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.

Check our similar posts

Six Sigma

Six Sigma has received much attention worldwide as a management strategy that is said to have brought about huge improvements and financial gains for such big-name companies as Allied Signal, General Electric (GE) and Motorola.

If you want to give your business the chance to attain the same resounding success, Six Sigma could be the method that will steer you towards that direction.

What is Six Sigma?

So what really is it? Six Sigma is a business management tool that was developed using the most effective quality improvement techniques from the last six decades. Basing its approach on discipline, verifiable data, and statistical calculations, Six Sigma aims to identify the causes of defects and eliminate them, thereby resulting in near-perfect products that meet or exceed customer’s satisfaction.

The core concept behind the Six Sigma method is that if an organisation can quantify the number of “defects” there are in a particular process, improvement activities can be implemented to eliminate them, and get as close to a “zero defects” scenario as possible. Defect here is defined as any process output that fails to meet customer specifications.

Six Sigma is also unique from other programs in that it calls for the creation of a special infrastructure of people within the organisation (“Champions“, “Black Belts“, “Green Belts“) who are to be expert in the methods.

Six Sigma Methodologies

When implementing Six Sigma projects, two methodologies are often employed. Although each method uses five phases each, these two are distinguished from each other using 5-letter acronyms and their specific uses.

DMAIC ? is the project methodology used to improve processes and maximise productivity of current business practices. The 5 letters stand for:

  • D ? Define (the problem)
  • M ? Measure (the main factors of the existing process)
  • A ??Analyse?(the information gathered to deter mine the causes of defects)
  • I ? Improve (the current process based on the analysis)
  • C ? Control (all succeeding processes so as to minimise additional defects)

DMADV – is the method most suitable if your business is looking to create new products or designs. The acronym stands for:

  • D ? Define (product goals as the consumer market demands)
  • M ? Measure (and identify product capabilities and risks)
  • A ??Analyse?(to create the best possible design)
  • D ? Design (the product or process details)
  • V ? Verify (the design)

How does Six Sigma differ from other quality programs?

If you think that Six Sigma is just another one of those business strategies that produce more hype than actual results, think again. Six Sigma uses three key concepts that sets it apart from other business management methods.

  • It is strictly a data-driven approach, where assumptions and guesswork do not figure in the decision making.
  • It focuses on achieving quantifiable financial results ? the bottom line ($) ? as much as giving emphasis on customer satisfaction.
  • It requires strong management leadership, while at the same time creating a role for every individual in the organisation.

Is Six Sigma right for your business?

While many other organisations such as Sony, Nokia, American Express, Xerox, Boeing, Kodak, Sun Micro-systems and many other blue chip companies have followed suit in adopting Six Sigma, the truth is, any company — whether you have a large manufacturing corporation, or a small business specialising in customer service.

Certainly, there is a lot more to Six Sigma than what you can probably absorb in one sitting or reading.

With our wide range of business management consultancy services, we can help you understand the Six Sigma method in the context of your business. We can also help you establish your improvement goals, set up your program, and train your own team of “champions” who can lead in implementing your Six Sigma goals.

Find out more about our Quality Assurance services in the following pages:

Spreadsheet Risks in Banks

No other industry perhaps handles such large volumes of critical financial data more than the banking industry. For decades now, spreadsheets have become permanent fixtures in the front-line reporting tool sets of banks, providing organised information when and where needed.

But as banks enter into a period of heightened credit risks, elevated levels of fraud, and greater regulatory scrutiny, many are wondering if continued reliance on spreadsheets is a wise decision for banks today.

The downfall of Lehman Brothers which eventually led to its filing for Chapter 11 bankruptcy protection on September 15, 2008, served as a wake up call for many institutions across the globe to make a serious examination of their own risk management practices. But would these reforms include evaluating the security of user developed applications (UDAs), the most common of which are spreadsheets, and putting specific guidelines as to when they can – or cannot be – used?

Banks and Spreadsheet Use

Banks have been known to utilise spreadsheets systems for many critical functions because most personnel are well-acquainted with them, and the freedom of being able to develop customised reports without needing to consult with the IT department offers flexibility and convenience. In fact, more than having a way to do financial budgeting and analysing customer profitability, even loan officers and trade managers have become reliant on spreadsheets for risk management reporting and for making underwriting decisions.

But there are more than a few drawbacks to using spreadsheets for these tasks, and the sooner bank executives realise these, the sooner they can adopt better solutions.

General Limitations

Spreadsheets are far from being data base systems and yet more often than not, they are expected to act as such, with figures constantly added and formulas edited to produce the presumably right set of reports.

In addition, data integrity is always a cause for concern as most values in spreadsheets are entered as manual inputs. Even the mere misplacement of a comma or a negative sign, or an inadvertent ?edit? to a formula can also be a source of significant changes in the outcome.

Confidentiality risk is also another drawback of the use of spreadsheets in banks as these tools do not have adequate?access controls to limit access to only authorised individuals. Pertinent financial information that fall into the wrong hands can lead to a whole new set of problems including the possibility of fraud.

Risks in Trading

For trading transactions, spreadsheets can prove to be of immense use – but only for small market volumes. As trade volumes increase and the types vary, spreadsheets are no longer a viable solution and may likely become more of a hindrance, with calculations taking longer in the face of bigger transaction amounts and growing transaction data.

And in trading, there is always the need for rigorous computational functions. Computing for the Value at Risk (VaR) for large portfolios for instance, is simply way beyond the capabilities of spreadsheets. Banks that persist in using them are increasing the risk of loss on those portfolios. Or, they can be opening up?opportunities for fraud?as Allied Irish Bank (in the case of John Rusnak – $690 million) learned the hard way.

Risks in Underwriting

Bankers who use spreadsheets as their main source of information for underwriting procedures also face certain limitations. Loan transactions require that borrowers? financial data be centralised and easily accessible to risk officers and lending officers involved in making decisions. With spreadsheets, there is no simple and secure way of doing that. Information can be pulled from different sources – individual tax returns, corporate tax documents, partnership documents, audited financial statements – hence there is difficulty in verifying that these reports adhere to underwriting policies.

Spreadsheet control and monitoring

Financial institutions which are having difficulty weaning themselves from the convenience and simplicity that spreadsheets offer are looking for possible control solutions. Essentially, they want to find ways that allow them to continue using these UDAs and yet somehow eliminate the?spreadsheet risks?and limitations involved.

Still, the debate goes back and forth on whether adequate control measures can be implemented on spreadsheets so that that the risks are mitigated. Many services have come forward to herald innovative solutions for better spreadsheet management. But at the end of the day, there really is no guarantee that such solutions would suffice.

More Spreadsheet Blogs


Spreadsheet Risks in Banks


Top 10 Disadvantages of Spreadsheets


Disadvantages of Spreadsheets – obstacles to compliance in the Healthcare Industry


How Internal Auditors can win the War against Spreadsheet Fraud


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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Knowing the Caveats in Cloud Computing

Cloud computing has become such a buzzword in business circles today that many organisations both small and large, are quick to jump on the cloud bandwagon – sometimes a little too hastily.

Yes, the benefits of the cloud are numerous: reduced infrastructure costs, improved performance, faster time-to-market, capability to develop more applications, lower IT staff expenses; you get the picture. But contrary to what many may be expecting or have been led to believe, cloud computing is not without its share of drawbacks, especially for smaller organisations who have limited knowledge to go on with.

So before businesses move to the cloud, it pays to learn a little more about the caveats that could meet them along the way. Here are some tips to getting started with cloud computing as a small business consumer.

Know your cloud. As with anything else, knowledge is always key. Because it is a relatively new tool in IT, it’s not surprising that there is some confusion about the term cloud computing among many business owners and even CIOs. According to the document The NIST Definition of Cloud Computing, cloud computing has five essential characteristics, three basic service models (Saas, Paas and Iaas), and four deployment models (public, community, private and hybrid).

The first thing organisations should do is make a review of their operations and evaluate if they really need a cloud service. If they would indeed benefit from cloud computing, the next steps would be deciding on the service model that would best fit the organisation and choosing the right cloud service provider. These factors are particularly important when you consider data security and compliance issues.

Read the fine print. Before entering into a contract with a cloud provider, businesses should first ensure that the responsibilities for both parties are well-defined, and if the cloud vendor has the vital mechanisms in place for contingency measures. For instance, how does the provider intend to carry out backup and data retrieval operations? Is there assurance that the business’ critical data and systems will be accessible at all times? And if not, how soon can the data be available in case of a temporary shutdown of the cloud?

Also, what if either the company or the cloud provider stops operations or goes bankrupt? It should be clear from the get go that the data remains the sole property of the consumer or company subscribing to the cloud.

As you can see, there are various concerns that need to be addressed closely before any agreement is finalised. While these details are usually found in the Service Level Agreements (SLAs) of most outsourcing and servicing contracts, unfortunately, the same cannot be said of cloud contracts.

Be aware of possible unforeseen costs. The ability of smaller companies to avail of computing resources on a scalable, pay-as-you-go model is one of the biggest selling points of cloud computing. But there’s also an inherent risk here: the possibility of runaway costs. Rather than allowing significant cost savings, small businesses could end up with a bill that’s bound to blow a big hole in their budget.

Take for example the case of a software company cited on InformationWeek.com to illustrate this point. The 250-server cluster the company rented from a cloud provider was inadvertently left turned on by the testing team over the weekend. As a result, their usual $2,300 bill ballooned to a whopping $23,400 over the course of one weekend.

Of course, in all likelihood, this isn’t going to happen to every small and midsize enterprise that shifts to the cloud. However, this should alert business owners, finance executives, and CEOs to look beyond the perceived savings and identify potential sources of unexpected costs. What may start as a fixed rate scheme for on-demand computing resources, may end up becoming a complex pricing puzzle as the needs of the business grow, or simply because of human error as the example above shows.

The caveats we’ve listed here are among the most crucial ones that soon-to-be cloud adopters need to keep in mind. But should these be reasons enough for businesses to stop pursuing a cloud strategy? Most definitely not. Armed with the right information, cloud computing is still the fastest and most effective way for many small enterprises to get the business off the ground with the lowest start-up costs.

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