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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Will UK Retailers Skim the Cream with ESOS?

The British Retail Consortium (BRC) was quick out on the starting blocks with an ambitious plan to cut energy costs by 25% in 5 years. Their ?25-in-5? initiative is chasing a target of ?4.4 billion savings during the duration. Part of this program involves ?cutting a path through a complex and inaccessible policy landscape?. BRC believes this drawback is making its members think twice about making energy efficiency investments.

The UK?s sprawling network of grocers, department stores and malls is the nation?s second most hungry energy customer, having spent ?3.3 billion on it in 2013 when it accounted for almost 20% of carbon released. If you think that sounds bad, it purchased double that amount in 2005. However the consortium believes there is still more to come.

It bases this assumption on the push effect of UK energy rates increasing by a quarter during the duration of the project. ?So it makes sense to be investing in energy efficiency rather than paying bills,? Andrew Bolitho (property, energy, and transport policy adviser) told Business Green. The numbers mentioned exclude third party transport and distribution networks not under the British Retail Consortium umbrella.

The ?complex and inaccessible policy landscape? is the reflection of UK legislators not tidying up as they go along. BRC cites a ?vast number of policies ? spreading confusion, undermining investment and making it harder to raise capital?. The prime culprits are Britain?s CRC Energy Efficient Scheme (previously Carbon Reduction Commitment) which publishes league tables and ESOS. Andrew Bolitho believes this duality is driving confused investors away.

The British Retail Consortium is at pains to point out that this is not about watering things down, but making it simpler for participating companies to report on energy matters at a single point. It will soon go live with its own information hub providing information for retailers wishing to measure consumption at critical points, assemble the bigger picture and implement best practice.

Ecovaro agrees with Andrew Bolitho that lowering energy demand and cutting carbon is not just about technology. We can do much in terms of changing attitudes and providing refresher training and this does not have to cost that much. Studies have shown repeatedly that there is huge benefit in inviting employees to cross over to our side. In fact, they may already be on board to an extent that may surprise.

Saving Energy Step 5 – Bringing it together

We hope you have been enjoying our series of short posts regarding saving energy, so what we use we can sustain. We have tried to make a dry subject interesting. After you read this post please comment, and tell us how it went. We are in the environment together. As the man who wrote ?No Man is an Island? said, ?if a clod be washed away somewhere by the sea, Europe is the less? and Europe was his entire world.

The 4 Steps we wrote about previously have a multiplier effect when we harness them together

  1. Having a management system diffuses office politics and pins accountability in a way that not even a worm could wriggle
  2. This defines the boundaries for senior managers and empowers them to implement practical improvements with confidence
  3. The results feed back into lower energy bills: this convinces the organisation that more is possible
  4. This dream filters through all levels of the organisation, as a natural team forms to make work and home a better place.

None of this would be possible without measuring energy consumption throughout the process, converting this into meaningful analytics, and playing ?what-if? scenarios against each other to determine where to start.

The 5th Step to Energy Saving that brings the other four together can double the individual benefits as innovative power flows between them. The monetary savings are impressive and provide capital to go even further. Why not allow us to help you manage what we measure together.

ecoVaro turns your numbers into meaningful analytics, makes suggestions, and stays with you so we can quantify your savings as you make them. We should talk about this soon.

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Energy Cooperation Mechanisms in the EU

While the original mission of the European Union was to bring countries together to prevent future wars, this has spun out into a variety of other cooperative mechanisms its founders may never have dreamed of. Take energy for example, where the European Energy Directive puts energy cooperation mechanisms in place to help member states achieve the collective goal.

This inter-connectivity is essential because countries have different opportunities. For example, some may easily meet their renewable targets with an abundance of suitable rivers, while others may have a more regular supply of sunshine. To capitalise on these opportunities the EU created an internal energy market to make it easier for countries to work together and achieve their goals in cost-effective ways. The three major mechanisms are

  • Joint Projects
  • Statistical Transfers
  • Joint Support Schemes

Joint Projects

The simplest form is where two member states co-fund a power generation, heating or cooling scheme and share the benefits. This could be anything from a hydro project on their common border to co-developing bio-fuel technology. They do not necessarily share the benefits, but they do share the renewable energy credits that flow from it.

An EU country may also enter into a joint project with a non-EU nation, and claim a portion of the credit, provided the project generates electricity and this physically flows into the union.

Statistical Transfers

A statistical transfer occurs when one member state has an abundance of renewable energy opportunities such that it can readily meet its targets, and has surplus credits it wishes to exchange for cash. It ?sells? these through the EU accounting system to a country willing to pay for the assistance.

This aspect of the cooperative mechanism provides an incentive for member states to exceed their targets. It also controls costs, because the receiver has the opportunity to avoid more expensive capital outlays.

Joint Support Schemes

In the case of joint support schemes, two or more member countries combine efforts to encourage renewable energy / heating / cooling systems in their respective territories. This concept is not yet fully explored. It might for example include common feed-in tariffs / premiums or common certificate trading and quota systems.

Conclusion

A common thread runs through these three cooperative mechanisms and there are close interlinks. The question in ecoVaro?s mind is the extent to which the system will evolve from statistical support systems, towards full open engagement.

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