The Better Way of Applying Benford’s Law for Fraud Detection

Applying Benford’s Law on large collections of data is an effective way of detecting fraud. In this article, we?ll introduce you to Benford’s Law, talk about how auditors are employing it in fraud detection, and introduce you to a more effective way of integrating it into an IT solution.

Benford’s Law in a nutshell

Benford’s Law states that certain data sets – including certain accounting numbers – exhibit a non-uniform distribution of first digits. Simply put, if you gather all the first digits (e.g. 8 is the first digit of ?814 and 1 is the first digit of ?1768) of all the numbers that make up one of these data sets, the smallest digits will appear more frequently than the larger ones.

That is, according to Benford’s Law,

1 should comprise roughly 30.1% of all first digits;
2 should be 17.6%;
3 should be 12.5%;
4 should be 9.7%, and so on.

Notice that the 1s (ones) occur far more frequently than the rest. Those who are not familiar with Benford’s Law tend to assume that all digits should be distributed uniformly. So when fraudulent individuals tinker with accounting data, they may end up putting in more 9s or 8s than there actually should be.

Once an accounting data set is found to show a large deviation from this distribution, then auditors move in to make a closer inspection.

Benford’s Law spreadsheets and templates

Because Benford’s Law has been proven to be effective in discovering unnaturally-behaving data sets (such as those manipulated by fraudsters), many auditors have created simple software solutions that apply this law. Most of these solutions, owing to the fact that a large majority of accounting departments use spreadsheets, come in the form of spreadsheet templates.

You can easily find free downloadable spreadsheet templates that apply Benford’s Law as well as simple How-To articles that can help you to implement the law on your own existing spreadsheets. Just Google “Benford’s law template” or “Benford’s law spreadsheet”.

I suggest you try out some of them yourself to get a feel on how they work.

The problem with Benford’s Law when used on spreadsheets

There’s actually another reason why I wanted you to try those spreadsheet templates and How-To’s yourself. I wanted you to see how susceptible these solutions are to trivial errors. Whenever you work on these spreadsheet templates – or your own spreadsheets for that matter – when implementing Benford’s Law, you can commit mistakes when copy-pasting values, specifying ranges, entering formulas, and so on.

Furthermore, some of the data might be located in different spreadsheets, which can likewise by found in different departments and have to be emailed for consolidation. The departments who own this data will have to extract the needed data from their own spreadsheets, transfer them to another spreadsheet, and send them to the person in-charge of consolidation.

These activities can introduce errors as well. That’s why we think that, while Benford’s Law can be an effective tool for detecting fraud, spreadsheet-based working environments can taint the entire fraud detection process.

There?s actually a better IT solution where you can use Benford’s Law.

Why a server-based solution works better

In order to apply Benford’s Law more effectively, you need to use it in an environment that implements better controls than what spreadsheets can offer. What we propose is a server-based system.

In a server-based system, your data is placed in a secure database. People who want to input data or access existing data will have to go through access controls such as login procedures. These systems also have features that log access history so that you can trace who accessed which and when.

If Benford’s Law is integrated into such a system, there would be no need for any error-prone copy-pasting activities because all the data is stored in one place. Thus, fraud detection initiatives can be much faster and more reliable.

You can get more information on this site regarding the disadvantages of spreadsheets. We can also tell you more about the advantages of server application solutions.

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How Energy Conservation saved Fambeau River Paper

Rising energy costs caught this Wisconsin paper mill napping, and it soon shut down because it was unable to innovate. Someone else bought it and turned it around by measuring, modifying, monitoring and listening to people.

The Fambeau River Paper Mill in Prince County, Wisconsin USA employed 13% of the city?s residents until rising energy costs shut it down in 2006. Critics wrote it off as an energy dinosaur unable to adapt. But that was before another company bought it out and resuscitated it as a fleet-footed winner.

Its collapse was a long time coming and almost inevitable. Wisconsin electricity prices had grown a third since 1997, the machinery was antiquated and the dependence on fossil power absolute. So what did the new owners change, and is there anything we can learn from this?

The key to understanding what suddenly went right was the new owners? ability to listen. They requested a government Energy Assessment that suggested a number of small step changes that took them where they needed to go in terms of energy saving. These included enhancements in steam systems and fuel switch modifications. However they needed more than that.

The second game changer was tracking down key members of the old workforce and listening to them too. This combination enabled them to finally hire back 92% of the original labour force under the same terms and conditions – and still make a profit (the other 8% had moved on elsewhere or retired). The combined energy savings produced a payback plan of 5.25 years. Three years into the project their capital investment of $15 million had already clawed back the following electricity savings.

  • Evaporator Temperature Control $2,245,000
  • Hot Water Heat Recovery $2,105,000
  • Paper Machine Devronisers $1,400,000
  • Increased Boiler Output $1,134,000
  • Paper Machine Modifications; $761,000
  • Motive Air Dryer $610,000
  • Accumulator Savings $448,000
  • Densified Fuels Plant $356,000

In terms of carbon dioxide produced, the Fambeau River Paper Mill?s contribution dropped from 1 ton to 600 pounds.

How well do you know where your company?s energy spend is concentrated, and how this compares with your industry average; could you be doing better if you innovated, and by how much? Get these questions answered by asking ecoVaro how easy it could be to get on top of your carbon metrics. This could cost you a phone call and a payback on it so rapid it’s not worth stopping to calculate.

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Which KPI?s to Use in CRM

Customer relationship management emerged in the 1980?s in the form of database marketing. In those tranquil pre-social media days, the possibility of ?managing? clients may have been a possibility although Twitter and Facebook took care of that. Modern managers face a more dynamic environment. If you are one, then what are the trends you should be monitoring yourself (as opposed to leaving it to others).

If you want to drip feed plants, you have to keep the flow of liquid regular. The same applies to drip-feed marketing. Customers are fickle dare we say forgetful. Denizon recommends you monitor each department in terms of Relationship Freshness. When were the people on your list last contacted, and what ensued from this?

Next up comes the Quality of Engagements that follow from these efforts. How often do your leads respond at all, and how many interfaces does it take to coax them into a decision? You need to relate this to response blocks and unsubscribes. After a while you will recognise the tipping point where it is pointless to continue.

Response Times relate closely to this. If your marketing people are hot then they should get a fast response to sales calls, email shots and live chats. It is essential to get back to the lead again as soon as possible. You are not the only company your customers are speaking too. Fortune belongs to the fast and fearless.

The purpose of marketing is to achieve Conversions, not generate data for the sake of it. You are paying for these interactions and should be getting more than page views. You need to drill down by department on this one too. If one team is outperforming another consider investing in interactive training.

Finally Funnel Drop-Off Rate. Funnel analysis identifies the points at which fish fall off the hook and seeks to understand why this is happening. If people click your links, make enquiries and then drift away, you have a different set of issues as opposed to if they do not respond at all.

You should be able to pull most of this information off your CRM system if it is half-decent, although you may need to trigger a few options and re orientate reporting by your people in the field. When you have your big data lined up speak to us. We have a range of data analysts brimming over with fresh ideas.

Disadvantages of Spreadsheets

Spreadsheets are flexible, inexpensive and easy to use. They are especially handy when it comes to beating report submission deadlines or making impromptu data computations. That’s why office workers, managers and even executives have made spreadsheets their go-to solution for such undertakings and more.

Spreadsheets have become so ubiquitous, that they’ve found their way into a wide range of applications including complex modelling, accounting reconciliations, market data analysis, work flow tracking and monitoring, analytical review and financial reporting.

Unfortunately, organisations heavy reliance on spreadsheets have made these User Developed Applications (UDA) into high-risk office tools. Simple spreadsheet errors like leaving out a negative sign or a cut-and-paste mistake have already caused million-dollar discrepancies. Also, when a fraudulent employee enters into the picture, the risks become unimaginable.

Think TransAlta?s spreadsheet cut-and-paste glitch (the company later called this a ?simple clerical error?) which caused the energy firm a whopping $24 million loss or Fidelity?s overstatement of its earnings owing to the omission of the minus sign on the spreadsheet of a $1.3 billion net capital loss.

In both cases and in many other similar spreadsheet fiasco, the errors played a major role in the organisation’s decision-making, leading to disastrous results including, but not limited to financial loss, shattered investor confidence and public embarrassment.

If these are scenarios your organisation can ill afford, then it’s time to ask yourself: Do the disadvantages of spreadsheets far outweigh their benefits to merit a call for total liberation from them?

More Spreadsheet Blogs


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Disadvantages of Spreadsheets – obstacles to compliance in the Healthcare Industry


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Spreadsheet Reporting – No Room in your company in an age of Business Intelligence


Still looking for a Way to Consolidate Excel Spreadsheets?


Disadvantages of Spreadsheets


Spreadsheet woes – ill equipped for an Agile Business Environment


Spreadsheet Fraud


Spreadsheet Woes – Limited features for easy adoption of a control framework


Spreadsheet woes – Burden in SOX Compliance and other Regulations


Spreadsheet Risk Issues


Server Application Solutions – Don’t let Spreadsheets hold your Business back


Why Spreadsheets can send the pillars of Solvency II crashing down

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