CP1 Ch0
CP1 Ch0
Page 1
3.2 Demonstrate how the actuarial control cycle can be applied in a variety of practical
commercial situations, including its use as a risk management control cycle.
0 Introduction
When you first receive your Subject CP1 Course Notes, it is difficult to get over the sheer size of
them! However, it’s worth remembering that this subject is comparable in size to two
SP subjects, so it is going to be big. Once you have unpacked the material into binders and taken
a deep breath, we hope that you will feel ready for a gentle introduction to the subject.
It is important that you read this chapter since it does contain some (examinable) Core Reading.
Many of these concepts span several actuarial disciplines, eg investment, general insurance, life
insurance and pensions. Therefore, rather than splitting the Subject CP1 course into disciplines,
the course is split into concepts. Within each concept, reference is made to how it relates
similarly to, or differently between, the various disciplines.
The Subject CP1 course is written around the actuarial control cycle (ACC). This is the first
important concept to get to grips with.
The ACC gives a framework for solving actuarial problems. The ACC looks like this:
Monitoring the
Experience
Professionalism
You may well be thinking that this is not a terribly exciting way to solve actuarial problems and
that the steps in the ACC are largely common sense. This is fair enough, but bear in mind that
when an actuarial task fails, it is often due to a breakdown in part of the ACC process.
For example, you may have come across situations at work where the assumptions used in a
model are really outdated (ie the monitoring the experience stage of the ACC has broken down) or
where colleagues have failed to provide adequate documentation for a task (ie it could be viewed
that they have not been professional).
C –
–
Asset management
Capital management
– Surplus management
– Accounting and reporting
Monitoring the Experience
– Monitoring
– Analysis of surplus
Professionalism
– Actuarial advice
The actuarial control cycle is a fundamental tool of risk management – the process of
analysing, quantifying, mitigating and monitoring risks.
The central part of the model is based on a simple approach to problem solving:
Analyse situations, products and projects to determine the risks to which they are
exposed.
Monitor the situation and the risk management procedures implemented as time
develops.
The final bullet point above indicates that the process is cyclical. The approach used in
almost all risk management tasks is that of the actuarial control cycle.
The actuarial control cycle must of course be considered in the context of the specific
economic and commercial environment in which it is being used. For example, in a
particular scenario it might be necessary to consider legislation, taxation, and economic
trends.
In actuarial and risk management work, the feedback mechanism within the cycle is not an
automatic process resulting in a pre-determined, unconscious adjustment, as happens in
some engineering systems. The feedback mechanism in the actuarial control cycle requires
the actuary to exercise professional judgement.
decisions need to be made in the short term in the light of likely future outcomes
the need to allow for the general business environment – the impact of legislation,
regulation, taxation, competition
modifying models / strategies in the light of this analysis of the emerging experience
Clearly the context or environment will depend on the field in which the actuary is working.
Example
An actuary working in the field of investment and asset management will want to be aware of the:
terminology used in investment and asset management
characteristics of the assets and the markets in which a fund might invest
possible returns from both income and capital gain on major asset classes and the
variability of these returns
correlation of returns between asset classes and correlation of the returns with changes
in the value of the investor’s liabilities
legislative and regulatory framework for investment management and the securities
industry
ways in which investment returns are taxed and how this affects investor behaviour
assets invested in by competitors and any performance benchmarks
impact of any relevant professional guidance.
Question
List the factors that would make up the general economic and commercial environment for an
actuary working in general insurance.
Solution
The general economic and commercial environment of an actuary working in general insurance
includes:
customer needs and how those needs are changing over time
different types of general insurance products, who uses these products and the
associated risks
the competition, the products they offer and the prices they charge
jargon used in the industry
main features of the insurance market and the different marketing strategies
reinsurance products and the terms on which they are available
effect the economy has on an insurer’s operations
rules and regulations
impact of professional guidance.
This stage of the control cycle considers the strategic courses of action that could be used
to handle the particular risks in question. It gives an assessment of the risks faced and how
they can be managed, mitigated or transferred. This will reflect the desire of most
institutions to manage their risk both in their core business and in activities incidental to
their core business.
Question
A financial services provider is considering developing an investment product that will give access
to the stock market to customers who wish to save regular, small amounts of money. The
financial services provider will collect customers’ premiums and manage their investments on
their behalf (for an appropriate charge).
Describe the key risks to which this product gives rise for the provider.
Solution
This stage also provides an analysis of the options for the design of solutions to the
problem plans that transfer risk from one set of stakeholders to another.
an examination of the major actuarial models currently in use and how they may be
adjusted for the particular problem to be solved.
selection of the most appropriate model to use for the problem, or construction of a
new model.
formalising a proposal.
The most important model is likely to be one consisting of the future cashflows expected on an
individual contract or benefit scheme or a portfolio of business.
We can analyse individual elements of experience (claim rates, investment returns, mortality,
salary growth, expenses etc) in order to compare actual experience with what had been assumed.
The assumptions made will rarely turn out to be correct and may lead to a wrong solution
(eg unprofitable premium rates). With more up-to-date information the assumptions can be
revised and a new solution developed.
An important part of this monitoring will be the identification of the causes of any departure
from the targeted outcome from the model and a consideration as to whether such
departures are likely to recur.
Monitoring should be carried out regularly. For a new contract, where there is lots of uncertainty,
monitoring should take place more frequently initially.
Feedback loops
It is vital that the results of the monitoring process are used. Monitoring might indicate that
the problem was not fully or correctly specified – in other words the solution developed
does not solve the problem that it now appears exists. Alternatively monitoring might
indicate that the solution as developed did not take some vital feature into account ...
More usually, the monitoring process indicates that the solution should be refined, perhaps
to bring it up to date, or to reflect current experience, rather than that the solution was not
appropriate. If these results are not fed back into the cycle it is likely that unsatisfactory
consequences for one or more stakeholders will result.
Professionalism
Professionalism needs to be demonstrated throughout the actuarial control cycle process and in
the communication of the results.
For example, relevant Technical Actuarial Standards should be followed and the views of all
stakeholders taken into account. We will consider professionalism in greater detail in the next
chapter.
For example:
determining the current level of profit or solvency and estimating future solvency
assessing the need for capital to protect against the consequences of risk events
determining and monitoring mortality, expense and persistency assumptions for use
within the design of and reserving for contracts or schemes
Solving these problems is likely to involve the use of techniques and concepts introduced
in the Core Principles subjects.
Discussing these problems and the issues that arise in addressing them forms the basis of much of
the remainder of Subject CP1 as well as later subjects. The actuarial control cycle provides a
framework for these discussions.
If you have previously studied financial economics you may well have been introduced to the
concepts of investment risk and credit risk. We will cover these and other examples of types of
risk in the course.
An example of credit risk for corporate bonds would be the failure to make interest payments on
set dates or failure to repay the face value of the bond on the redemption date.
At a fundamental level, risk might be considered to be exposure to actual events being different
from those expected (or desired!). However, this definition results in ambiguity.
Question
Suggest how an increase in real salary growth may be considered positively by one particular
individual or organisation and negatively by another.
Solution
Real salary growth being higher than expected might be seen by:
employees as good news, especially if pension benefits are based on final salary!
employers as bad news, assuming that it reduces profit margins and increases the cost of
running the business
the Government as good news, in that income tax revenue will rise in real terms
the Government as bad news, in that it may precipitate higher inflation.
In this sense, risk is a concept that is very much situation dependent (‘in the eye of the beholder’).
In Subject CP1 we consider a range of potential stakeholders, including, for example:
investors
lenders / creditors
trustees
members of benefit schemes (eg pension schemes)
insurers
beneficiaries of insurance policies
reinsurers.
Question
For each of the above potential stakeholders give examples of where the possibility of actual
events deviating from expected exposes them to risk. Try not to repeat yourself and come up
with different events for each stakeholder.
Solution
Investors – market prices don’t rise as fast as expected (or hoped for).
Lenders / creditors – customers to whom credit terms are given fail to pay what is owed.
Trustees – professional advice, which is relied upon in order to make decisions, proves to be
flawed.
Members with pensions in payment – retail prices rise faster than pension income.
Insurers – mortality rates assumed as part of the premium rating exercise turn out to be
optimistic due to poor vetting of applications, resulting in underwriting losses.
Beneficiaries – benefits under health insurance policies prove to be inadequate due to high levels
of medical cost inflation.
Reinsurers – risks ceded to a single reinsurer by multiple direct insurers were believed,
incorrectly, to be independent and a subsequent single event causes a catastrophic aggregate
loss.
The risks relating to asset proceeds and liability outgoes might present less of a problem if both
assets and liabilities ‘behave similarly’.
For example, in terms of cashflows, if liability outgoes correspond to asset proceeds, then actual
deviations from expected will present less of a risk than they might otherwise have done in
isolation.
Similarly, but thinking in terms of values, if assets are chosen whose values move in line with
those of the liabilities, then actual deviations from expected will present less of a risk than they
might otherwise have done in isolation.
Under such circumstances assets are said to be a ‘good match’ for the liabilities. (The full concept
of asset-liability matching is considered in detail later in this course.)
So we should modify the above list to state that risk generally occurs when:
1. asset values / proceeds are important in isolation to the stakeholder and they are not as
expected
2. liability values / outgoes are important in isolation to the stakeholder and they are not as
expected
3. asset values / proceeds and liability values / outgoes are not important in isolation to the
stakeholder, but the relative values (value of assets less value of liabilities) and/or net
cashflows (asset proceeds less liability outgoes) are important and are not as expected.
Question
(i) Suggest an example from your own experience where a risk has arisen because of the
mismatch in the amount of asset and liability values and/or cashflows.
(ii) Suggest another example where the amounts of asset and liability cashflows are equal but
risk has arisen because of a mismatch in timing.
Solution
(i) I’ve saved regularly for three years to cover the cost of buying a replacement car. A risk
has arisen in that the accumulated savings may not be enough to cover the purchase price
due to car-price inflation exceeding that expected and/or interest rates on my savings
being less than expected.
(ii) My dental insurance covers the cost of having my teeth crowned but I have to pay for the
treatment first and then claim on the insurance afterwards. A risk has arisen because I
may need to borrow money to pay for such treatment resulting in an uncertain cost and
timing.
6 Measuring risk
We started off our discussion of risk by reviewing what we had learned from prior studies of
financial economics. The emphasis in previous exams is on measuring risk – looking at the
variability of outcomes.
Now that we have an expanded view of risk it is perhaps helpful to have in mind a broader
quantification for measuring risk:
However, this quantification is also situation dependent in that the reaction of any one
stakeholder when faced with the same quantified risk will vary according to their:
risk appetite
objectives.
Question
(i) Outline why might different individuals have different appetites for risk.
(ii) Give examples of investors with differing objectives that make them perceive the same
risk in very different ways.
Solution
The risk of investing in a forest will be perceived very differently by an individual looking for a high
level of income compared to a charity that aims to combat global warming!
7 Managing risk
All is not doom and gloom! When faced with risks we might take two, very positive, viewpoints:
1. ‘Risk is an opportunity!’
2. ‘We can manage risk successfully!’
Risk as opportunity
A price can be put on many risks faced by individuals and organisations. Anything that can be
priced offers the opportunity to make trading profits.
For example, insurance is all about the assessment and pricing of risk. If the price at which one
party is happy to accept a risk is less than the perceived cost of the risk to a second party, the
opportunity exists for a risk transfer to the mutual satisfaction of both parties. Such differences in
perception are likely to be linked to different risk appetites.
Mitigating risk
Having correctly identified the risks to which we might be exposed, the next step (using the
approach given by the actuarial control cycle) is to consider how they might be mitigated. For any
that can’t be avoided or eliminated – and for many that won’t be possible – careful management
and monitoring will be required.
One way of reducing risk is to avoid exposure to it! However, the mitigation of risk can take many
forms. For example, the table below shows three risks that may have a financial cost to an
individual and how these risks could be mitigated.
Obviously these mitigation strategies are a matter of personal choice. Your own choices may be
very different!
Note that a mitigation strategy will change the level and/or nature of the risk but will rarely
eliminate risk. For example, the first and last strategies expose the individual to failure of third
parties. The second may or may not prove to be adequate, depending upon how long the
individual remains unemployed and the rate of increases in the cost of living.
Question
Use each of the above mitigation strategies to suggest how each of the following risks can be
mitigated:
the risk of poor investment performance to a life insurance company
the risk of terrorist attacks on aeroplanes to an individual.
Solution
Avoiding:
ceasing to write contracts with any investment guarantees
not flying by air to avoid the risk of terrorist action
Minimising:
designing a unit-linked insurance contract with investment guarantees that have an upper
limit
only flying from airports that meet an internationally recognised security standard
Sharing:
writing with-profit insurance contracts so as to share the investment risks with
policyholders
pooling resources with other travellers and hiring executive jets as a group so as to have
more direct control over flight security
Transferring:
using derivatives (eg options) to offset (or hedge) potential future losses from any
investment guarantees that are made or only offering unit-linked contracts under which
the policyholder accepts all of the investment risk
delegating all tasks that require travel by air to others!
We’ll look at the risk management process and strategies for mitigating risks in more detail later
in the course.
1. As you read each chapter, condense the key ideas onto a single or double side of A4 – you
will retain a lot more by doing this recap and it will come in handy for revision, as you will
not need to trawl all the way through the course again. Alternatively you can annotate
the summary pages from each chapter.
2. Make your study as active as possible – this means having a go at all the questions (you
will learn very little by just looking at the solutions) and annotating the notes with your
own comments as you work through.
3. Attempt the assignments – the students who pass the exams tend to be the ones who are
practising a significant number of questions in advance of the exam and getting some
regular feedback from markers.
4. Make sure that you work through all the relevant past exam papers (prior to 2019, this
exam was called Subject CA1). Practising these questions will be useful as preparation for
both Paper 1 and Paper 2. You need to start looking at exam questions early on in your
studies – don’t leave this until the last couple of weeks!
5. Make sure that each study session contains a range of activities to keep up your interest,
including:
reading new material
recapping old material
attempting questions.
The X Assignments include both Paper 1 and Paper 2 style questions to help you prepare for the
exam.
Paper 1
The Paper 1 exam is 3 hours and 15 minutes long. The questions are expected to be between
5 and 15 marks in length. This paper will primarily test knowledge and straightforward
application skills.
Paper 2
The Paper 2 exam is 3 hours and 15 minutes long. At the time of writing this course it is expected
that this will consist of 45 minutes of planning time and 2 hour 30 minutes of writing time. During
the planning time candidates can make notes and plan their responses but not write in the
answer booklet.
Paper 2 is expected to consist of one or two case studies. The case study will provide background
detail relating to a scenario and there will be various questions to answer. This paper will test
more difficult application and higher order skills.
Bookwork vs applications
Some of the exam questions may be based purely on bookwork, requiring you to remember a set
of ideas from the course material. However, it is more likely that the questions will be
applications based with Core Reading underlying them.
Applications questions require you to take one or more concepts from the Core Reading and
apply them to a specific situation.
Example
The general points to mention will come from the Core Reading on why companies require
capital.
The specific points to mention come from the words multinational and pharmaceutical company
in the question. For example, because the company is multinational it will have operations in
different countries, you need to think about currency risks. Because it is a pharmaceutical
company you need to think about its day-to-day operations:
research and development
purchasing stock
manufacturing drugs.
(Note that it’s quite normal not to be able to generate these thoughts if this is your first read
through of Chapter 0. They will hopefully come more naturally once you have finished the whole
course!)
When students go for exam counselling with the Institute and Faculty of Actuaries, they often find
that they are being either TOO GENERAL (and regurgitating Core Reading) or TOO SPECIFIC (and
forgetting the Core Reading altogether).
It is so important to develop techniques for generating ideas. Some of the things that successful
students have found useful for idea generation include:
Acronyms
Study
Hard
And
Practice
Exam questions
(Whilst acronyms are useful for generating ideas, be careful not to abuse them. Be discerning
about which points are relevant to the actual question.)
Tables
Diagrams
Attractive
features
Profitability
Marketability
Level or
increasing?
Competition
Guaranteed or
Capital
discretionary?
efficiency
Discontinuance
benefits?
As we saw in our previous example you can use the words in the question to help you generate
ideas, eg ‘multinational’, ‘pharmaceutical’.
Word Association
multinational currency risk
research and development, stock,
pharmaceutical
manufacturing
lack of data, lack of capital, lack of
small company
diversification
It may sometimes seem like an impossible task to generate enough ideas for the exam. It is
something that gets easier once you start practising questions (and see that there are common
themes that come up time and time again).
Adopting a bullet point style is great as long as you say just enough given the instruction word in
the question. This same concise style is appropriate in answering questions for both Paper 1 and
Paper 2.
Writing big, waffly paragraphs is not a good idea, as the distinction between your points will
become blurred – the harder your script is to mark, the less likely you are to get credit for ideas,
which you thought were distinct, but which the examiners cannot distinguish as they are buried in
a big long sentence (just like this one)!
If the question asks you to ‘List’ or ‘State’, then each point is almost certainly worth half a mark.
You just need to put the point down with no explanation.
For any of the other instruction words, such as ‘Describe’, ‘Discuss’, ‘Explain’ or ‘Outline’ you will
need to give a bit of detail, briefly explain why it is a relevant point or maybe give an example.
‘Discuss’ questions often require you to look at advantages and disadvantages.
Example 1
An exam question might say: ‘List the reasons for investing overseas.’
Example 2
An exam question might say:
Example
A life insurance company is about to enter the annuity market for the first time. It intends to
sell without-profit immediate annuities with higher annuities for those lives in ill health.
Describe how the actuarial control cycle can be used in the pricing and ongoing financial
management of the product. It is not necessary to discuss how the product might be
administered.
Although it will be difficult (especially on your first read through of the course), we recommend
that you have a go at answering this question, otherwise your study is likely to be passive and
ineffective. Some hints are given below.
Hints
It is helpful to start by highlighting the important features of the contract given in the question –
in this case a without-profit immediate annuity:
The customer invests a lump sum.
The life insurance company decides on the guaranteed amount of income to pay to the
customer, ie the annuity rate.
The annuity payments start immediately and cease on the death of the customer.
There are no benefits paid on other events, eg on surrender.
The best way to tackle actuarial control cycle questions is to consider each of the five stages of
the cycle in turn. Here are some things to think about at each stage:
Professionalism
What external issues should be considered? Think about what you would like to know
about the competition.
Why is the state of the economy potentially an issue?
Solution
Specifying the problem
Longevity risk will be transferred, as the annuity will be paid to the client regardless
of how long they live.
Investment risk (including credit and market risk) will be transferred, as the client
will receive a guaranteed income, irrespective of market conditions.
are competitive in the market place otherwise little business will be written
bearing in mind that the company is new in the market and has little or no experience of the
product.
The company will need a pricing (or profit testing) model that can project the future
development of this line of business in various circumstances. The model needs to be
developed or acquired, or an existing model modified.
The first stage in pricing the product is to determine the initial assumptions about future
experience.
The actuary will need to discuss the mortality basis with the underwriter to ensure that the
underwriting decisions are consistent with the pricing basis.
The actuary will need to discuss investment returns and the appropriate matching assets
with the investment managers ...
Judgement will need to be applied as to the extent of any margin for prudence included in
the reserving basis and/or whether capital requirements should be allowed for explicitly.
The assumed reserving basis and capital requirements will also be an input to the profit
testing of the product.
As this is a new development, the model will be run several times to test the sensitivity of
premium rates and profit emergence to changes in assumptions. This is important data to
have available for the monitoring stage.
The actuary should be mindful of compliance with relevant regulation and professional
guidance when pricing the product.
The actuary will take account of the commercial and economic environment when deciding
on the resultant rates, for example by comparing the resultant rates with those available
elsewhere in the market.
After the launch of the annuities the experience will be monitored regularly to determine
how it compares with the assumptions made at launch.
It may take time for significant volumes of data to build up, particularly if mortality
experience is being monitored by type of illness. The smaller the volume of business, the
greater the likely volatility of the experience.
If the experience differs markedly from the initial assumptions, revised assumptions may be
determined. The product will be profit tested once more, which may lead to a change in
premium rates. Deviations between experience and assumptions may also lead to a change
in the reserving basis.
Changes to the premium rates offered by competitors will also be monitored to ensure that
the rates do not become uncompetitive. This may also lead to a change in the premium
rates. The monitoring of the ill-health enhancements offered by competitors may be difficult
as the approach taken to grouping illnesses may vary significantly between companies.
It is possible that the company finds that it cannot offer premium rates that are both
competitive and profitable, in which case it may withdraw from the marketplace. If the rates
appear too competitive it may be an indication that the standard mortality assumption or
ratings used are inappropriate, or that the market is not competitive, in which case larger
profits can be made.
You will notice that the Core Reading solution structures the answer around the first three stages
of the actuarial control cycle. However, professionalism and the general economic and
commercial environment have been covered within the developing the solution stage.
Chapter 0 Summary
The actuarial control cycle
A fundamental tool for risk management.
Involves:
analysing situations, products and projects to understand risk exposure
quantifying consequences of risk events
determining appropriate approaches to risk management
monitoring situation and risk management procedures.