MUS(Monetary-Unit Sampling) 공식과 그 한계

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What is MUS?

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Monetary-unit sampling(MUS)= also known as Probability-proportional-to-size sampling

 

-MUS is one technique whereby the auditor can measure and control the risks associated with observing less than 100% of the population.

 

-The auditor can quantify and measure the risk of accepting a client’s recorded amount as fair when it is materially misstated.

 

-The auditor controls the risk of incorrect acceptance by specifying that risk level for the sampling plan.

 

 

 

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여러 버전의 MUS 공식

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■ 공식 1

: n equals sample size,

BV is the recorded amount of the account,

CF is the appropriate confidence factor, and

TM is tolerable misstatement.

 

 

 

■ MUS Sampling table 예시 1:

 

 

-The sample size using this formula is 30 [($240,000 × 3.00) ÷ $24,000].

 

-A more sophisticated version of this formula subtracts the product of the dollar amount of anticipated misstatement and an expansion factor from TM. In this case, however, the effect of the expected misstatement has already been subtracted from TM. 

 

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■ 공식 2:

 

n(sample size)= RM(Population of accounts receivable) ÷ SI

 

SI=samplilng interval

SI= TM(Tolerable Misstatement) ÷ RF(Reliablility Factor)

 

 

 

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■ 공식 3:

 

n= sampling size

RM= Recorded or Carrying amount of the account

RF= the appropriate reliablity factor

 

AM=Anticipated Misstatement

EF= Expansion Factor

 

 

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■ 공식 4:

 

n= the sample size

C(confidence coefficient) = 1 - the risk of incorrect rejection

S= standard deviation of the population = expected population of deviation rate

N=number of items in the population

A=Allowance for sampling risk = allowable risk of over reliance

 

 

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■ 공식5:

Projected misstatement = Sampling Interval ×(Recorded amount - Audited amount) ÷ Recorded Amount

 

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MUS의 한계

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■ MUS sampling is most useful if few misstatements are expected.

 

■ When an auditor uses MUS sampling, items with zero or negative balances have no chance of selection.