Auditing & Assurance Services: A Systematic Approach (Irwin Accounting)
Auditing & Assurance Services: A Systematic Approach (Irwin Accounting)
10th Edition
ISBN: 9780077732509
Author: William F Messier Jr, Steven M. Glover Associate Professor, Douglas F. Prawitt Associate Professor
Publisher: McGraw-Hill Education
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Chapter 9, Problem 9.23P

a

To determine

Introduction:

Monetary Unit Sampling (MUS): It is a method used to gauge the amount of misstatement in financials. MUS helps auditors to overcome difficulties in other sampling systems. MUS is normally used for testing accounts related to monetary assets.

The sample size and sampling interval for the given information.

a

Expert Solution
Check Mark

Answer to Problem 9.23P

Sample size = 156

Explanation of Solution

Tolerable misstatement :$360,000

Expected misstatement :$90,000

Desired confidence level :95%

Recorded amount of accounts receivable: $9,000,000

Computation of Sample size:

  Tolerablemisstatementpercent=TolerablemisstatementRecordedAccountsreceivable=$360,000$9,000,000=0.04

  Expectedmisstatementpercent=ExpectedmisstatementRecordedAccountsreceivable=$90,000$9,000,000=0.01

When tolerable misstatement is 4% and the expected misstatement is 1% sample size can be determined using table 8-5 as 156.

Computation of sampling interval:

b

To determine

Introduction:

Monetary Unit Sampling (MUS): It is a method used to gauge the amount of misstatement in financials. MUS helps auditors to overcome difficulties in other sampling systems. MUS is normally used for testing accounts related to monetary assets.

The Upper misstatement limit UML for the following misstatements.

b

Expert Solution
Check Mark

Answer to Problem 9.23P

UML for misstatement:

  1. $43,269
  2. $32,365
  3. $86,538
  4. $16,153

Explanation of Solution

To calculate UML first sampling interval is required

  Sampling interval=Accounts receivableSample Size=$9,000,000156=$57,692

Tolerable misstatement :$360,000

Expected misstatement :$90,000

Desired confidence level :95%

Recorded amount of accounts receivable : $9,000,000

Sample size :156

Sampling interval :$57,692

Computation of UML:

Computation of tainting factor:

    misstatementsBook valueAudit valueDifferenceTainting factorDifference ÷ book value
    1$10,000$7,500$2,5000.25
    29,0006,0003,0000.33
    360,000060,0001
    48006401600.2

Computation of Upper Misstatement limit:

    MisstatementTainting Factor1Sampling interval2Projected Misstatement3(1 × 2)95% Misstatement Factor. 4UML5(3 × 4)
    10.25$57,692$14,4233$43,269
    20.3357,69219,0381.732,365
    3157,69257,6921.586,538
    40.257,69211,5381.416,153
    Total$102,691$178,325

The conclusion of whether inventory account balance is materially misstated is made by comparing the tolerable misstatement to the UML. As UML is $178,325 and it is less than the tolerable misstatement of $360,000, it can be concluded that the account balance is not materially misstated.

c

To determine

Introduction:

Monetary Unit Sampling (MUS): It is a method used to gauge the amount of misstatement in financials. MUS helps auditors to overcome difficulties in other sampling systems. MUS is normally used for testing accounts related to monetary assets.

The net projected population misstatement.

c

Expert Solution
Check Mark

Answer to Problem 9.23P

Projected population misstatement is $6,750,000

Explanation of Solution

The projected population misstatement can be calculated by computing ratio of misstatements to total dollars sampled that is

  Ratio of misstatements = audited difference ÷ book value

    misstatementsBook valueAudit valueDifference
    1$10,000$7,500$2,500
    29,0006,0003,000
    360,000060,000
    4800640160
    56,0006,500-500
    6750800-50
    Total86,55065,110

  Ratio of misstatements = 65,110 ÷ 86,550=0.75

  Projected population misstatement=Ratio of misstatement× Account balance=0.75×$9,000,000=$6,750,000

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