Question: Explain why there is an inverse relationship between planned detection risk and the amount of evidence an auditor collects for a specific audit objective. Question

Explain why there is an inverse relationship between planned detection risk and the amount of evidence an auditor collects for a specific audit objective.
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Part 1
A.
Planned detection risk is a measure of the auditor's assessment of the risk that a material misstatement could occur in an assertion and not be prevented or detected on a timely basis by the client's internal controls. In order to reduce this risk, the auditor would increase the amount of performance materiality and collection of evidence for specific audit objective. For example, if the auditor wanted a low level of risk that audit procedures designed to test the existence of inventory fail to detect a material misstatement, they would increase the amount of inventory tested and/or the number of audit procedures performed.
B.
Planned detection risk is the risk that the auditor or audit firm will suffer harm because of a client relationship, even though the audit report rendered for the client was correct. In order to reduce this risk, the auditor would increase the amount of evidence they collect for a specific audit objective. For example, if the auditor wanted a low level of risk that audit procedures designed to test the existence of inventory fail to detect a material misstatement, they would increase the amount of inventory tested and/or the number of audit procedures performed.
C.
Planned detection risk is a measure of the auditor's assessment of the susceptibility of an assertion to material misstatement before considering the effectiveness of internal control. In order to reduce this risk, the auditor would increase the amount of performance materiality and collection of evidence for specific audit objective. For example, if the auditor wanted a low level of risk that audit procedures designed to test the existence of inventory fail to detect a material misstatement, they would increase the amount of inventory tested and/or the number of audit procedures performed.
D.
Planned detection risk is the risk that audit evidence for a segment will fail to detect misstatements that could be material, should such misstatements exist. In order to reduce this risk, the auditor would increase the amount of evidence they collect for a specific audit objective. For example, if the auditor wanted a low level of risk that audit procedures designed to test the existence of inventory fail to detect a material misstatement, they would increase the amount of inventory tested and/or the number of audit procedures performed.

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