giving more supervision;
  • using experts; and
  • changing the nature, timing and extent of procedures, for example doing more substantive procedures at the final audit than at the interim, or getting more persuasive evidence.

The response depends heavily on the assessment of the control environment. An effective environment raises confidence in controls in all areas and allows more work at the interim audit and fewer tests of detail. At the assertion level the responses are further audit procedures, which are tests of controls and substantive procedures. Later topics describe both.

The audit risk model

Audit risk is the risk that the auditor expresses an inappropriate audit opinion when the financial statements are materially misstated. It is the chance of reaching a wrong conclusion on the area audited. An audit risk of 5% means the auditor accepts a 5% chance that the item is misstated and a 95% probability that it is materially correct. The model is:

AR = IR × CR × DR

where AR is audit risk, IR is inherent risk, CR is control risk and DR is detection risk. Risks are expressed as proportions, so 10% is entered as 0.10.

Inherent risk

Inherent risk is the susceptibility of an assertion about a class of transactions, an account balance or a disclosure to a misstatement that could be material, before considering any related controls. It arises from:

  • the nature of the items: estimated items are inherently risky because they depend on an estimate and not a precise measure; and
  • the nature of the entity and its industry: a construction company in a volatile industry is more likely to have misstated items than a food and drinks manufacturer.

Inherent risk operates independently of controls. It cannot be controlled, and the auditor must accept that it will not go away. Under the revised ISA 315 the auditor also considers inherent risk factors, which are complexity, subjectivity, change, uncertainty and susceptibility to misstatement due to management bias or fraud.

The higher an item scores on these factors, the higher the inherent risk, and the auditor assesses it on a spectrum from low to high.

Control risk

Control risk is the risk that a misstatement that could occur and be material will not be prevented, or detected and corrected on a timely basis, by the entity's internal control. The auditor assesses it for each area of the audit and obtains evidence through tests of controls. The starting assumption is that control risk is very high and the controls are insufficient to prevent material misstatement.

Tests of controls may give enough evidence to reduce the estimate for audit planning. Recommendations for improving controls can affect control risk in future years but not in the period under audit.

Detection risk

Detection risk is the risk that the procedures the auditor performs to reduce audit risk to an acceptably low level will not detect a misstatement that exists and could be material. If detection risk is 10%, there is a 10% probability that the tests fail to find a material misstatement. It can be lowered by doing more tests. Reducing it from 10% to 5% needs more work.

Of the three components, detection risk is the only one the auditor controls directly.

How the model is used

  1. Set the overall level of audit risk judged acceptable for the audit.
  2. Assess inherent risk and control risk.
  3. Adjust detection risk to achieve the overall level: DR = AR ÷ (IR × CR).

When inherent and control risk are high, detection risk must be low, which means more extensive, more reliable testing nearer the year end and larger samples. When they are low, detection risk can be higher, which allows less testing. The product of inherent and control risk is the risk of material misstatement, the risk that the statements contain a material error before the auditor does any work.

RiskWho controls itHow it is reduced
InherentNobody: it exists in the businessIt cannot be reduced; the auditor responds to it
ControlThe entity, through its internal controlBetter controls, which affect later periods
DetectionThe auditorMore, better-timed or larger tests

Exam technique: identifying risks from a scenario

A scenario contains clues. Each clue affects the assessment of inherent, control or detection risk. A good answer spots the clue and explains why it is a risk.

The classic scenario is Risky Sounds, a retailer of hi-tech recording equipment, started under a year ago by its sole shareholder and director, with a series of book-keepers, the latest just gone, and a re-mortgaged home and a business loan with a bank that wants the financial statements.

ClueRisk and why
Hi-tech equipmentQuick obsolescence: risk that inventory is overstated and needs a write-down, and that the business may not survive
Started a year agoStart-ups often fail; first accounts; the firm is unfamiliar with the business and has no prior year figures (detection risk)
Sole shareholder and directorPersonal motive to misstate; nobody to check his decisions
A series of book-keepersPressure on staff or chaos in the system: high risk of misstatement
The latest book-keeper has just leftNobody to prepare the statements, and a new person will not know the system
Mortgage and bank loanA strong personal motive to overstate profit to keep the business and the home

Identifying inherent risks: the charity example

A charity gets cash from volunteers in the street and cheques by post, sometimes with conditions on use, and its constitution limits administration costs to 15% of income.

The inherent risks are that volunteers keep some cash, that no control can show that all money received is recorded because there are no sales invoices, that restricted gifts may not be spent for their purpose, that spending may not match the constitution and that administration costs may be mis-classified to stay under the limit.

Because these risks cannot be controlled in practice, the auditor must decide what substantive checks to do and whether any can give assurance. If no check can give assurance on the completeness of income, the auditor must consider a comment in the report that completeness could not be verified.

Worked examples

Example 1: the calculation. The auditor accepts audit risk of 10%. Inherent risk is 50% and control risk is 80%. (a) What does a 10% audit risk mean? (b) What detection risk is implied? (c) What if audit risk were 5%?

  1. (a) There is a 10% risk that the opinion is wrong, or 90% certainty that it is right.
  2. (b) DR = 0.10 ÷ (0.50 × 0.80) = 0.10 ÷ 0.40 = 0.25, or 25%.
  3. (c) DR = 0.05 ÷ 0.40 = 0.125, or 12.5%.
    A lower detection risk means more audit work.

Example 2: raising control risk. Tests show that the sales system has weak authorisation controls. Control risk goes from 60% to 100%, inherent risk is 50% and audit risk stays at 5%.

  1. Before.
    DR = 0.05 ÷ (0.5 × 0.6) = 16.7%.
  2. After.
    DR = 0.05 ÷ (0.5 × 1.0) = 10%.
  3. Detection risk must fall, so more substantive testing is needed on sales.

Example 3: classify the risk. (a) A company's inventory is valued by estimating the stage of completion of long-term contracts. (b) The company has no control over who can change prices in the sales system. (c) The auditor uses a very small sample of receivables.

  1. (a) Inherent risk: the item depends on an estimate.
  2. (b) Control risk: the control environment does not stop an error.
  3. (c) Detection risk: a small sample is more likely to miss a misstatement.

Example 4: overall responses. The auditor finds that the finance director overrides controls.

  1. The risk is at the financial statement level.
  2. Overall responses: more experienced staff, closer supervision, more scepticism, more unpredictable procedures, more substantive work at the year end.

How to score full marks

  • For each clue name the risk and the reason, then the audit response.
  • Show the working in a formula question: DR = AR ÷ (IR × CR).
  • Say that only detection risk is controlled by the auditor.
  • Use inherent risk for estimates, industry and complexity.

Common mistakes in the exam

  • Saying the auditor can reduce inherent risk.
  • Multiplying instead of dividing when finding detection risk.
  • Starting from low control risk before testing the controls.
  • Listing risks with no explanation of why they matter.

Quick revision

  • AR = IR × CR × DR; DR = AR ÷ (IR × CR).
  • Inherent: nature of item or industry; cannot be controlled.
  • Control: failure of controls; assume high until tested.
  • Detection: auditor's tests; more work lowers it.
  • ISA 330: overall responses and further procedures.

Practice questions

Questions 1 to 10 are multiple choice. Questions 11 to 13 are written. Try each before opening the answer.

Question 1. The audit risk model is:

  1. AR = IR × CR × DR
  2. AR = IR + CR + DR
  3. AR = IR ÷ CR
  4. AR = DR × materiality
Show the answer

A. Multiplicative.

Question 2. Which risk can the auditor control directly?

  1. Inherent risk
  2. Control risk
  3. Detection risk
  4. Business risk
Show the answer

C. By changing the tests.

Question 3. Inherent risk exists:

  1. Before considering controls
  2. Only after tests
  3. Only with fraud
  4. Only in banks
Show the answer

A. It operates independently of controls.

Question 4. The starting assumption for control risk is that it is:

  1. Very high
  2. Very low
  3. Zero
  4. Not assessed
Show the answer

A. Until tests of controls show otherwise.

Question 5. If audit risk is 10%, inherent risk 50% and control risk 80%, detection risk is:

  1. 10%
  2. 25%
  3. 40%
  4. 80%
Show the answer

B. 0.10 ÷ 0.40 = 25%.

Question 6. If audit risk falls to 5% with the same IR and CR, detection risk becomes:

  1. 25%
  2. 12.5%
  3. 50%
  4. 5%
Show the answer

B. 0.05 ÷ 0.40.

Question 7. A lower detection risk requires:

  1. Less audit work
  2. More audit work
  3. No audit work
  4. A bigger fee only
Show the answer

B. More tests.

Question 8. An estimated item has higher:

  1. Inherent risk
  2. Detection risk only
  3. Tax risk
  4. No risk
Show the answer

A. Because it depends on judgement.

Question 9. ISA 330 is about:

  1. Responses to assessed risks
  2. Materiality
  3. Sampling
  4. Reports
Show the answer

A. The auditor's responses to assessed risks.

Question 10. An overall response to a weak control environment is to:

  1. Assign more experienced staff
  2. Reduce supervision
  3. Cut the sample
  4. Rely more on controls
Show the answer

A. An overall response.

Question 11 (10 marks). Define the components of audit risk and explain how they relate to each other. (8 marks)

Question 12 (10 marks). The auditor sets audit risk at 8%, assesses inherent risk at 40% and control risk at 100%. Compute detection risk and explain what happens if control risk is reduced to 50% after tests of controls. (6 marks)

Question 13 (10 marks). List the overall responses and the assertion-level responses to assessed risks under ISA 330. (6 marks)

Model answers

Show the model answer to Question 11

Inherent: susceptibility to material misstatement before controls, from the nature of the item or industry; cannot be controlled. (2) Control: risk that controls do not prevent or detect an error. (2) Detection: risk that audit procedures miss a misstatement; can be managed by testing. (2) AR = IR × CR × DR, so for a given AR, higher IR and CR mean lower DR and more testing. (2)

Show the model answer to Question 12

DR = 0.08 ÷ (0.40 × 1.00) = 0.20 = 20%. (3) If CR falls to 50%: DR = 0.08 ÷ (0.40 × 0.50) = 0.40 = 40%, so detection risk can be higher and less substantive testing is needed. (3)

Show the model answer to Question 13

Overall: professional scepticism; more experienced staff or more supervision; experts; change in nature, timing and extent of procedures. (3) Assertion level: tests of controls and substantive procedures. (3)

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All Audit, Assurance and Forensics topics

You are reading topic 21 of 67.

  1. Meaning and objectives of audit, the need for audit and types of audit01
  2. Assurance engagements, levels of assurance and sustainability assurance02
  3. Statutory audit and the legal framework: CAMA 2020 and the FRC Act03
  4. International standards on auditing, assurance engagements and Nigerian standards04
  5. Obtaining and accepting a new audit engagement05
  6. Engagement letters: agreeing the terms of an audit engagement (ISA 210)06
  7. Fundamental ethical principles and the conceptual framework07
  8. Independence, objectivity and integrity of the auditor08
  9. Confidentiality in audit and assurance engagements09
  10. Conflicts of interest and resolving ethical conflicts10
  11. Non-compliance with laws and regulations (NOCLAR) and whistleblowing11
  12. Public interest and professional scepticism in audit and assurance12
  13. Rules-based and principles-based ethics, and ethics in governance13
  14. Internal audit: concept, role and its place in internal control14
  15. Internal audit compared with external audit15
  16. Operational and other internal audit assignments16
  17. Internal audit reports, regulation, ethics and outsourcing17
  18. Planning an audit (ISA 300)18
  19. Understanding the entity, its environment and its laws (ISA 315 and ISA 250)19
  20. Materiality in planning and performing an audit (ISA 320)20
  21. Audit risk and the auditor\u2019s response to assessed risks (ISA 330)21 here
  22. Fraud and the auditor (ISA 240)22
  23. Audit of not-for-profit organisations23
  24. Public sector audit24
  25. Audit evidence (ISA 500)25
  26. Audit documentation and working papers (ISA 230)26
  27. Audit sampling (ISA 530)27
  28. Importance, objectives and types of internal control28
  29. Control environment, the risk assessment process and monitoring of controls29
  30. Control activities and IT controls30
  31. Limitations of internal control and recording control systems31
  32. Evaluating controls and assessing audit risk32
  33. Risks of specialised IT systems and information security measures33
  34. Tests of controls and the main transaction cycles34
  35. The sales system: controls and tests of controls35
  36. The purchases and expenses system: controls and tests of controls36
  37. The payroll system: controls and tests of controls37
  38. The bank and cash system: controls and tests of controls38
  39. The inventory and non-current asset systems: controls and tests of controls39
  40. Management letters and reporting control deficiencies40
  41. Substantive procedures: role and approach41
  42. Analytical procedures (ISA 520)42
  43. Audit of tangible non-current assets43
  44. Audit of intangible non-current assets44
  45. Inventory: valuation and the physical count (ISA 501)45
  46. Trade receivables, prepayments and external confirmations (ISA 505)46
  47. Substantive procedures on bank and cash balances47
  48. Trade payables, accruals, provisions and contingencies48
  49. Non-current liabilities, equity and directors\u2019 emoluments49
  50. Key income statement figures50
  51. Written representations (ISA 580)51
  52. Evaluating misstatements (ISA 450) and the overall review of the financial statements52
  53. Purpose of the auditor\u2019s report and the audit expectation gap53
  54. The unmodified auditor\u2019s report (ISA 700)54
  55. Key audit matters (ISA 701) and reports prescribed by law55
  56. Audit reporting under CAMA 2020 and the audit committee56
  57. Going concern (ISA 570)57
  58. Modified opinions, emphasis of matter and other matter paragraphs58
  59. Information systems audit: risks, protection and the audit process59
  60. Vulnerability audit, data centre audit, banking transactions and IT audit reports60
  61. Data analytics, artificial intelligence, blockchain and other audit technology61
  62. Nature, objectives and types of forensic accounting services62
  63. Economic damage through contract and tort63
  64. Computer forensics, fraud investigation and litigation support64
  65. Hidden assets: how forensic accountants find them65
  66. Professional negligence in forensic investigations66
  67. The expert report and reporting in forensic engagements67
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