Monetary Unit Sampling(MUS) & Probability Proportional to Size(PPS) | CPA Exam

In this video I explain monetary unit sampling and probability proportional to size.
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Apply monetary unit sampling.
Now that we have discussed nonstatistical sampling, we will move on to statistical sampling, starting with monetary unit sampling, which is a statistical sampling methodology developed specifically for use by auditors. Monetary unit sampling (MUS) is the most commonly used statistical method of sampling for tests of details of balances because it has the statistical simplicity of attributes sampling yet provides a statistical result expressed in dollars (or another appropriate currency). MUS is also called dollar unit sampling, cumulative monetary amount sampling, and sampling with probability proportional to size.
Differences Between MUS and Nonstatistical Sampling
MUS is similar to using nonstatistical sampling. All 14 of the steps must also be performed for MUS, although some are done differently. Understanding those differences is the key to understanding MUS. Let’s examine these differences in detail.
The Definition of the Sampling Unit Is an Individual Dollar
A critical feature of MUS is the definition of the sampling unit as an individual dollar in an account balance. The name of the statistical method, monetary unit sampling, results from this distinctive feature.
By focusing on the individual dollar as the sampling unit, MUS automatically emphasizes physical units with larger recorded balances. Because the sample is selected on the basis of individual dollars, an account with a large balance has a greater chance of being included than an account with a small balance.
Sample Selection Is Done Using PPS
Monetary unit samples are selected with probability proportional to size sample selection (PPS). PPS samples can be obtained by using computer software or systematic sampling techniques.
The Auditor Generalizes from the Sample to the Population Using MUS Techniques.
Regardless of the sampling method selected, the auditor must generalize from the sample to the population by (1) projecting misstatements from the sample results to the population and (2) determining the related sampling risk. The statistical result when MUS is used is called a misstatement bound. The misstatement bound is an estimate of the likely maximum overstatement at a given ARIA. The discussion and example that follow are limited to overstatements because MUS is designed primarily to test for overstatements. Calculation of misstatement bounds is usually done using audit software or computer templates.
Decide the Acceptability of the Population Using MUS
The auditor compares the calculated misstatement bound to tolerable misstatement. If the bound exceeds tolerable misstatement, the population is not considered acceptable. The options available to the auditor when the population is rejected are the same ones already discussed for nonstatistical sampling .
Now that we have discussed the differences between MUS and nonstatistical sampling for tests of details of balances, we examine the determination of sample sizes and calculation of misstatement bounds in further detail.
Determining Sample Sizes Using MUS
We illustrate the formula for computing sample sizes using MUS based on the AICPA Audit Sampling Audit Guide. We first discuss the factors used in computing sample size.
Acceptable Risk of Incorrect Acceptance
Recorded Population Value
The dollar value of the population is taken from the client’s records. For this example, it is $5 million.
Tolerable Misstatement
Tolerable misstatement is generally the same as performance materiality, but the auditor may decrease the amount of tolerable misstatement if less than 100 percent of the population is tested.
Estimated Population Misstatement
MUS is most often used when no or few misstatements are expected.
Ratio of Estimated Population Misstatement to Tolerable Misstatement.
confidence Factor
Generalizing from the Sample to the Population When No Misstatements Are Found Using MUS.
Calculate Percentage Misstatement Assumption (Tainting).
Project Sample Misstatements.
Calculate the Allowance for Sampling Risk
The projected misstatement is increased by the allowance for sampling risk, which is calculated as basic precision plus an incremental allowance for sampling risk for each misstatement found in sampling units that are smaller than the sampling interval. There is no incremental allowance for sampling risk in sampling units that are greater than the sampling interval since all of the monetary units in the sampling interval were examined.

[@robinberrie]

I am half way through of the video and I cannot thank you enough for explaining everything so detailed that OMG im crying :')

[@AccountingLectures]

You are most welcome. Please share with others. Are you studying for the cpa exam?

[@robinberrie]

@@AccountingLectures dear Doctor Farhat would you kindly help me if you have any examples of sampling method for PPE? If its not too much. Thank you so much.

[@robinberrie]

@@AccountingLectures for the CPA exam and also we have an audit report to write so working on both.

[@akmalansari602]

i was able to score 80% on Sampling Becker MCQs. its the highest i have ever scored in Sampling. Thank u.

[@jacobgaidimlungkahmei9979]

This video melts my heart! Thank you sir for your valuable contribution to sampling students and communities

[@AccountingLectures]

You are most welcome. Please subscribe and share. farhatlectures.pathwright.com/library/ Instagram Account: instagram.com/farhatlectures/ Linkedin: www.linkedin.com/in/professorfarhat/ Facebook: facebook.com/accountinglectures Twitter: twitter.com/farhatlectures Email: [e-mail]

[@souksamayphoutchanthavongs6414]

I am so thankful for all your videos! These have helped me a lot..

[@AccountingLectures]

You are most welcome. Please subscribe and share. If you want to access more resources, check my website: farhatlectures.com/ Connect with me: Instagram Account: instagram.com/farhatlectures/ Linkedin: www.linkedin.com/in/professorfarhat/ Facebook: facebook.com/accountinglectures Twitter: twitter.com/farhatlectures Email: [e-mail]

[@thanhhangnguyen9324]

I have a question, what are pros and cons of using MUS with systematic selection and with random table ? thanks for your lecturing video !

[@r.m.1016]

Quick question at 5:11; should the number of accounts have been 6 rather than 7? Conceptually the same but just curious if the total would have been included in the number of accounts. Great video!

[@baoyen4934]

thank you ! It help me a lot !

[@AccountingLectures]

HI Chen, you are most welcome.Please subscribe and share the website on your social mediaConnect with me on LinkedIn: www.linkedin.com/in/professorfarhat/Facebook: facebook.com/accountinglectures/ Website: www.farhatlectures.com

[@antonmursid3505]

Anton🙏🙏🙏🙏

[@ucagetit]

PPS is A LOT.