MUS Tainting Factor Projected Misstatement

Calculate a monetary-unit-sampling tainting factor and project a sampled item's misstatement over the sampling interval. Individually significant items use their actual misstatement instead of interval projection.

Description

Monetary-unit-sampling tainting expresses a sampled item's signed difference as a fraction of book value.

Monetary-unit-sampling tainting expresses a sampled item's signed difference as a fraction of book value. Significant items use actual rather than interval-projected difference.1

The returned values include Item misstatement, Projected misstatement, Projection method, Tainting factor. The How section below explains the calculation, input rules and interpretation.

When to use MUS Tainting Factor Projected Misstatement

Use MUS Tainting Factor Projected Misstatement when you need to evaluate the supplied records under the calculation and evidence rules below. No total upper bound, confidence factor or complete MUS evaluation is performed. Understatements yield negative factor/projection.

Prepare source-backed observations and the applicable engagement policy before entering facts. Use consistent monetary units and periods. Supply all boolean evidence flags explicitly, and treat a successful screen as a reason to continue professional review.

How to use MUS Tainting Factor Projected Misstatement and understand its results

  1. Prepare source-backed observations and the applicable engagement policy before entering facts. Use consistent monetary units and periods. Supply all boolean evidence flags explicitly, and treat a successful screen as a reason to continue professional review.
  2. Enter auditedValue, bookValue, individuallySignificant, samplingInterval using the field table and calculation rules, then run the tool.
  3. Read misstatement, projectedMisstatement, projectionMethod, taintingFactor. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
auditedValueAudited valuenumber; minimum: 0Required
bookValueBook valuenumber; minimum: 0Required
individuallySignificantIndividually significant itembooleanRequired
samplingIntervalSampling intervalnumber; minimum: 0Required

Require finite nonnegative audited value and strictly positive finite book/interval plus a boolean. Return signed difference, factor and either actual difference when significant or factor×interval otherwise. Require finite projection.

misstatement=book−audited; taint=misstatement/book

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
misstatementItem misstatementnumber
projectedMisstatementProjected misstatementnumber
projectionMethodProjection methodstring; one of "actual", "tainting_factor"
taintingFactorTainting factornumber
json
{
  "input": {
    "auditedValue": 95000,
    "bookValue": 100000,
    "individuallySignificant": false,
    "samplingInterval": 200000
  },
  "output": {
    "misstatement": 5000,
    "projectedMisstatement": 10000,
    "projectionMethod": "tainting_factor",
    "taintingFactor": 0.05
  }
}

Limitations and assumptions

No total upper bound, confidence factor or complete MUS evaluation is performed. Understatements yield negative factor/projection.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing fields without a declared default, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Ratio Projection Misstatement Calculator: Ratio projection scales a signed sample difference to the population. Positive differences describe recorded overstatement; negative differences describe understatement. For a complementary task, use Sample Evaluation Upper Misstatement Limit Computation: A projected sample misstatement and sampling-risk allowance can be combined with other known errors for an upper-limit comparison.

References

  1. MUS Tainting Factor Projected Misstatement — tool.io

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