Advancing economics in business
December 2020
The risks of using algorithms
in business: demystifying AI
Preparing for resilience: analysing and
treating risk
1
Preparing for resilience: analysing and treating risk
December 2020
Resilience of infrastructure is moving
up the policy agenda, according to a
report published this year by the UK’s
National Infrastructure Commission
(NIC). The NIC considers resilience
to be characterised by an ability to
‘Anticipate, Resist, Absorb, Recover,
Adapt and Transform’. Dr Rupert Booth,
Oxera Economic Adviser, examines the
first element—‘Anticipate’. He considers
the role of the economist in working
with executives on the analysis and
treatment of risk as the first step in
creating a resilience strategy
The NIC is not the first organisation to
report on the topic of resilience in recent
years.1
Ofwat published a report on the
matter in 2017,2
while the Office of Rail and
Road has expressed concern this year that
railway resilience has not kept pace with
climate change,3
and Ofgem has produced
a report on cybersecurity.4
The NIC’s report took a cross-sectoral,
holistic view, identifying gaps in resilience
standards and recommending the
publication of ‘clear, proportionate and
realistic standards’5
for the resilience
of all major infrastructure sectors.
Once these standards are published,
infrastructure operators will have to
adhere to them, using their own Enterprise
Risk Management (ERM) systems and
enhancing their business continuity plans.
Types of risks and
uncertainties
The risks and uncertainties affecting major
infrastructure sectors can be categorised
as follows.6
•	 Event risk. An unexpected event
may cause major disruption. Such
an event might only be unexpected
in terms of time, rather than type. For
example, a global pandemic has long
been predicted, and the COVID-19
pandemic has a relatively low case
fatality rate compared to some earlier
coronavirus epidemics; however, it
has still caused significant disruption,
because it was not expected within
planning horizons. Less dramatic
types of event risk include price
shocks—such as changes in oil prices
following a political event.
Contact
Leon Fields
Senior Consultant
•	 Macroeconomic risk. This may follow
an event or be due to cyclical changes.
In either case, the consequence can
be recession or even deflation, which
will lower demand and profitability
and increase default risks. However,
macroeconomic risk can also refer, for
example, to an overheated economy
giving rise to inflation.
•	 Strategic risk. The strategic
assumptions of a business can
change—for example, through the
emergence of product substitutes or
new competitors. A common strategic
risk is the digitisation of products and
services, leading to the removal of
intermediaries from the supply chain—
an example is Amazon’s Kindle Direct
Publishing, which offers both electronic
delivery and print-on-demand,
and which is a threat to traditional
publishers.
•	 Demand-related risk. As noted
above, events (e.g. the onset of
COVID-19) can lead to a reduction in
demand for some services (e.g. travel),
while boosting others (e.g. broadband).
At the macro level, the transit-oriented
development paradigm of urban
planning is now in retreat, as the earlier
preference for highly dense urban
communities is now reversed with a
preference for suburban or rural living
and working. This will require more
costly infrastructure to service, such as
broadband or roads.
•	 Supply and project risk. Disruption
can lead to a shortage of supplies
for operations, asset management,
or the construction of new assets.
‘Supplies’ can include staff who can no
longer work, leading to a reduction in
operational capacity.
•	 Financial and market risk. For
public companies, a fall in share
price can trigger a takeover attempt.
Many utilities are reliant on cheap
debt financing, and a change in credit
rating can affect the cost of new debt
and hence profitability. Currency
fluctuations can affect the cost of
supplies.
•	 Regulatory risk. This is a two-sided
risk involving either a failure to meet
licence conditions or an unexpected
response of the regulatory agencies
(including the government) to new
circumstances.
The risk-management
process
With such a lengthy and diverse set of
risks and uncertainties, operators require
a framework for identifying and studying
them. Such a framework is provided by
an international standard, ISO31000.
The first version was published in 2009, a
product of the cooperation of 25 countries;
work continued with the publication of
an implementation guide in 2013, and
a revised standard in 2018, along with
a related guide on risk-assessment
techniques in 2019.
Once the communication approach
and context has been set (e.g. the
organisation’s risk appetite and its relation
to corporate strategy), the ISO31000
process involves the following steps.
•	 Risk identification, to identify
sources of risk, vulnerabilities,
and consequences. The output is
a register of risks and supporting
information.
•	 Risk analysis, to generate sufficient
information to evaluate the risks,
including the method of evaluation.
•	 Risk evaluation, which is the critical
decision support stage, to prioritise
risks and prioritise resources with
the aim of reducing vulnerability
to the risks and mitigating their
consequences.
•	 Risk treatment, the enactment of the
decisions taken during risk evaluation,
leaving a residual risk that is deemed
acceptable.
•	 Risk monitoring, the monitoring of
residual risks, the effectiveness of
treatments, and any emerging risks.
These generic principles are helpful,
though more specific guidance on
embedding the system in organisations is
available from COSO, a US not-for-profit
organisation that focuses on auditing.
COSO has published a framework for
ERM systems and additional guidance on
their use.7
The role of economists
in supporting executive
management
So what is the role of economists in all
of this? This is usually one of decision
support—helping executive management
to understand probability, risk and
uncertainty. As noted in Sam Savage’s
‘Flaw of Averages’,8
it is not uncommon
for managers to demand, ‘Give me a
number!’—brushing away any notion of
complexity. The number typically supplied
will be the average or expected value of an
uncertain outcome. However, as I illustrate
in the first box—through an analogy of coin
tossing, often used in the risk literature—
relying on the expected value parameter
alone is unwise.
2
Preparing for resilience: analysing and treating risk
December 2020
The example in the first box shows
that the simple notion of an ‘average’
(ignoring the distinction between an
‘ensemble average’9
and a ‘time average’)
provides an incomplete picture, and
that an understanding of the distribution
of outcomes is essential—given the
necessarily complex judgments made in
evaluation of risk.
Even managing risk exposure using
variances as well as means, as in classical
portfolio theory, can be misleading.
Consider two possibilities: (i) an investment
yielding a 99% chance of a loss of £1 and
a 1% chance of a gain of £99; and (ii) a
second investment with a 99% chance of a
gain of £1 and a 1% chance of a loss of £99.
The means and variances are identical, yet
these are radically different risks, because
the first has a positive skew (not dissimilar
to pharmaceutical R&D or a national
lottery) and the second has negative skew
(similar to insurance or the financial carry
trade).10
In addition to mean and variance,
there is a need to consider the third and
fourth moments—namely skewness and
kurtosis,11
features of ‘fat tails’ that are
discussed below.
To reinforce the point that statistical skills
are needed, the second box provides
another famous example in which functional
experts struggle with probabilities and
Bayes’ theorem, which entails that
extraordinary claims require extraordinary
evidence.
Expert decision support is therefore
essential if mistakes are to be avoided.
However, the expert input also has to
recognise the valid role that subjectivity
and behavioural issues have in making
decisions on the allocation of resources.
The role of subjectivity
On the issue of subjectivity, utility theory
has a long history of accounting for the
non-linear relationship between wealth
and satisfaction; a generally concave
relationship is observed, showing
diminishing satisfaction for increased
wealth. This is consistent with the risk
aversion shown by most individuals and
organisations.13
More recently, prospect theory recognises
that most people are more sensitive to
losses than gains,14
which is why the coin-
flipping investment discussed in the first box
above is unlikely to be attractive. Finally,
there are the fields of behavioural finance
and economics, which attempt to explain
the irrational preferences of investors
(or managers), and which contrasts
with traditional finance theory, with its
emphasis on means and variances, and the
hypothesis of the ‘rational economic man’.15
The role of the economist here is to act as
an interpreter, making sense of subjective
viewpoints and checking their validity, rather
than trying to eliminate them. Ultimately,
investor and consumer sentiment is
subjective, and managerial judgments need
to reflect this.
‘Fat tails’
‘Kurtosis’ refers to the ‘fatness’ of the
distribution, and many real-life distributions
have been shown to have ‘fat tails’—i.e.
the frequency of extreme events is greater
than is expected than for a normal (i.e.
Gaussian) distribution. Fat-tail distributions
may be power law or lognormal distributions
(which apply to hurricane damages), or
Pareto distributions (first observed in income
distribution). In such cases, it is possible
to use alternative approaches—such as a
Monte Carlo simulation (‘MCS’), which can
not only forecast a distribution of outcomes,
but also examine path dependencies.
Spreadsheet packages for MCS are widely
available.16
These approaches can be
especially useful in business cases and
cost−benefit analysis, where differences
in opinion in costs and revenues can be
captured in the distributions used for the
independent variables, rather than requiring
agreement between parties on single-point
estimates.
A further twist to risk management occurs
when new information is presented or
expected. This creates the possibility of
‘keeping options open’ and option values
that may require recognition in cost−
benefit analysis. As the Treasury Green
Book notes:17
‘Real Options analysis is
particularly applicable to proposals that
exhibit significant uncertainty following
initial investment, but where learning
opportunities and flexibility in future
decisions can help mitigate this’.
Qualitative methods
Risk analysis is not confined to quantitative
methods—indeed, a qualitative analysis
of risk usually precedes the quantitative
analysis, to focus attention on where
analysis will be most worthwhile. The
qualitative analysis is typically undertaken
by plotting risks on a 2×2 matrix showing
‘likelihood’ and ‘effect’. This analysis
usually leads to different treatment
approaches—for instance, a combination of
low likelihood and low effect may well lead
one to ‘accept’ a risk, while a combination
of high likelihood and high effect could lead
one to ‘avoid’ a risk.
For some risks, ‘transfer’ is an option—
such as through insurance, which
requires analysis of the balance of
premiums and losses. A very common
approach is to ‘reduce’ risk, either through
lessening vulnerability or mitigating the
consequences, though this may require
investment and a cost−benefit analysis to
confirm value for money.
Given that it may be difficult to estimate
probabilities of major and infrequent events,
another approach is ‘scenario analysis’,
where alternative futures are envisaged.
This allows organisations to assess the
effects of hypothetical scenarios. One
particular variant of scenario analysis
is ‘stress testing’, where a combination
of adverse circumstances is examined
to assess robustness. This has been
used by financial regulators and is given
special mention in the NIC report, which
recommends that ‘infrastructure operators
should carry out regular and proportionate
stress tests, overseen by regulators’.18
Repeated exposure to risk
In a simple coin-flipping wager, let there be an equal chance of a gain of 50% or a
loss of 40%. The expected value shows a 5% gain, and with no risk of ruin, defined
in this case as a loss of half of initial capital. So the decision is made to play time
and time again. Yet after two rounds, although the average gain stands at 10.25%,
three out of four outcomes show a loss of capital, and one of those outcomes is a
ruinous reduction of capital of 64%. Play four times and only five out of 16 cases
show a gain, and another five cases show a ruinous outcome, with the remaining six
showing a loss of 19%.
Misinterpretation of statistics by functional experts
Assume that one in 1,000 people has a disease. Assume also that a test to detect
the disease has 100% sensitivity (i.e. no false negatives) and 95% specificity
(meaning 5% false positives). If the person tests positive, what is the chance that
the person actually has the disease? The answer is 1.96%, according to Bayes’
theorem.
However, when Harvard Medical School staff and students were asked to calculate
the probability of the patient having a disease, using the exact assumptions just
stated, most provided an answer of 95% instead of the correct answer of less than
2%.12
3
Preparing for resilience: analysing and treating risk
December 2020
1
National Infrastructure Commission (2020), ‘Anticipate, React,
Recover: Resilient infrastructure systems’, May, https://bit.
ly/33XMhli.
2
Ofwat (2017), ‘Resilience in the Round: Building resilience for
the future’, 14 September, https://bit.ly/3oLsU6Z.
3
Office of Rail and Road (2020), ‘Annual Report of Health and
Safety Performance on Britain’s Railways 2019/20’, 14 July,
https://bit.ly/37TherM.
4
Ofgem (2020), ‘RIIO-2 Cyber Resilience Guidelines’, 5 February,
https://bit.ly/3gy8340.
5
Ibid., p. 11.
6
A risk is usually defined as an (undesirable, possible) outcome
of an event, the probability of which can be predicted, whereas an
uncertainty has an unknown probability. However, the two terms
are often used interchangeably.
7
COSO (2020), ‘Creating and Protecting Value: Understanding
and implementing enterprise risk management’, https://bit.
ly/37LYDxS.
8
Savage, S. (2002), ‘The Flaw of Averages’, Harvard Business
Review, 80:11, pp. 20−1. See also the summary of Savage’s
article in the online magazine of the Harvard Business Review,
https://bit.ly/3m3aNaQ.
9
An ensemble average is the average of many identical systems
at a given time, whereas a time average is the average of a single
system over a period.
10
A skew is positive when the right-side tail of a distribution is
fatter or longer, and a skew is negative when the left-hand tail is
longer or fatter.
11
Kurtosis is a measure of fatness of tails of a distribution. A
leptokurtic distribution has longer or fatter tails than a normal
distribution, indicating a greater exposure to extreme events.
12
Casscells, W., Schoenberger, A. and Graboys, T. B. (1978),
‘Interpretation by physicians of clinical laboratory results’, New
England Journal of Medicine, 299, pp. 999−1001,
https://bit.ly/340ZFF9.
13
Moscati, I. (2016), ‘Retrospectives: How Economists Came
to Accept Expected Utility Theory: The Case of Samuelson and
Savage’, Journal of economic perspectives, 30:2, pp. 219–36,
https://bit.ly/3n8cyol.
14
Wang, L., Wang, Y. M. and Martínez, L. (2017), ‘A group
decision method based on prospect theory for emergency
situations’, Information Sciences, 418, pp.119–35,
https://bit.ly/3n5KUIH.
15
Costa, D. F., Carvalho, F. D. M. and Moreira, B. C. D. M. (2019),
‘Behavioral economics and behavioral finance: A bibliometric
analysis of the scientific fields’, Journal of Economic Surveys,
33:1, pp. 3–24, https://bit.ly/2K65tpL.
16
For further information, see University of San Francisco (2020),
‘Spreadsheet Analytics: Monte Carlo Simulation’.
17
HM Treasury (2018), ‘The Green Book: Central government
guidance on appraisal and evaluation’.
18
HM Treasury (2018), ‘The Green Book: Central government
guidance on appraisal and evaluation’.
19
The ISO 22301 International Standard for business continuity
management provides further guidance.
20
National Infrastructure Commission (2020), ‘Anticipate, React,
Recover: Resilient infrastructure systems’, May, https://bit.
ly/340zLRW, p. 7.
21
Ibid., p. 7.
Reporting and monitoring
Once the analysis and evaluation stages
are complete and management has taken
decisions on risk treatment, it would be best
practice to summarise the outcomes in a
risk-management report that is used as a
basis for ongoing monitoring. The report can
also be a key input to the development of a
business continuity plan.19
Applications
An analysis of risk is the foundation for the
‘anticipate’ stage of the resilience process.
It also supports the creation of a realistic
business continuity plan, which places an
infrastructure operator on a good footing
for discussions with the regulator, as it
responds to the NIC recommendation that
‘infrastructure operators should develop and
maintain long term resilience strategies’.20
Equally as important, the existence of such a
business continuity plan can reduce the level
of operational risk within the operator itself,
potentially leading to enhanced profitability.
The NIC report noted that ‘regulators
should ensure their determinations in
future price reviews are consistent with
meeting resilience standards in the short
and long term’.21
Robust analysis allows
economists to highlight the incremental
cost of implementing a resilience strategy
and to determine whether incurring this cost
is completely consistent with economic
efficiency.
Furthermore, infrastructure operators may be
engaged in litigation on many fronts, and it
is worth developing the capability to quantify
risks of adverse events and their likely costs.
Anticipating risks to improve
resilience
As resilience to extreme events is being
recognised as increasingly important
to infrastructure operators, so the need
increases for robust quantitative and
qualitative analysis to estimate the likelihoods
and consequences of risks. This Agenda in
focus article has illustrated some of the wide
range of tools that are available to executive
management as they seek to manage the
risks of their operations and prove their
preparedness and resilience to regulators.
Dr Rupert Booth
Contact
leon.fields@oxera.com
Leon Fields

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Preparing for Resilience

  • 1. Advancing economics in business December 2020 The risks of using algorithms in business: demystifying AI Preparing for resilience: analysing and treating risk
  • 2. 1 Preparing for resilience: analysing and treating risk December 2020 Resilience of infrastructure is moving up the policy agenda, according to a report published this year by the UK’s National Infrastructure Commission (NIC). The NIC considers resilience to be characterised by an ability to ‘Anticipate, Resist, Absorb, Recover, Adapt and Transform’. Dr Rupert Booth, Oxera Economic Adviser, examines the first element—‘Anticipate’. He considers the role of the economist in working with executives on the analysis and treatment of risk as the first step in creating a resilience strategy The NIC is not the first organisation to report on the topic of resilience in recent years.1 Ofwat published a report on the matter in 2017,2 while the Office of Rail and Road has expressed concern this year that railway resilience has not kept pace with climate change,3 and Ofgem has produced a report on cybersecurity.4 The NIC’s report took a cross-sectoral, holistic view, identifying gaps in resilience standards and recommending the publication of ‘clear, proportionate and realistic standards’5 for the resilience of all major infrastructure sectors. Once these standards are published, infrastructure operators will have to adhere to them, using their own Enterprise Risk Management (ERM) systems and enhancing their business continuity plans. Types of risks and uncertainties The risks and uncertainties affecting major infrastructure sectors can be categorised as follows.6 • Event risk. An unexpected event may cause major disruption. Such an event might only be unexpected in terms of time, rather than type. For example, a global pandemic has long been predicted, and the COVID-19 pandemic has a relatively low case fatality rate compared to some earlier coronavirus epidemics; however, it has still caused significant disruption, because it was not expected within planning horizons. Less dramatic types of event risk include price shocks—such as changes in oil prices following a political event. Contact Leon Fields Senior Consultant • Macroeconomic risk. This may follow an event or be due to cyclical changes. In either case, the consequence can be recession or even deflation, which will lower demand and profitability and increase default risks. However, macroeconomic risk can also refer, for example, to an overheated economy giving rise to inflation. • Strategic risk. The strategic assumptions of a business can change—for example, through the emergence of product substitutes or new competitors. A common strategic risk is the digitisation of products and services, leading to the removal of intermediaries from the supply chain— an example is Amazon’s Kindle Direct Publishing, which offers both electronic delivery and print-on-demand, and which is a threat to traditional publishers. • Demand-related risk. As noted above, events (e.g. the onset of COVID-19) can lead to a reduction in demand for some services (e.g. travel), while boosting others (e.g. broadband). At the macro level, the transit-oriented development paradigm of urban planning is now in retreat, as the earlier preference for highly dense urban communities is now reversed with a preference for suburban or rural living and working. This will require more costly infrastructure to service, such as broadband or roads. • Supply and project risk. Disruption can lead to a shortage of supplies for operations, asset management, or the construction of new assets. ‘Supplies’ can include staff who can no longer work, leading to a reduction in operational capacity. • Financial and market risk. For public companies, a fall in share price can trigger a takeover attempt. Many utilities are reliant on cheap debt financing, and a change in credit rating can affect the cost of new debt and hence profitability. Currency fluctuations can affect the cost of supplies. • Regulatory risk. This is a two-sided risk involving either a failure to meet licence conditions or an unexpected response of the regulatory agencies (including the government) to new circumstances. The risk-management process With such a lengthy and diverse set of risks and uncertainties, operators require a framework for identifying and studying them. Such a framework is provided by an international standard, ISO31000. The first version was published in 2009, a product of the cooperation of 25 countries; work continued with the publication of an implementation guide in 2013, and a revised standard in 2018, along with a related guide on risk-assessment techniques in 2019. Once the communication approach and context has been set (e.g. the organisation’s risk appetite and its relation to corporate strategy), the ISO31000 process involves the following steps. • Risk identification, to identify sources of risk, vulnerabilities, and consequences. The output is a register of risks and supporting information. • Risk analysis, to generate sufficient information to evaluate the risks, including the method of evaluation. • Risk evaluation, which is the critical decision support stage, to prioritise risks and prioritise resources with the aim of reducing vulnerability to the risks and mitigating their consequences. • Risk treatment, the enactment of the decisions taken during risk evaluation, leaving a residual risk that is deemed acceptable. • Risk monitoring, the monitoring of residual risks, the effectiveness of treatments, and any emerging risks. These generic principles are helpful, though more specific guidance on embedding the system in organisations is available from COSO, a US not-for-profit organisation that focuses on auditing. COSO has published a framework for ERM systems and additional guidance on their use.7 The role of economists in supporting executive management So what is the role of economists in all of this? This is usually one of decision support—helping executive management to understand probability, risk and uncertainty. As noted in Sam Savage’s ‘Flaw of Averages’,8 it is not uncommon for managers to demand, ‘Give me a number!’—brushing away any notion of complexity. The number typically supplied will be the average or expected value of an uncertain outcome. However, as I illustrate in the first box—through an analogy of coin tossing, often used in the risk literature— relying on the expected value parameter alone is unwise.
  • 3. 2 Preparing for resilience: analysing and treating risk December 2020 The example in the first box shows that the simple notion of an ‘average’ (ignoring the distinction between an ‘ensemble average’9 and a ‘time average’) provides an incomplete picture, and that an understanding of the distribution of outcomes is essential—given the necessarily complex judgments made in evaluation of risk. Even managing risk exposure using variances as well as means, as in classical portfolio theory, can be misleading. Consider two possibilities: (i) an investment yielding a 99% chance of a loss of £1 and a 1% chance of a gain of £99; and (ii) a second investment with a 99% chance of a gain of £1 and a 1% chance of a loss of £99. The means and variances are identical, yet these are radically different risks, because the first has a positive skew (not dissimilar to pharmaceutical R&D or a national lottery) and the second has negative skew (similar to insurance or the financial carry trade).10 In addition to mean and variance, there is a need to consider the third and fourth moments—namely skewness and kurtosis,11 features of ‘fat tails’ that are discussed below. To reinforce the point that statistical skills are needed, the second box provides another famous example in which functional experts struggle with probabilities and Bayes’ theorem, which entails that extraordinary claims require extraordinary evidence. Expert decision support is therefore essential if mistakes are to be avoided. However, the expert input also has to recognise the valid role that subjectivity and behavioural issues have in making decisions on the allocation of resources. The role of subjectivity On the issue of subjectivity, utility theory has a long history of accounting for the non-linear relationship between wealth and satisfaction; a generally concave relationship is observed, showing diminishing satisfaction for increased wealth. This is consistent with the risk aversion shown by most individuals and organisations.13 More recently, prospect theory recognises that most people are more sensitive to losses than gains,14 which is why the coin- flipping investment discussed in the first box above is unlikely to be attractive. Finally, there are the fields of behavioural finance and economics, which attempt to explain the irrational preferences of investors (or managers), and which contrasts with traditional finance theory, with its emphasis on means and variances, and the hypothesis of the ‘rational economic man’.15 The role of the economist here is to act as an interpreter, making sense of subjective viewpoints and checking their validity, rather than trying to eliminate them. Ultimately, investor and consumer sentiment is subjective, and managerial judgments need to reflect this. ‘Fat tails’ ‘Kurtosis’ refers to the ‘fatness’ of the distribution, and many real-life distributions have been shown to have ‘fat tails’—i.e. the frequency of extreme events is greater than is expected than for a normal (i.e. Gaussian) distribution. Fat-tail distributions may be power law or lognormal distributions (which apply to hurricane damages), or Pareto distributions (first observed in income distribution). In such cases, it is possible to use alternative approaches—such as a Monte Carlo simulation (‘MCS’), which can not only forecast a distribution of outcomes, but also examine path dependencies. Spreadsheet packages for MCS are widely available.16 These approaches can be especially useful in business cases and cost−benefit analysis, where differences in opinion in costs and revenues can be captured in the distributions used for the independent variables, rather than requiring agreement between parties on single-point estimates. A further twist to risk management occurs when new information is presented or expected. This creates the possibility of ‘keeping options open’ and option values that may require recognition in cost− benefit analysis. As the Treasury Green Book notes:17 ‘Real Options analysis is particularly applicable to proposals that exhibit significant uncertainty following initial investment, but where learning opportunities and flexibility in future decisions can help mitigate this’. Qualitative methods Risk analysis is not confined to quantitative methods—indeed, a qualitative analysis of risk usually precedes the quantitative analysis, to focus attention on where analysis will be most worthwhile. The qualitative analysis is typically undertaken by plotting risks on a 2×2 matrix showing ‘likelihood’ and ‘effect’. This analysis usually leads to different treatment approaches—for instance, a combination of low likelihood and low effect may well lead one to ‘accept’ a risk, while a combination of high likelihood and high effect could lead one to ‘avoid’ a risk. For some risks, ‘transfer’ is an option— such as through insurance, which requires analysis of the balance of premiums and losses. A very common approach is to ‘reduce’ risk, either through lessening vulnerability or mitigating the consequences, though this may require investment and a cost−benefit analysis to confirm value for money. Given that it may be difficult to estimate probabilities of major and infrequent events, another approach is ‘scenario analysis’, where alternative futures are envisaged. This allows organisations to assess the effects of hypothetical scenarios. One particular variant of scenario analysis is ‘stress testing’, where a combination of adverse circumstances is examined to assess robustness. This has been used by financial regulators and is given special mention in the NIC report, which recommends that ‘infrastructure operators should carry out regular and proportionate stress tests, overseen by regulators’.18 Repeated exposure to risk In a simple coin-flipping wager, let there be an equal chance of a gain of 50% or a loss of 40%. The expected value shows a 5% gain, and with no risk of ruin, defined in this case as a loss of half of initial capital. So the decision is made to play time and time again. Yet after two rounds, although the average gain stands at 10.25%, three out of four outcomes show a loss of capital, and one of those outcomes is a ruinous reduction of capital of 64%. Play four times and only five out of 16 cases show a gain, and another five cases show a ruinous outcome, with the remaining six showing a loss of 19%. Misinterpretation of statistics by functional experts Assume that one in 1,000 people has a disease. Assume also that a test to detect the disease has 100% sensitivity (i.e. no false negatives) and 95% specificity (meaning 5% false positives). If the person tests positive, what is the chance that the person actually has the disease? The answer is 1.96%, according to Bayes’ theorem. However, when Harvard Medical School staff and students were asked to calculate the probability of the patient having a disease, using the exact assumptions just stated, most provided an answer of 95% instead of the correct answer of less than 2%.12
  • 4. 3 Preparing for resilience: analysing and treating risk December 2020 1 National Infrastructure Commission (2020), ‘Anticipate, React, Recover: Resilient infrastructure systems’, May, https://bit. ly/33XMhli. 2 Ofwat (2017), ‘Resilience in the Round: Building resilience for the future’, 14 September, https://bit.ly/3oLsU6Z. 3 Office of Rail and Road (2020), ‘Annual Report of Health and Safety Performance on Britain’s Railways 2019/20’, 14 July, https://bit.ly/37TherM. 4 Ofgem (2020), ‘RIIO-2 Cyber Resilience Guidelines’, 5 February, https://bit.ly/3gy8340. 5 Ibid., p. 11. 6 A risk is usually defined as an (undesirable, possible) outcome of an event, the probability of which can be predicted, whereas an uncertainty has an unknown probability. However, the two terms are often used interchangeably. 7 COSO (2020), ‘Creating and Protecting Value: Understanding and implementing enterprise risk management’, https://bit. ly/37LYDxS. 8 Savage, S. (2002), ‘The Flaw of Averages’, Harvard Business Review, 80:11, pp. 20−1. See also the summary of Savage’s article in the online magazine of the Harvard Business Review, https://bit.ly/3m3aNaQ. 9 An ensemble average is the average of many identical systems at a given time, whereas a time average is the average of a single system over a period. 10 A skew is positive when the right-side tail of a distribution is fatter or longer, and a skew is negative when the left-hand tail is longer or fatter. 11 Kurtosis is a measure of fatness of tails of a distribution. A leptokurtic distribution has longer or fatter tails than a normal distribution, indicating a greater exposure to extreme events. 12 Casscells, W., Schoenberger, A. and Graboys, T. B. (1978), ‘Interpretation by physicians of clinical laboratory results’, New England Journal of Medicine, 299, pp. 999−1001, https://bit.ly/340ZFF9. 13 Moscati, I. (2016), ‘Retrospectives: How Economists Came to Accept Expected Utility Theory: The Case of Samuelson and Savage’, Journal of economic perspectives, 30:2, pp. 219–36, https://bit.ly/3n8cyol. 14 Wang, L., Wang, Y. M. and Martínez, L. (2017), ‘A group decision method based on prospect theory for emergency situations’, Information Sciences, 418, pp.119–35, https://bit.ly/3n5KUIH. 15 Costa, D. F., Carvalho, F. D. M. and Moreira, B. C. D. M. (2019), ‘Behavioral economics and behavioral finance: A bibliometric analysis of the scientific fields’, Journal of Economic Surveys, 33:1, pp. 3–24, https://bit.ly/2K65tpL. 16 For further information, see University of San Francisco (2020), ‘Spreadsheet Analytics: Monte Carlo Simulation’. 17 HM Treasury (2018), ‘The Green Book: Central government guidance on appraisal and evaluation’. 18 HM Treasury (2018), ‘The Green Book: Central government guidance on appraisal and evaluation’. 19 The ISO 22301 International Standard for business continuity management provides further guidance. 20 National Infrastructure Commission (2020), ‘Anticipate, React, Recover: Resilient infrastructure systems’, May, https://bit. ly/340zLRW, p. 7. 21 Ibid., p. 7. Reporting and monitoring Once the analysis and evaluation stages are complete and management has taken decisions on risk treatment, it would be best practice to summarise the outcomes in a risk-management report that is used as a basis for ongoing monitoring. The report can also be a key input to the development of a business continuity plan.19 Applications An analysis of risk is the foundation for the ‘anticipate’ stage of the resilience process. It also supports the creation of a realistic business continuity plan, which places an infrastructure operator on a good footing for discussions with the regulator, as it responds to the NIC recommendation that ‘infrastructure operators should develop and maintain long term resilience strategies’.20 Equally as important, the existence of such a business continuity plan can reduce the level of operational risk within the operator itself, potentially leading to enhanced profitability. The NIC report noted that ‘regulators should ensure their determinations in future price reviews are consistent with meeting resilience standards in the short and long term’.21 Robust analysis allows economists to highlight the incremental cost of implementing a resilience strategy and to determine whether incurring this cost is completely consistent with economic efficiency. Furthermore, infrastructure operators may be engaged in litigation on many fronts, and it is worth developing the capability to quantify risks of adverse events and their likely costs. Anticipating risks to improve resilience As resilience to extreme events is being recognised as increasingly important to infrastructure operators, so the need increases for robust quantitative and qualitative analysis to estimate the likelihoods and consequences of risks. This Agenda in focus article has illustrated some of the wide range of tools that are available to executive management as they seek to manage the risks of their operations and prove their preparedness and resilience to regulators. Dr Rupert Booth Contact [email protected] Leon Fields