Working In Uncertainty
Risk modeling alternatives for risk registers
First published 5 June 2003.
Introduction to the design problem
This page is for people who want to design a useful and efficient way to quantify risks on a risk register. Perhaps you already have a process that generates a risk register each period with some kind of risk ratings but you want a better way. Perhaps the existing method is illogical.
When designing a risk management or modeling approach it is easy to end up with something that is completely inappropriate. Risk management has developed separately in different disciplines for different uses. Often, the methods and concepts of risk used in one discipline are fundamentally different from those in another. Problems arise when ideas taken from one style of risk management and its normal area of application are applied elsewhere.
Coming up with something logical and practical is hard. Partly this is because quantifying risks is hard. Often there is little data to back up gut feeling. A risk may be something for which there is no relevant history. Gut feeling is notoriously unreliable. Other problems include the fact that risks combine in ways that are difficult to think about and quantify. There is a risk of getting the structure of the model itself wrong, a problem whose impact is difficult to quantify.
Despite this, amazing things can be done by very intelligent people, backed by extensive empirical data and computers, to quantify and visualise risks, often discovering things intuition did not bring to light.
Unfortunately, in other settings this sophistication is not available or hard to justify. Many risk ratings are done by asking groups of people to make subjective ratings and many of these are fundamentally flawed. The most common mistake is to make independent ratings of ‘likelihood of occurrence’ and ‘impact on occurrence’ for ‘risks’ that are really sets of outcomes having varied impacts. (An example is ‘risk of loss of market share"; doesn't the impact depend on how much share is lost?) This is common in Turnbull compliant risk rating in UK listed companies (done as part of the internal control system), for example.
This web page looks at alternative approaches to risk rating and where they are appropriate, emphasising efficiency and valid alternatives to the likelihood x impact mistake.
Typical risk register items
Another way to see the problems of designing a risk quantification scheme is to look at the sort of items that commonly appear on risk registers. Some risk registers break down risk using a consistent scheme and terminology. In others the risks are suggested in brain storming workshops and reflect different concepts of risk. Here are some typical items with comments to bring out the ideas behind each.
There are some key design choices. Perhaps the most helpful to consider first are the purpose(s) of the risk assessments, the underlying theory and ultimate yardstick of risk, whether the approach should be formal and centralised or informal and decentralised or both, whether upside risks are to be considered, and whether the modeling needs to be integrated. Various other factors come into deciding the methods of risk distribution characterisation and what backs them up. Finally, there are choices about how risks are identified in the first place.
Perhaps surprisingly the type of risks included (e.g. compliance, financial reporting, safety) is not directly a consideration though each tends to have its own characteristics which drive the design. For example, equity market risks usually involve looking at the upside too, and using an integrated model (because share returns correlate to some extent), and can usually benefit from a huge amount of readily available quantitive data.
The remaining sections of this page look at these design choices.
What is it for?
The ultimate purpose(s) of the analysis is important to its design. In some cases the risk assessment is only one factor and perhaps less important than you might think:
The conclusion from the above lists is that knowing how much risk you face is not always very helpful and often needs to be supplemented by considering other factors. The best option may be to rethink the risk register more fundamentally, bring in other factors relevant to the decisions being made, and perhaps make risk quantification even simpler and cheaper than before. For an example of this see ‘A new focus for Turnbull compliance.’
Risk quantification is perhaps most important for deciding capital requirements and judging the returns from risk management actions (especially where life is at stake, such as when considering the health risks of new medicines).
The ultimate yardstick
The variety of theories of risk is astonishing. The meaning of ‘risk’ is itself highly controversial among risk experts but you don't have to be an expert to realise, for example, that there is something fundamentally different between ‘a risk’ and ‘some risk". There is little agreement and this is one of the main reasons for the variety of risk measurement and management methods.
Here are four alternative ideas about measuring risk:
Of these methods Expected Utility is particularly interesting and perhaps under-used compared to its potential. It is a practical, everyday alternative to the risk measure approach that is common in finance.
In finance and business management theory it is now common to take shareholder value as the ultimate basis for decisions. This is seen as the same as the market value of a company's shares and as the net present value (NPV) of future cash flows. Though there are variations the typical accountant's way of evaluating decisions is to try to build a model that predicts cash flows and then discount these to find the NPV of each alternative in the decision.
However, this approach struggles in the face of future uncertainty and is difficult to apply in many everyday decisions. The further into the future you look the harder it is to pin down specific cash flows. Businesses are complex systems with many feedback loops. What is the value of a satisfied customer, improved brand image, or hiring someone who has good ideas? Real decision making relies on what people like to call ‘strategic’ considerations. In other words, things we think are important but which we can't seem to reduce to cash flows.
We usually express what we are trying to do using objectives, which rarely have a quantified link to cash flows. Our objectives are things like ‘Improved customer service", ‘Higher awareness of our new services among our customers’, and ‘A more motivated workforce’. The value of different levels of achievement on these objectives is something we typically have only a gut feel for. It would be nice to be more scientific but gut feel is usually all we have time for, particularly as our plans and objectives often shift.
Expected Utility is a tool for rational decision making under uncertainty even in these tough conditions. Each objective is turned into an attribute in a simple utility formula, and levels of achievement on each attribute are described to create scales. Once you have established the attributes you value at all, and set out a scale for each, it can take just a few minutes to get a rough idea of how much you value each level of achievement against each attribute/objective. This can be done using very simple software on a web page, based on techniques called conjoint analysis.
Next, modeling tools like @RISK, Crystal Ball, and XLsim can extend ordinary spreadsheet models by adding in explicit consideration of uncertainty and translating achievements into utility terms at the end of the model. If alternative actions and their risks are modeled to estimate the effect on probability distributions of the attributes then these effects can easily be turned into overall expected utility changes.
Formal and centralised or informal and decentralised?
Most risk modeling and management approaches in use today are formal, centralised, and under the continuous control of a specialist team. However, it doesn't have to be that way. Risk management can be decentralised and under less strict control as an alternative or to complement a formal, centralised approach.
Strategic decisions by senior management about risk and uncertainty are important, but so too are the thousands of less important decisions made by managers at all levels daily. Influencing the skill with which everyone handles risk and uncertainty requires a different, more enthusing, more accessible approach.
Upside risks too?
By upside risks I mean outcomes better than some benchmark level taken as zero. That benchmark will be the planned outcome, expected outcome, or some other outcome considered ‘proper’ for some reason. For example, for credit risk the benchmark is usually that the customer pays back the loan and agreed interest on time. For investment returns the benchmark is typically the expected return. In project risk assessments the planned outcome is usually the benchmark. In many situations we have a choice.
A common view is that risk is purely to do with bad things that might happen. This makes perfect sense if you are managing safety risks, or insurable risks, to name two very important fields of risk management. However, the same approach has unhelpful implications when applied to project and general business risks. In effect it says there can be no better outcome than our plan or forecast.
Often, risk sets suggested in workshops include only part of the story – usually the downside. However, it is easy to guess the rest in most cases. For example, the rest of the risk set ‘Trouble at the mill’ is ‘No trouble at the mill’, and the rest of ‘Loss of market share’ is ‘Gain of market share or market share held.’
These are complete risk sets in the sense that the probabilities of the outcomes in each sum to 1.
If upside risks are considered as well as downside it is even more important to be clear about what the benchmark is i.e. what level represents zero impact? Is it the plan, forecast, or some other level? It may also be more difficult to treat risks as independent.
In general there are great practical advantages to managing upside risks along with downside risks. Typically, a risk event has many effects, some good and some bad.
In some cases, upside variation needs to be considered because it counters downside risk. For example, in modeling portfolios of shares you cannot just consider downsides because often upsides on some shares help cancel out downsides on others. The correlation (or lack of it) between returns on shares is vital to the overall risk and performance and the whole distribution of returns for each share is relevant.
Risk list or an integrated model?
Sometimes it is possible to work on the basis that the risks are independent of each other. For example, it may be safe to assume that the credit worthiness of one mobile telephony customer is independent from that of another. If one customer fails to pay that does not make another less likely to pay.
More often, risks are causally linked and should be considered together as part of a system. For example, accidents in a harbour affecting fishing boats may be rare under normal conditions but rise if there is a ferry on fire. There are many situations where one problem causes a lot more. There are also many situations where a common cause drives correlated variations.
In modeling the risks of a business the causal linkages between a risk and its ultimate impact are complex. Consider a typical corporate risk register item like ‘Loss of market share’. Market share is linked to market size and sales. Sales are related to costs. Sales and costs are related to earnings, but there are many other things that affect earnings. And so on. These things definitely are not independent. If market share turns out to plummet other related things will move too.
The variables we use and the way they are related form a model of the system/business/etc. Even for the same system, very different models can be built. They could be mental models, or computerised, or mathematical. Variables can be continuous or discrete. Links between variables can be deterministic or probabilistic. Independent variable values can have a fixed value or be random. Dependent variables may be determined exactly by other variable values, or probabilistically.
Two interesting styles of mathematical model show the logical features of causal models.
Influence Diagrams use four types of variable: (1) variables you can control, (2) objectives, (3) deterministic variables (i.e. they are determined by a formula based on other variable values with no random element), and (4) probabilistic variables (i.e. they have a random distribution that may or may not be influenced by the values of other variables in the model.
Bayesian Nets (also known as Causal Networks) do not distinguish variables in these ways but every variable has a probability distribution and some are driven by the values of other variables according to conditional probability tables. The probability distributions are updated every time new information is obtained.
For example, suppose you are on a dark street in front of your home trying to judge if someone is already inside. Imagine there are two variables to consider: (1) if there is someone in or not, and (2) if there are any lights on at the front of the house. Before you reached your house your assessment of the probabilities of someone being in at home might have been: IN=0.4, OUT=0.6. Also, you have some conditional probabilities for the lights being on: if IN, then ON=0.7, OFF=0.3, but if OUT, then ON=0.1, OFF=0.9. If you know the rules you can work out that, for example:
This is a very simple example and real models may have scores of variables and many tables of conditional probabilities.
There are some important points for risk assessment:
An alternative to using causal models to deal with dependent risks is to combine risks using statistical correlation. This is the usual technique in finance, but not necessarily the best.
In practice very few ‘risks’ on risk registers describe single outcomes that might happen. Most are sets of risks/outcomes. This is partly because of the need to aggregate risks to make shorter documents. The items on a typical corporate risk register can be divided into the following types:
Very few of the items appearing on typical risk registers are suitable for independent ratings of probability and impact, and most need to be described by a probability distribution of their impact or some other variable that ultimately drives impact.
However, it is usually possible to divide impact into ranges (e.g. ‘high, medium, low’) with numerical definitions and then rate the likelihood of the impact falling in each range. This sacrifices accuracy in order to force every risk set into a form where independent probability and impact ratings can be made.
The overall shape of the probability distribution you want to estimate helps determine the best way to characterise it. This section talks about assessing ‘impact’, but it could be any variable and might have no direct links to the ultimate impact of the risk. Here are some typical shapes for distributions.
One of the simplest is where there is a small number of discrete impact levels. For ‘Our claim for insurance is rejected’ the estimate might be -£1,000 with probability 0.1. It could be pictured as a graph of impact against probability.
This is just part of the story of course. There is also the 0.9 probability of being paid by the insurance company as anticipated, whose impact might have been estimated at zero. The complete picture is, therefore, as below.
Provided the number of impact levels involved is small it is possible to characterise this type of distribution conveniently by listing or tabulating the impacts and their probabilities e.g. (-£1000,0.1), (0,0.9) However, as the number of impact levels gets larger this gets less attractive. This can happen with multiple-occurrence risks where the individual impact is fixed.
Another common distribution is a continuous variation of impact. For example, ‘Loss of market share’ will have different impact for each level of lost share. Imagine the probability of losing at least some market share is thought to be 0.5 and that greater losses are thought to be less likely according to this distribution:
Instead of showing probability on the vertical axis this graph shows probability density, which is a mathematical concept that works like this: The red area covers 0.5 units. That means the probability of losses between zero and -12 is 0.5. The probability of losses between any pair of loss levels in this range is the area under the curve between those two levels.
This sort of distribution might be characterised in a few numbers by saying the likelihood of a loss greater than some other number, or by showing the whole distribution.
(An alternative is to slice the range of the variable into zones and then behave as if the distribution was a set of discrete values instead of being continuous).
Once again this is not the full picture. What about gaining market share or holding it? The full picture might look like this.
This distribution is symmetrical and broadly bell/triangular shaped. A common way to characterise such a distribution is using its mean value (the centre) and variance (how spread out it is).
However, this can be misleading if the distribution is skewed, like this:
The upside has been squashed down so using mean and variance is not appropriate. This type of distribution might be characterised by giving the levels of impact such that you are 10%, 50%, and 90% certain that the impact will be less, or by showing the whole distribution. On the above picture the 10% and 90% levels are picked out in sticking plaster pink and the 50% level with a white line just to the left of the peak.
A number of distributions characterised by three numbers (or more) like this can be summarised using a Tukey box-and-whisker plot, or something similar like this:
Not all continuous distributions have attractively hill-like distributions. Some look more like mountain ranges.
This is very difficult to characterise without being misleading unless you show the whole distribution.
There are also many risk sets which are hybrids. For example, ‘Risk that Tiger Woods pulls out of our tournament’ may have a probability estimated at 0.2, but the impact is not one number. His impact on the tournament may be hard to judge and past history may show that it is variable. So we need a discrete probability of 0.8 for his appearing as we expect (impact zero by our choice of baseline) and a continuous distribution for the loss if he doesn't show.
Imagine you are looking at one or more risk sets on a risk register and need to decide how to characterise them. Should you do it by showing the full picture, or choose some summarising numbers? It depends on how much time and skill you have, and how much it matters to be precise. If you're not going to show the full picture, your method of characterising depends on the overall shape of the distribution. Even if you are going to show the full picture you need a variety of methods to accommodate discrete, continuous, and hybrid distributions.
If all the risk sets in the register have similar distribution shapes it may be possible to use the same method of characterisation throughout. Otherwise this is not going to work very well.
(Technically, it is possible to describe all of these distributions using one type of graph: the cumulative probability density function. This is a graph with impact along the bottom and probability on the vertical axis. The line shows the probability that the impact is less than or equal to the impact at that point. The lines start near the bottom left of the graph and slope up towards the top right. Technically this is fine, but in practice it is hard to read these, which limits their use.)
The quickest and dirtiest method is always to get people to just rate or rank the risk set for ‘importance’ with no analysis or helpful characterisation of the shape of the distribution. The most comprehensive method is always to show the full distribution. An alternative with any continuous distribution is to slice it up and pretend it is a set of discrete impact levels. Here's a summary of the other options:
Using expected values
Comparing two distributions can be difficult. One way is to calculate the Expected Value (EV) of a set of risks. For example, the EV of a risk whose probability is 0.1 and whose impact would be £1,000 is £100 (i.e. 0.1 x £1,000). If the risk set has, say, three risks in it the EV is the sum of the EV of each risk. (There is an analogous definition for continuous variables based on probability densities.)
Converting distributions into expected values condenses the information and tells you what to expect ‘on average’. However, it throws away the very thing you are trying to capture – the risk. As soon as you stop representing uncertainty explicitly in your modeling the true nature of risk is out of view and the Flaw of Averages threatens to undermine the accuracy of your calculations. The same is true when, instead of probability, average frequency of occurrence is used. This is almost an expected value in disguise.
Try to avoid using expected values, except when comparing distributions of the ultimate impact of risks expressed as utility.
Using utility is, in theory, acceptable. Although humans do not behave quite in accordance with the recommendations of utility theory, one of the leading explanations for risk being undesirable is that we tend to value our last £1 much more than our millionth. Offered a bet with a risk of losing £100 and an equally likely risk of gaining £105 most people turn down the bet. This is quite rational if your utility for £100 lost is greater than your utility of £105 won.
Backing up distributions
Providing risk ratings that are more than unreliable guesswork usually requires a lot of careful work. What is the best approach? How much is appropriate? Is it necessary to go to the same lengths for every risk set on your risk register? You might try to make a choice that applies to every risk, or decide your approach for each risk individually, or make a policy that says when certain techniques should be used. In this section I'll run through some things you can vary and consider reasons for choosing one approach over another.
(Frequentists disagree with the previous paragraph, but if you are a frequentist please don't write. I know.)
The cost of getting relevant, reliable data is very different in different situations and this is a major factor in deciding how to back up estimates and to what extent it is possible.
Eliciting ratings is so time consuming to do properly that it may be worthwhile avoiding proper ratings for risk sets that are clearly key ones, or clearly trivial, and only doing ratings for risks that people want to think about more.
Risk identification alternatives
Risk identification is the first thing to be done, but it is not the first thing to design. The best way to identify risks depends on what you will do with them so has to be designed last.
For example, risk rating that focuses on losses is often supplied with risks by identifying an organisation's assets and listing the ways those assets could be damaged or otherwise become less valuable. Risk modeling based on cause-effect models tends to determine the risks; they are the distributions of the independent variables in the model, though it is also possible and desirable to adapt the model to incorporate other specific risks identified by other means.
Here are some considerations for designing the risk identification method:
Seven real examples
The following examples illustrate the astonishing variety of alternatives approaches to risk modeling for a risk register. They were chosen by searching the Internet for complete examples that illustrated variety and could easily be visited by readers with Internet access. Inclusion does not necessarily imply the method is a good one. Here is a summary.
A new focus for Turnbull compliance
The Combined Code on corporate governance that regulates companies listed on the London Stock Exchange, and the ‘Turnbull guidance’ that interprets its requirements on internal controls, both emphasise evaluation of internal controls effectiveness. Risk assessment is a key part of that approach and of the internal control system envisaged. Consequently, much effort has gone into risk workshops and risk registers.
However, the real goal is to have better controls. By concentrating on that rather than evaluation companies can have better controls, meet evaluation requirements, and not spend extra money. Rather than making risk assessment and management more sophisticated to fix the technical flaws common in these exercises, it is better to simplify them further in most cases and concentrate instead on anticipating the need for internal controls development work.
This anticipation of controls work should be based on a number of factors and take into consideration not just risk, but also economic factors, the time needed to implement controls, and cultural fit. By surveying trends, plans, past omissions, control performance statistics, and so on, the top team can identify in advance where extra work is needed to build new controls or remove old ones.
Although risk analysis can be quite sophisticated at the detailed level of designing key controls the process for senior directors (e.g. formed into a Risk and Control Committee) is a more familiar one of approving the direction of resources to meet anticipated needs.
A method of doing this is explained in my paper ‘A new focus for Turnbull compliance’.
Integrated Risk Assessment (IRA) by ABS Consulting
Integrated Risk Assessment by ABS Consulting was offered as an enterprise wide risk assessment approach. Although it aims to cover an entire enterprise it does not cover all types of risk. This approach is aimed at mishaps, so the risks have only downsides. Great accuracy is not claimed and risks appear to be considered independent of each other.
First, the types of mishap to be considered are listed. The enterprise is broken down in stages by some means, such as by geography, then activities, sub-activities, etc to make a hierarchy.
Risks/risk sets are rated by identifying three levels of impact for each: Major, Moderate, and Minor (all with numerical ranges to define them in cost terms). This is a simplification compared with a continuous impact distribution but far better than ignoring the variation in impact.
This generates a matrix with a row for each type of mishap and a column for each level of impact. For each cell in this matrix, average long run frequencies are estimated. (In effect there is no attempt to capture the uncertainty about how many incidents happen per period.)
Risk scores can be used in various ways. One is that the impact ranges are given ‘average’ impact values which are multiplied with the frequencies to give annualised costs. The annualised cost for risk sets can be aggregated up the hierarchy of activities/locations/etc to give overall scores.
Opportunity And Risk management in BAE SYSTEMS Astute Class Limited
Whereas ABS Consulting's Integrated Risk Analysis looks only at downside risk, BAE SYSTEMS Astute Class Limited (ACL) used an approach that included potential opportunities too. The company was set up in 1997 as an independent company within GEC Marconi to manage work on nuclear submarines for the UK Royal Navy. Its approach has been applied to its projects and to the company itself. A software tool, Opportunity And Risk System (OARS), has been used, run over a secure WAN with terminals at participating sites.
Although the description of this approach makes many references to published standards the system of ideas used in OARS is unusual. Here's how the thinking works. I've picked out key terms in italics.
The starting point is a set of requirements, reflecting all stakeholder views. This is examined to identify potential effects, i.e. areas in the outcome that could be affected by risks or opportunities to the business or project. The requirements also allow construction of a solution, i.e. a design specification and plan to meet the requirements (e.g. design and plan to build a nuclear submarine). The solution gives rise to a set of baseline assumptions about the solution from which issues will arise. Issues that remain unresolved become the causes of risks or lost opportunities. Issues can be resolved by taking timely action. If action is successful it will reduce the probability of risks occurring and/or enable opportunities to be realised.
In OARS risks and opportunities are opposites. Risks are bad things that might happen and need to be mitigated and made less likely, whereas opportunities are good things that might happen and need to be realised and made more likely. ACL also refers to uncertainty as other things that might happen and affect achievement of objectives, but which have not been identified specifically as risks or opportunities.
However, ACL may not have fully balanced their thinking about risk and opportunity. They say that many opportunities have been included in bids on the assumption that they will be realised. They point out that this approach gives the risk that the assumption is unrealistic and the benefits will not be realised. Either realising these opportunities is in the baseline assumptions, in which case ACL's risk and opportunity management system is not a truly balanced one, or they are outcomes better than the baseline and it is optimistic bidding that is at fault.
[It could well have been the bidding that was at fault. The paper I am relying on for this description was written in 2001, long before a huge row erupted between the UK government and BAE SYSTEMS about cost overruns on the Astute submarines and another project. The government felt that BAE SYSTEMS should pay for the entire £800m overspend.]
In addition to ACL's system of concepts their approach has some other interesting innovations.
To help people categorise their ideas according to the OARS concepts they prompted people to start sentences with standard words that would tend to elicit the right kind of concept in response. For example, a sentence that has to start with the words ‘The risk is caused by...’ is likely to prompt a cause for a risk.
Also, since the thinking required to model risks etc could not be done quickly enough for a group brain storming exercise they developed a simpler form of workshop based on identifying worries and wishes. These tended to collect a mixture of issues, sources of risk, opportunity actions, and effect/benefit areas. Once collected these were then analysed into the structure needed by OARS.
Risk and opportunity workshops were held at four levels:
In smaller projects levels 2 and 3 were combined into a single meeting. Top down brainstorms were held at all levels at major project/business milestones.
Use of @RISK and PrecisionTree in Procter & Gamble
@RISK is a software tool much like a conventional spreadsheet that adds Monte Carlo simulation and related tools to models that would otherwise typically work on the basis of best guesses.
According to Palisade, the company that sells the @RISK and PrecisionTree software tools for modeling risk and decision making under uncertainty, their customer Procter & Gamble uses @RISK worldwide for investment analysis and over a thousand employees have been trained to use it. The company has used the tool for decisions including new products, extensions of product lines, geographical expansion into new countries, manufacturing savings projects, and production siting.
It was first used by the company to model production siting decisions in 1993. The decisions involved taking into account uncertainties involving the capital and cost aspects of the locations, and also exchange rate fluctuations for cross-border sites.
A very different approach is described by Nakada, Shar, Koyluoglu, and Collignon for application to Property and Casualty (P&C) insurers. Their approach has many features typical of financial risk modeling.
Their model tries to estimate how strong a P&C insurer's balance sheet has to be at the start of a financial period to reduce the risk of business failure during the period to some specified level. The value of the balance sheet is measured in terms of its net realisable value, because if the company folds that's all you get.
Having answered this question for the business as a whole they go on to apportion the value needed for each business activity so that the cost of that capital can be considered when evaluating the contribution of each activity. Some business activities will be found to provide a good return for the capital required and the uncertainty of the activity's returns (i.e. a good Risk Adjusted Return on Economic Capital – RAROC), while others will be found disappointing.
Rather than involving management in workshops, this kind of risk modeling is done by experts using statistics, computers, and more mathematical skill than most people would like to think about. Rather than using simulations they have used mathematical formulae, fitted to data where possible. This means their model runs quickly on a computer and gives precise answers for extreme risks, but some realism has been sacrificed in the model.
The steps of their procedure are:
The risk categories have been chosen on the basis of their risk drivers and distribution shapes. Different techniques are used to model risk in each category:
Structural modeling (mainly for operational risk)
An alternative to the statistical correlation method of aggregating risks is ‘structural modeling’, described by Jerry Miccolis and Samir Shah. Structural models simulate the dynamics of a specific system by modeling cause-effect relationships between variables in that system. Various techniques can be used including stochastic differential equations (useful for financial risks), system dynamics, fuzzy logic, and Bayesian networks.
A wide range of macroeconomic risks can be modeled as a cascade structure where each variable is dependent on the variables above it.
One structural method is system dynamics simulation. The starting point is to use experts' knowledge to diagram the cause and effect relationships of interest. Then, each cause-effect relationship is quantified using historical data and expert judgment. If there is uncertainty the cause-effect relationship is represented by a probability distribution around a point estimate.
The simulation is run to find the ranges of operational and financial variables and the output can be summarised as a probability distribution for financial variables. Alternative operational risk management actions can be evaluated by modifying the model and running what-if analyses.
Mark to Future modeling
The Mark-to-Future (MtF) framework offered by Algorithmics offers an alternative to statistical aggregation of risk using correlations. Algorithmics claim it has performance advantages as well as being easier to understand.
In conventional statistical modeling of risk in, say, a portfolio of shares you need to know the portfolio and the correlations between returns from shares in each company. In the MtF approach you do not need to know the portfolio before doing most of the intensive computations.
To use this approach you need to:
All the probabilistic aspects are captured in the scenarios.
Once the system has calculated the prices etc of all securities in every time period for all the simulated scenarios it is relatively easy to find the value of different portfolios at different times. The probability distribution of the value of a portfolio at a particular time is the distribution of the sum of the prices of the individual stocks under each of the scenarios. It is also relatively easy to do more sophisticated calculations to examine different management policies.
The variety of alternative theories about risk and methods for modeling and managing it is extraordinary. There are more variations than most people realise.
In this paper I have discussed alternatives for modeling risks for a risk register, but much valuable risk management can be done without a risk register. For example, decisions can be made on the basis of areas of uncertainty existing, without any more detailed analysis, and internal control systems can be designed as integrated systems rather than by working out responses to each risk individually. Also, although I mentioned informal, decentralised risk management I said very little about it.
Before designing a system for your own use it is vital to open your mind to the range of options.
Relevant publications by Matthew Leitch include:
The 7 examples were based on the following:
Other interesting software tools are available:
Appendix: The terms ‘rate’, ‘assess’, and ‘quantify’
In this page I use the terms ‘rate’, ‘assess’, and ‘quantify’ as if they all meant the same thing but many people draw distinctions. The words have slightly different connotations and are usually seen in different settings:
This page is about all these kinds of activity.
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Words © 2003 Matthew Leitch. First published 5 June 2003.