Exam Questions Flashcards
AA2Outline the key product design variations for critical illness benefits that you are likely to find in the market. [3]
PRODUCTS_CI; ASSA NOV 2022; Q5
- Accelerator, rider or stand-alone benefit✓✓
- May be a traditional non-profit product✓, indexed premiums or benefit✓ or UL product✓
- Tiered benefits✓✓ – variations in whether benefits are tiered or not✓, the number of tiers✓ and the differentials in sum assured in the tiers✓.
- Whether multiple reinstatements are permitted or not ✓✓
- Variations in the number and types of diseases covered ✓✓
- Cover terminating at different ages ✓✓
- Variations in definitions of diagnoses ✓✓
- Variations in deferred period ✓✓
- Speciality benefits✓ – women only✓, children’s benefit add-on✓, TPD✓/terminal benefit✓
ST1 April 2021 Q1(i) [11]
ST1 Sep 2022 Q4 (iii) & (iv) [12]
A student in the analytics team at a large health insurer is carrying out an analysis of experience on the previous year’s hospital claims using a generalised linear model (GLM). The student has developed two potential models. The two models are identical except for the second model having both income band and geographic location as additional factors.
(i) List two properties of the exponential family of distributions which make them particularly useful when using a GLM. [1]
(ii) Explain which two tests can be used to analyse the significance of the additional factors in the second model. [2]
(iii) List two other checks that should be carried out before including additional factors into a model. [1]
[4 marks]
F102 Nov 2015, Q2 [4]
ii.
o The distribution is completely specified in terms of its mean and variance.
[1/2]
o The variance of Yi (the response variable) is a function of its mean.
[1/2]
ii.
The two models are nested models.[1/2]
o Where the scale parameter is known[1/4], the χ2 test for the change in scaled deviance can be used.
[1/2]
o Where the scale parameter is unknown[1/4], the F statistic can be used as the ratio of the change in the deviance and the scale parameter estimate is distributed with an F-distribution.
[1/2]
iii.
o Consistency of the factor over time.
[1/2]
o Consistency of the factor with other factors.
[1/2]
You are an actuary working for a health insurer developing a new health insurance product that specifically focuses on primary healthcare.
iii.Explain the various benefit design structures that could be used to clearly define the benefit entitlement in this new primary healthcare insurance product. [3]
Products; ASSA JUNE 2023; Q5(iii)
Frequency design
This design limits the number of visits a policyholder can make to a primary healthcare provider✓✓, such as a GP or nurse practitioner✓, during a certain period, such as a year.✓
Depending on the budgetary constraints of the target market✓, the product can offer unlimited frequency of benefits✓, e.g. unlimited GP visits✓.
Monetary amount design
This design sets a limit on the total amount that the insurer will pay for primary healthcare services✓✓, such as GP visits or diagnostic tests✓, during a certain period✓.
Unit design
The design of the benefit needs to specify the unit of the benefit entitlement, which is typically “per life” or “per family”✓✓.
The design of the benefit also needs to be specific to the time period✓ of the benefit entitlement, which is typically “per annum”✓, but can also be “per lifetime”✓.
For example, 4 GP consultations per family per annum✓.
Co-payments/cost sharing
This design requires the policyholder to pay a certain percentage of the cost of a primary healthcare service✓✓, such as a GP visit or medication✓.
The co-payment can be expressed as a monetary amount✓, or it can be a percentage of the cost✓.
Scope of cover✓
Do the benefits include consultations✓…
…and/or medication✓…
…and/or minor in-room procedures✓…
…and/or basic pathology✓ and radiology✓.
The richness of the benefits can further be determined by the provider network ✓– the wider the network, the more accessible healthcare becomes✓.
Medical savings account
Some benefits may not be funded from risk element of the premiums, but rather by MSA✓✓.
Q&A 3.1 [4]
X3.1 (ii) [3]
The company will not have the same experience as the industry average, due to differences in such things as: ●
● ● ● ● ● ●
sales method and distribution channel target market
products or product features
level of any surrender values paid quality of after-sales service relative competitiveness company reputation.
[1⁄2] [Maximum 4] [1⁄2] [1⁄4 each, ,maximum 11⁄2]
Industry data will be a heterogeneous mix of the above factors, and the great variation in withdrawal experience between the different companies will make the industry average a very poor indicator of the level of withdrawals for any individual company.
[1⁄2]
Also, industry statistics may be wrong, unavailable, out of date or not presented in sufficient detail.
[1⁄2]
The effect of heterogeneity in the industry data can also give rise to spurious trends in experience observed over time, through changes in the mix of companies that comprise the industry statistics.
[1⁄2]
[Total 3]
ST1 S2010 Q2 [6]
ST1 April 2021 Q6 (ii) [7]
June 2022 Q7 (i)-(iii) [7]
A health insurer selling PMI policies has historically sold only individual policies through the use of independent intermediaries only.
As a second recommendation from the head of marketing, he suggests the company looks into expanding its policy base by selling to employer groups.
The insurance company currently has stringent and well-established managed care interventions in place, across its various benefit categories.
vii. Explain how the insurance company would have to tailor its managed health care interventions for group PMI business. [3]
MANAGED CARE_F101 NOV 2022; Q3 (vii)
- Hospital networks should be to evaluated in the areas in which large employers are based✓✓, ie need to have hospitals within a reasonable radius from the majority of employee base as part of the network✓.
- Specialist networks should be established/re-evaluated in the medical areas that the employees are most at risk of needing treatment from.✓✓
- o (This would also apply to Family Practioners (“GPs”) as well as pharmacy networks.✓✓
- Wellness days✓ (eg for preventative health screenings)✓ should rather take place at the workplace (employer)✓ than at the wellness day events target for individual policyholders✓.
- The wellness communications should be tailored to the specific characteristics of the employer✓, eg mining workers and call centre agents would have different health challenges✓.
- Could recruit a doctor/nurse to be based at the employers’ location to deal with employees’ medical problems as soon as they arise✓✓, or a tele-health solution✓ (eg virtual 24/7 nursing service)✓.
- Should try and extend managed care interventions to be put into practice for the employers themselves✓, eg minimum standards of health and safely within the workplace✓.
Company B is a health and care insurance company specialising in long-term CI insurance business.
Company B currently reinsures a significant proportion of its critical illness business to external reinsurers. For a number of years the total premiums paid to the reinsurers by Company B has been higher than the corresponding reinsurance recoveries.
The Finance Director of Company B has expressed concerns that reinsurance does not represent good value for money for Company B.
The Finance Director has asked an actuary to carry out an investigation into how
reinsurance impacts the profitability of Company B’s critical illness business.
Having reviewed the actuary’s investigation, the Finance Director has agreed that it is
appropriate to continue reinsuring a significant proportion of Company B’s critical
illness business to external reinsurers. The Finance Director has asked if there are any
actions which could be taken to improve the cost effectiveness of Company B’s reinsurance arrangements.
(iii) Suggest possible actions Company B could take to make its existing reinsurance arrangements more cost effective. [6]
Reinsurance; UK SEP 2020; Q5 (iii)
UK SEP 2020; Q5 (iii)
iii. Outline the advantages of the Tweedie distribution for modelling PMI claims data. (2)
GLM; ASSA NOV 2014; Q5 (iii)
Direct modelling of risk premium or incurred loss data✓ for PMI business is problematic since a typical pure premium distribution will consist of a large spike (ie a point mass) at zero✓✓ (where policies have not had claims)✓ and then a wide range of amounts (where policies have had claims)✓.
The Tweedie distribution is a special member of the exponential family✓ that has a point mass at zero✓ and corresponds to the compound distribution of a Poisson claim number✓ process and a gamma claim size distribution✓.
You work for an established Managed Care Organisation (MCO) and will be tendering to a large health insurer for a contract to provide their Managed Care interventions.
Identify four managed care interventions you can offer the insurer and explain how these will assist the insurer in managing its risk. [6]
MANAGED CARE; ASSA JUNE 2023; Q7 (ii)
Pre-authorisation of hospital admissions✓✓
o Providing a service that authorises (or not) all planned hospital admissions ✓✓
o Ensure that admission is covered within stated policy benefits ✓
o Ensure that applicable co-payments are levied; or if limits reached, that claims are not authorised ✓✓
o Communicate to both policyholder/insurer outcome of pre-auth ✓
o Ensure network hospitals used ✓
High-cost case management ✓✓
o Monitor and intervene in care of high-cost cases ✓
o Reduce wastage/unnecessary services/ensuring protocols followed ✓✓
o Assist with discharge planning ✓
o Communication of alternatives with family members ✓
o Setting of care management ✓
Preferred provider networks ✓✓
o Decide which hospitals, doctors, specialists, pharmacies to include in networks ✓✓
o Ensure policyholders aware, and only use DSP’s ✓✓– levy co-payments elsewise ✓
o Can secure volume discounts ✓
Treatment protocols ✓✓
o Set treatment standards for in- and out-of-hospital treatments ✓
▪ To ensure quality of care and reduce unnecessary care ✓✓
o Monitor adherence to protocols; intervene if not followed ✓✓
o Assists in managing costs ✓
Medicine formularies ✓✓
o For various classes of drugs; or diagnoses, specify specific drugs covered ✓✓
o E.g. generics where exists; ✓ alternatively members pay difference ✓
o Ensures appropriate medication at best price.✓
Alternative reimbursement arrangements✓✓
o Can contract with providers – negotiate tariffs/volume discounts, etc. ✓✓
o Risk sharing arrangements✓, e.g. capitation, fixed fees, per diem rates ✓✓
o Reduces incentives created by FFS/manages costs ✓
o Can incentivise quality – sharing in upside benefit (on risk-adjusted basis) ✓
Quality measurement and reporting ✓✓
o Across all Managed care interventions; monitor impact and report on key quality metrics ✓
o Analyse utilisation and performance by providers – across networks✓ – on risk-adjusted basis ✓
o Use results to intervene or amend contracting ✓✓
o Or update protocols, formularies, etc. to improve future experience ✓✓
= 4 X 1.5 marks
X2.3
A country has a well-established private health insurance industry that services approximately 20% of the population, while the balance relies on State facilities (which they can access for free). The Government is considering establishing Social Health Insurance (SHI) for employed people earning above a defined income threshold. It would be compulsory for individuals earning above the income threshold to contribute a defined percentage of their income to SHI. Individuals may elect to buy additional private health insurance cover for benefits in excess of those covered by SHI.
(i) Discuss whether the Government should provide the SHI benefits through its own health facilities or contract with private healthcare facilities, which offer a higher quality service. [4]
(ii) Discuss whether the SHI premium should be set as a fixed percentage of salary. [3]
[Total 7]
(i)
Own healthcare facilities
The feasibility of using State facilities to provide the SHI benefits will depend on capacity of State facilities …[1⁄2]
… and level of quality of care. [1⁄2]
Using State facilities means more control over costs and claims. [1⁄2]
In addition, it would avoid paying high prices (that lead to private industry profits). [1⁄2]
Lives that were previously not covered privately may perceive that they are paying for something they were getting for free in the past. [1⁄2]
Lives that previously had private health insurance are unlikely to want to use State facilities. [1⁄2]
However, SHI funds can be used to improve facilities. [1⁄2]
Private healthcare facilities
On the other hand, by contracting with private healthcare facilities, the SHI fund can benefit from:
- expertise and economies of scale in the private sector [1⁄2]
- competition between providers, and hence lower prices. [1⁄2]
Checks and controls would be needed to prevent abuse (eg overcharging for medical treatment). [1⁄2]
The capacity of the private sector capacity needs to be assessed in order to determine whether additional lives can be accommodated. [1⁄2]
A phasing approach can be used in which SHI benefits are extended to lower income groups by lowering the salary threshold over time. [1⁄2]
State facilities will need to continue to service the population that is not covered by SHI, or do not want to make use of private healthcare facilities. [1⁄2]
(co-existence)
(ii)
Setting the SHI premium as a fixed percentage for all income levels means that higher income earners pay more (in monetary terms) than lower income earners for same cover. [1⁄2]
This approach therefore creates large income cross-subsidies, … … but this may be socially desirable. [1⁄2]
The extent of these cross-subsidies will depend on income distribution of the country concerned. [1⁄2]
This approach could be modified by basing the premiums on a reducing percentage of salary, …[1⁄2]
… with a maximum absolute amount for the highest income earners (to make it more palatable for high income earners!) but still have some degree of cross-subsidy. [1⁄2]
It will also need to be considered whether the % is of total salary or salary above the threshold. [1⁄2]
The latter is “more fair” to avoid discontinuity for those moving from just below the threshold to just above it. [1⁄2]
Q&A 3.16 [5]
Target Health is a large and well-established health insurer. Target Health is considering the
acquisition of StarMed, a small health insurer. Both insurers offer PMI in various product options covering both in- and out-of-hospital.
iii. Explain how you would use a Generalised Linear Model to estimate the claims experience of Target Health after the acquisition.
[5]
GLM; ASSA NOV 2020; Q4 (iii)
- If there is an existing GLM built off of Target Health claims data, then this model can be used✓✓ alternatively a GLM model for Target Health claims data will need to
be built✓. - To do this:
- Collect claims data for Target Health policies✓ based on historical claims costs per benefit type✓ and per benefit option✓.
- Need to ensure the credibility of data per cell.✓✓
- Claims will need to be determined on a per life per month (PLPM) basis per benefit option.✓✓
- This is done by taken the total claims per cell and dividing by the exposure in that cell.✓✓
- If using historical claims data, may need to adjust claims costs✓ for inflation✓, runoff✓
and any benefit changes✓. - Identify the risk factors that need to be accounted for✓ (usually the ones to influence claims behaviour) such as age, gender and chronic status✓✓.
- The choice of GLM and link function needs to be reasonable and appropriate.✓✓
- A gamma model may be a good option for claim amounts.✓✓
- Running the GLM will give a set of factors per risk factor (age, gender, chronic status), benefit amount type and benefit option type.✓✓
- These factors can then be used to score StarMed members based on their risk factors and the option they have been mapped to.✓✓
- This will yield claims estimates for the StarMed members if they were on Target Health’s benefit options.✓✓
- These costs can be compared to the existing Target Health polices on that benefit option as well as compared to the expected premium income to determine the extent of a surplus/deficit.✓✓
- For accuracy sensitivity testing should be done, as well as a variety of scenarios determined.✓✓
ST1 S2010 Q3 [15]
An insurance company is considering entry to the group risks market for a wide range
of health and care contracts.
(ii) Describe the sources of medical information typically used in underwriting such a private medical insurance policy. [3]
(iii) Describe how a moratorium clause may be used to manage risk as an alternative to medical underwriting. [4]
(iv) Describe how the application of medical underwriting for health insurances differs for group policies as opposed to individual policies. [12]
Risks_UK ST1 2005 APR Q8 (ii)
- Questions answered on the proposal form completed by the applicant.✓✓
- Reports from medical doctors that the applicant has consulted✓✓, eg a PMAR✓.
- Medical examination carried out on the applicant at the request of the insurer✓✓. eg an exam carried out by a doctor or nurse appointed by the insurer✓.
- Specialist medical test on the applicant✓✓, eg an HIV test.✓
The last three sources will involve an additional expense for the insurer.✓✓ Hence the extent that they are used in a particular case depends on the extent of the loss that the insurer will make if it mis-estimates the state of health of the applicant.✓✓
i. List the disadvantages of the formula approach to pricing healthcare policies. [4]
ii. Discuss the appropriateness of using a formula approach for pricing the following policies:
a. An annually reviewable group PMI policy. [3]
- It does not allow for the proper timing of events.✓✓
- It does not allow for the accumulation of reserves.✓✓ In fact, reserves are ignored completely when using this approach.✓
- It does not properly allow for capital needs.✓✓ It is not possible to allow for the desired rate of return required by shareholders on their capital.✓ In effect we assume that any capital needed can be borrowed at the discount rate used.✓ This is important for capital implications.✓
- It does not allow for the impact of net negative cashflows in any period.✓✓
- It does not allow for separate inspection of premium-related cashflows or claim-related cashflows.✓✓ We cannot track expenses, claims, premiums etc separately each year.✓
- It does not allow easily for variation of assumptions over time.✓✓ The approach uses one fixed discount rate, whereas investment returns might vary over time.✓
- It does not allow for changes in the assumed future experience✓✓ and cannot be used to measure the sensitivity of profit to such variations.✓
- It cannot easily allow for more complicated product structures✓✓, eg UL✓.
ii.
The product is short term✓ in nature and annually reviewable✓. This means that a long-term projection of capital and solvency requirements is not necessary.✓✓
- Similarly, there shouldn’t be a need to vary assumptions✓✓ over the term of the policy given that it is a short-term product.
- While a lot of thought will go into calculating the expected level of claims, it is unlikely that the insurer will need to separately inspect the claims related cashflows.✓✓ Similarly, premiums will not vary over the course of the month given that it is a group product.✓✓
- Therefore, a formula approach could be utilized for pricing this type of product.✓✓
X2.4
Question X2.4
The health and care insurance industry in a small country has grown rapidly over the last ten years. The government, through its regulator, has decided to review the regulations that are in place to restrict the ways that health and care insurance companies operate. The main aim of the restrictions is to provide protection for the policyholders.
Describe the regulatory restrictions that could be imposed on health and care insurers, and discuss how they help to achieve the stated aim of consumer protection.
[9]
Solution X2.4 ●
A restriction on the types of contract, … [1⁄2]
… and/or the features, options and guarantees that a health and care insurance company can offer.
[1⁄2]
This may prevent companies from offering contracts that are not suitable for policyholders, or for which the company is not able to support.
[1⁄2] ●
Restrictions on the premium rates, or charges, that may be used for some types of contract.
[1⁄2]
A maximum rate of premium will help to ensure that products do not give poor value for money.
[1⁄2] ●
Some or all of the pricing assumptions might be specified, again to ensure value for money.
[1⁄2]
A minimum premium will help protect the financial security of the company and hence the security of its policyholders.
[1⁄2] ● Requirements relating to the terms and conditions of the contracts, … … for example the claim definitions to be used. ● Restrictions on sales channels that can be used, … [1⁄2] [1⁄2] [1⁄2]
… or requirements on the procedures that should be followed or information that must be given when a sale is made.
[1⁄2] [1⁄2]
This will help policyholders understand the product that they are buying and ensure that the most appropriate type of product is sold to the customer.
It may also expose costs or charges that the policyholder will have to pay and so enable the policyholder to choose the product that gives the best
Restrictions on the ability to underwrite, … [1⁄2] … for example a prohibition on the use of the results of genetic testing. This will help prevent policyholder discrimination. ● A constraint on the amount of business that may be written, … [1⁄2] [1⁄2] [1⁄2]
… possibly by using a minimum solvency margin that depends on the level of business, …
[1⁄2]
… which itself may be a function of specified reserving methods and/or assumptions. [1⁄2]
This will help protect the financial security of the company and hence the security of its policyholders.
[1⁄2] ●
Restrictions on the types of asset that may be used to demonstrate solvency, … [1⁄2]
… or the amount of any particular asset that may be used for this purpose. [1⁄2]
This restriction could prevent or limit investment in very high-risk assets and so reduce the risk of insolvency.
[1⁄2]
It could also prevent over-concentration in a particular class or sector and this will also reduce the risk to the policyholder.
●
Conditions might be imposed on the persons who are allowed to become directors of health and care insurance companies.
[1⁄2] [1⁄2]
This would help to protect policyholders from the effects of unsound management. [1⁄2]
●
Companies could be required to contribute to a security fund from which policyholders could be compensated for malpractice.
[1⁄2] [Maximum 9] ©
ST1 2019 Q6 [11]
You are an actuary working for an insurer selling long-term care insurance (LTCI) policies.
i.Describe various benefit design features of LTCI products that can assist the insurer with managing the claims risk associated with these products and
how they may impact marketability. [5]
PRODUCT DESIGN; ASSA JUNE 2023; Q3
For indemnity products✓, have agreements in place with providers of care✓.
May limit choice for policyholders for carers and settings of care✓, reducing marketability✓
- Offering cash not indemnity benefits✓✓
Indemnity is likely to be very expensive✓ given the uncertain increases in cost of care✓ – especially if specialised/nursing care✓ is covered.
Policyholders will prefer indemnity, however, this would make the products prohibitively expensive, so cash benefit products may still be marketable.✓✓
- Having a deferred period✓ – the longer the deferred period, the less the risk✓, however, may leave policyholders vulnerable during the deferred period✓
- Limited payment term after inception✓ – may be very unpopular✓ – vulnerable policyholders after term elapsed✓
- Definitions of incapacity✓ – the more stringent, the less the risk✓,
o However, significant negative impact on marketability if too stringent✓. - Unit-linked designs✓✓
o Transfers some/all investment risk to policyholder✓
Depending on fund protection and or guarantees✓✓
o Policyholders may find unit-linked options attractive as it acts like a savings policy in case they don’t claim✓✓
o However, these will be very complex✓ – charges, investment funds, returns✓✓, etc. – which may impact marketability✓
o Also, risk of policyholder not understanding their risks✓, i.e. the impact of risk charges reducing unit fund value✓; and negative press✓ may affect future marketability✓
o Level of unit fund protection✓ – lower (or no) fund protection significantly reduces the risk to insurer✓, and marketability reduced✓
Policyholders value the security of knowing some of their investment is protected✓✓
o Knowing fund value may be depleted if risk charges exceed investment returns✓✓, and that there is even a risk of cover lapsing in the absence of guarantees if fund value becomes exhausted✓ – will impact marketability✓
However, insurer may offer a guarantee that cover will not lapse if fund becomes depleted✓ – added risk✓, but added marketability✓ and better match to policyholders’ needs✓.
Company B is a health and care insurance company specialising in long-term critical
illness insurance business.
Company B currently reinsures a significant proportion of its critical illness business
to external reinsurers. For a number of years the total premiums paid to the reinsurers
by Company B has been higher than the corresponding reinsurance recoveries. The
Finance Director of Company B has expressed concerns that reinsurance does not
represent good value for money for Company B.
The Finance Director has asked an actuary to carry out an investigation into how
reinsurance impacts the profitability of Company B’s critical illness business.
(i) Discuss how the actuary could carry out this investigation.
[7]
Reinsurance; UK SEP 2020; Q5 (i)
Reinsurance; UK SEP 2020; Q5 (i)
A student in the analytics team at a large health insurer is carrying out an analysis of experience on the previous year’s hospital claims using a generalised linear model (GLM). The student has developed two potential models. The two models are identical except for the second model having both income band and geographic location as additional factors.
(i) List two properties of the exponential family of distributions which make them particularly useful when using a GLM. [1]
(ii) Explain which two tests can be used to analyse the significance of the additional factors in the second model. [2]
(iii) List two other checks that should be carried out before including additional factors into a model. [1]
[4 marks]
GLM; ASSA NOV 2015; Q2
i.
o The distribution is completely specified in terms of its mean and variance.✓✓
o The variance of Yi (the response variable) is a function of its mean.✓✓
ii.
The two models are nested models.✓
o Where the scale parameter is known✓, the χ2 test✓ for the change in scaled deviance✓ can be used.
o Where the scale parameter is unknown, the F statistic can be used✓ as the ratio of the change in the deviance✓ and the scale parameter estimate✓ is distributed with an F-distribution✓.
iii.
* Consistency of the factor over time.✓✓
* Consistency of the factor with other factors.✓✓
Outline two methods used to provide dental insurance and briefly explain how dental insurance might be underwritten. [5]
ST1 S2008 Q5
The principal methods are:
Capitation basis [½]
This is the practice of charging for cover by forecasting the likely claims on an individual basis and charging this, adjusted for expenses and profit, as the premium.
[½]
In effect, the insurance company “carves out” dental claims and passes this risk onto the provider, by giving a proportion of the insurance premium for each person managed to the dentist up-front rather than an amount per claim.
[½]
The dentist estimates the cost for each patient.
[½]
Risk to the dentist is twofold: the number of patients requiring treatment may be higher than expected [½]
and the cost of treatment increases faster than expected.
[½]
Indemnity basis [½]
The insurer covers pound for pound the treatment delivered .
[½]
subject to any excess or policy limits [½]
Insurers work closely with dentists to ensure that applicants are screened initially for pre-existing conditions
[½]
or imminent treatment
[1/4],
and to ensure that dental intervention thereafter is in accordance with risk
expectation. [½]
You are an actuary working for a health insurer developing a new health insurance product that specifically focuses on primary healthcare.
ii.List 8 potential benefits that could be included in this new product. [4]
CH 5; ASSA JUNE 2023; Q5 (ii)
- General Practitioner consultations.
- Dentistry benefits (consultations and minor treatments).
- Eye care benefits (consultations, tests, lenses, frames).
- Preventive healthcare services, such as vaccinations and health screenings.
- Wellness programs, such as nutrition counselling.
- Chronic disease management, such as diabetes and hypertension management.
- Maternal and child healthcare services, including prenatal care and paediatric care.
- Mental health and behavioural health services, including counselling and therapy sessions.
- Telehealth services, including virtual consultations with healthcare professionals.
- Home healthcare services, including nursing care and rehabilitation services.
- Prescription drug coverage, including generic and brand-name medications.
- Basic radiology such as X-rays.
- Pathology such as blood tests.
- Rehabilitation services, including physical therapy and occupational therapy.
- Alternative medicine services, including acupuncture and chiropractic care.
- Health education and counselling services, including smoking cessation and stress management.
- Minor procedures in the General Practitioner’s room.
0.5 each, max of 8.
X2.5(i)
Explain the ways in which State healthcare provision can be more comprehensive than healthcare cover provided by insurers. [4]
The key here is to identify what the State can do that insurers find difficult, impossible or are unwilling to do.
A State system can provide care and treatment for both acute and chronic conditions. [1⁄2]
An insurer will find it difficult to cover chronic conditions because of the very high expected claims costs. [1⁄2]
A State system can allow cross subsidy between individuals. The expected costs of an individual’s benefits could therefore be significantly greater than what would be expected given his or her contributions. [1⁄2]
Insurers can only allow cross-subsidy to a limited extent, especially in a competitive market. [1⁄2]
A State system can make a “loss”, provided this can be funded from tax revenues or other sources. [1⁄2]
If insurers sell products at a loss, this can only be in the short term. [1⁄2]
A State system can provide benefits for those whose current state of health would make them uninsurable (eg those with genetically-related illnesses, or with HIV). [1⁄2]
Insurers would usually need to refuse insurance to such cases because of the high expected claims cost. [1⁄2]
A State system can provide cover for those who have dangerous jobs (eg those in the fire service). Insurers might find it necessary to quote special terms for such people. [1⁄2]
A State system can provide accident and emergency services. [1⁄2]
Insurers may impose conditions, such as pre-authorisation and/or preferred provider arrangements, that would make it impractical (or impossible!) to cover accident and emergency services. [1⁄2]
A State system can provide benefits for individuals who would not be able to afford to purchase insurance themselves. [1⁄2]
ST1 S2008 Q7(i)-(iii) [10]
A large health and care insurer is considering launching a new individual stand-alone critical
illness product with a 28-day survival period. You are the pricing actuary tasked with setting
the premium rates for this new product.
i. State the general formula you would use to determine the risk premium for this product,
defining all notation used. [2]
ii. Discuss briefly the impact of the survival period on the expected claims from this product
over time. [2]
Pricing - Individual Business; ASSA JUNE 2021; Q6 (i) & (ii)
(i)
RPx = (SA) * (ix) * (rx) ✓✓
Where:
SA = Sum assured, ✓
RPx = Risk premium for a life aged x ✓
ix = incidence rate across all conditions (sum of individual incidence rates) for age x ✓
rx = probability of surviving the survival period; ✓✓
i.e. the 28-day survival rate given a diagnosis of a CI for age x.✓
ii)
- Total claims are expected to reduce.✓✓
- By the proportion of people expected to die within 28 days of diagnosis.✓✓
- However, with the improvements in diagnostic technology and treatment.✓✓
- It is expected that fewer and fewer people will die over time within the survival period.✓✓
A new disease has been resulting in increased hospital admissions and is causing an increase in observed in-hospital mortality. As an analyst for a healthcare research firm, you want to understand the demographic and clinical drivers of in-hospital (IH) mortality for the cases affected by the new disease.
i. Suggest a type of GLM that would be best suited to model IH mortality, the reason why it would
be appropriate, and give the link function. [3]
GLM; ASSA NOV 2021; Q1 (i)
i)
- Logistic Regression [1/2]
- Mortality is a binary outcome [1/2], logistic regression models such 0,1 outcomes well [1/2]
Link function:
linear predictor, η(x) = ln( μ / (1 - μ ) ) [1/2]
…otherwise stated: g(μ) = ln( μ / (1 - μ ) ) [1/2]
ST1 S2008 Q7 (i)-(iii) [10]
X2.7 (ii) [10]
A particular territory has recently experienced an epidemic, starting in 2020. The resultant impact on the PMI claims experience for the industry shows significant shifts in claim patterns over the past two years.
The Board of a large PMI insurer is deliberating their financial results of the past three years in order to determine their strategic direction over the medium term.
Lower than expected claims experience has resulted in the insurer generating additional profits in both the 2020 and 2021 financial years. The Board is now considering its options for the application of these profits.
ii. Outline the various options that the insurer has for the application of these profits. [4]
FINANCIAL DECISIONS; ASSA NOV 2022; Q6
- The insurer can use the savings to implement lower premium increases over the coming few years, ✓✓ i.e.
subsidise premium increase✓ to stay attractive and to keep policyholders happy ✓,
or potentially decrease premiums✓ (depending on what competitors are doing)✓ - The insurer can improve benefit richness ✓✓
i.e. offer additional benefits✓ or higher limits✓ or lower co-pays✓ - The insurer may retain the savings as a capital buffer✓ in case experience worsens after the epidemic✓ ,e.g. likely pent-up demand for elective surgeries✓ – so additional reserves to fund these makes sense✓.
- The surplus can be applied to grow the business✓✓ – allow for the new business strain of selling more policies✓
- Other strategic initiatives✓ (mergers/acquisitions/new products)✓✓ may be pursued
- Screening/wellness benefit enhancements✓ – due to many seemingly having foregone primary healthcare✓ and may be in poorer health than they are aware of✓,
- and to try and prevent further downstream catastrophic healthcare costs ✓✓
- The profits may be distributed to the shareholders – or part thereof distributed (declaring a dividend).✓✓
- Part of the profits can be distributed to staff/management in the form of bonuses.✓✓
Think of PHs, SHs, staff and growth
X2.2
You are developing a personal accident product for a mining company. The company would like to offer the policy to employees on a voluntary basis to provide cover in the event of accidents outside of the work environment. The policy will be priced on an age-at-entry basis, and will cover the employee to the normal retirement age.
(i) Describe the benefits that would be included under this policy. [3]
(ii) List the risk factors that would be considered in pricing the product and discuss how this policy would be underwritten. [4]
[Total 7]
(i)
Benefits to include
The sum insured should be linked to the salary of employees, eg it may be a multiple of salary. [1⁄2]
A clear definition of an accident is needed, [1⁄2]… … and this definition should be clearly explained in the policy documentation. [1⁄2]
A table of benefits will set out the percentage of sum insured for different injuries (eg loss of limb, sight etc). [1⁄2]
A full payment of the sum insured for total disability and/or a full payment for death may be included. [1⁄2]
Benefits may also include
* medical expenses (if allowed) [1⁄2]
* cover for spouse and other dependants. [1⁄2]
(ii)
Risk factors that may be used in determining the premium include:
* age
* gender
* job description
* dangerous pursuits. [1⁄4 each, total 1]
These risk factors may be used to assess the risk profile of the employees and to determine broad risk categories to be used for differentiating premiums. [1⁄2]
Premiums can also be differentiated by employment category, eg full time, part time. [1⁄2]
Underwriting
Since it is voluntary, employees may choose whether or not to take out cover, therefore there is a risk of anti-selection. [1⁄2]
However, since the benefit is only paid in the event of accidental disability (or death), the risk of anti-selection is reduced. [1⁄2]
Extensive underwriting will be expensive, as these costs may be high relative to the premium rates for accident cover, [1⁄2]…
… which are expected to be low compared to other health and care insurance products). [1⁄2]
Therefore underwriting is likely to be relatively simple and not too intensive. [1⁄2]
Possible options for underwriting and acceptance include:
* a declaration of health by the applicant [1⁄2]
allowing employees to enter with no underwriting when first employed by the mining company (but not subsequently) [1⁄2]
a short medical questionnaire including questions relating to risky leisure activities (eg sky diving), assuming they are not excluded from the policy. [1⁄2]
Loadings can then be applied to employees that pose significantly higher risks. [1⁄2]
A health insurer selling PMI policies has historically sold only individual policies through the use of independent intermediaries only.
The head of marketing suggests the company looks into expanding its policy base by selling to employer groups.
iii. Explain the difference between worksite marketing & employer-sponsored group PMI business. [2]
iv. Explain the advantages for the insurance company of expanding its policy base to include group PMI business in addition to its existing individual PMI business. [3]
DISTR CHANNELS; ASSA NOV 2022; Q3
iii.
* Group PMI involves the sale of a single policy to the employer.The employer, as policyholder, purchases the insurance protection for the employees, on their behalf.✓✓
* In worksite marketing, the workplace is being used as a convenient way of accessing a large number of potential individual clients.✓✓
o Those who do buy policies will have invidual contracts with the insurance company; they will pay the premiums✓✓ and the contract will exist independently of whether or not they remain in that particular employment.✓
* Under a group PMI contract it is unlikely for any employee to remain covered by the insurance once they have left that employment.✓✓
iv.
It diversifies the risk pool✓✓, for example, the company could get exposure:
o In different economic sectors of the market✓
o In different geographic regions✓
o Of active workforce members✓
▪ who are generally in good health✓
▪ and of a pre-pensioner age✓
* It reduces anti-selection✓ and thereofore reduces claims risk✓
o In individual PMI business, it is the broker/customer who is ‘initiating the sale’✓, ie voluntarily selecting a policy contract that is in their best interest✓.
o This is contrasted against group PMI where the employer selects the group cover for its employees✓, which is often a condition of employment✓ (ie a strong element of compulsion), thereby significantly reducing anti-selection risk✓.
A small health and care insurance company is considering launching a new group Private Medical Insurance (PMI) product. The insurer has asked reinsurance
companies to provide detailed quotations for reinsurance cover for this product.
Set out the information that the insurer is likely to request to be included in the quotations submitted by the reinsurance companies. [10]
Reinsurance; UK APR 2021; Q2 (ii)
UK APR 2021; Q2 (ii)
ST1 Sep 2021 Q4 (ii) & (iii) [7]
ST1 2019 Q7 [9]
J2018 Q2 (i) [8]
A large health insurer writes critical illness cover. You are a consulting actuary and have been
asked to make recommendations to the insurer with respect to obtaining reinsurance cover.
i. Describe reasons why the insurer may choose to reinsure their business. [5]
REINSURANCE; ASSA JUNE 2022; Q5 (i)
i.
limit exposure to risk✓…
* …if the book of business is new✓ or the insurer is new to writing this type of risk✓ they may want to limit their exposure initially to each risk (QS or individual surplus/XoL✓)
* Or on the overall book✓ – stop loss/aggregate XoL✓
* …any changes in the burden of disease✓ may mean greater uncertainty for the insurer so they may wish to limit the risk through reinsurance✓
Avoid large single losses✓…
* …increased burden of disease✓ or new technologies✓ or pandemic effects (i.e. long COVID)✓ may influence claim trends✓
Smooth results✓…
* …while the insurer is large, the critical illness book could be small and/or new ✓✓…
* …this means higher variability in experience✓
Provide expertise✓✓ …
* …especially if new to the market or significant market changes✓✓
Increase capacity to accept risk✓…
* …increased capacity helps the insurer write a variety of business✓
* … or larger risks✓ than it would otherwise be happy to accept
* …niche market✓
* …group versus individual ✓
Provide financial assistance✓…
* …e.g. reinsurance commissions✓
Notes, Question 12.13
List the elements of physical cashflow that you would expect to see in a profit test (pricing) model of the following contracts, identifying clearly which elements are income and which are outgo:
(i) a regular premium conventional stand-alone critical illness policy.
[2]
Income: premiums, interest. ✓✓✓
Outgo: expenses, commission, expected claim costs, tax. ✓✓✓✓✓
ST1 A2015 Q6 [15]
ii. State the assumptions of a classic linear model. [2]
iii. Outline the advantages of the GLM over the classic linear model. [4]
GLM; ASSA NOV 2017; Q2 (ii)
ii.
Assumptions of the classic linear model:
* Error terms are independent and come from a normal distribution (√√)
* Mean is a linear combination of the explanatory variables (√)
* Error terms have constant variance (homoscedasticity) (√)
iii.
GLM advantages over the classic linear model:
* More general than just the Normal Distribution as a GLM can take on any distribution from the exponential family e.g. Poisson, Gamma, Tweedie (√√)
* Using a Link function, can take account of the multiplicative nature of explanatory variables and their effects and transform them to linearity, as opposed to a classic linear model which assumes the effects of the explanatory variables are additive. (√√)
* The variance of the response variables (Yi’s) is a function of its mean (√) and can often increase with the value of its mean (√) e.g. the Poisson distribution (√) and as is usually the case when modelling claim amounts)(√)
ST1 Sep 2022 Q5 (ii) [6]
ASSA J2017 Q4 [12]
You are a pricing actuary working at the life insurer, CIRUS Life, which currently sells various
life benefits in the market. Among them are two versions of Critical Illness (CI) benefit, namely:
- ‘Comprehensive CI’, a stand-alone CI benefit covering over 100 different serious conditions/illnesses.
- ‘Light CI’, a rider CI benefit to their Death Benefit, covering 20 different serious conditions/illnesses.
i. You’ve noticed that the incidence rate of the rider CI benefit is significantly lower than the
stand-alone CI benefit when looking over CIRUS Life’s claims experience for the past 5 years.
ii. Discuss possible reasons for the significantly lower claims incidence. [4]
CI; ASSA JUNE 2022; Q3 (ii)
- The Light CI does not cover as many conditions/illnesses as the Comprehensive CI and so we would expect the claim incidence to be lower.✓✓
There may be a sense of lethargy✓ in claiming as policyholders are not as aware✓ of the rider benefit as they are of the stand-alone✓ since the main benefit purchased was the death benefit✓.
There may be an element of anti-selection in the stand-alone CI benefit✓ as policyholders who are more likely to claim (past family history)✓ would want to take out this cover.
This is made worse if the underwriting measures of CIRUS Life are not adequate to screen for these sorts of risks✓✓ (for example ask questions about family history)✓.
This may not be present in the rider benefit as the main intention of taking out the cover is the death benefit.✓✓
It may be purely chance that the risk profiles differ and that the Light product has healthier individuals than the Comprehensive✓✓ – however, unlikely given the product features✓.
Survival period in the Rider benefit may result in claims not being admitted that would otherwise happen if the Standalone benefit doesn’t have a survival period.✓✓
Mortality experience has been higher than expected on the rider population which results in deaths occurring before expected CI events.✓✓
X3.3 (i) [5]
The model must be valid and sufficiently rigorous for the purposes to which it will be put, and adequately documented.
[1⁄2]
The model points chosen must be such as to reflect adequately the distribution of the business being modelled.
[1⁄2]
Alternatively, the company’s actual policy data file could be used, provided the software was able to handle the computations effectively.
[1/4]
The components of the model must allow for all those features in the business being modelled that could significantly affect the advice being given.
[1⁄2]
The parameter values chosen should be appropriate to the business being modelled …
[1⁄2]
… and take account of the special features of the company and the economic and business environment in which it is operating.
[1⁄2]
The model should exhibit sensible joint behaviour of model variables.
[1⁄2]
The workings of the model should be easy to appreciate and communicate. The results should be clearly displayed.
[1⁄2]
The outputs from the model should be capable of independent verification for reasonableness
[1⁄2]
…and should be readily communicable to those to whom advice will be given. [1⁄2]
The model should not be overly complex so that either the results become difficult to interpret and communicate, …
[1⁄2]
… or the model takes too long or becomes too expensive to run.
[1⁄2]
Any shortcomings of the model should be clearly stated.
[1⁄2]
The model should be capable of subsequent development and refinement.
[1⁄2]
A large health and care insurer currently writes a range of Health and Care products.
Discuss the main types of reinsurance that may be appropriate. [13]
Reinsurance; UK APR 2020; Q3
UK APR 2020; Q3
A health insurer selling PMI policies has historically sold only individual policies through the use of independent intermediaries only.
As a second recommendation from the head of marketing, he suggests the company looks into expanding its policy base by selling to employer groups.
iii. Explain the difference between worksite marketing and employer-sponsored group PMI business. [2]
iv. Explain the advantages for the insurance company of expanding its policy base to include group PMI business in addition to its existing individual PMI business.
[3]
DISTR CHANNELS; ASSA NOV 2022; Q3 (iii)
iii.
* Group PMI involves the sale of a single policy to the employer✓✓. The employer, as policyholder✓, purchases the insurance protection for the employees✓, on their behalf.
* In worksite marketing, the workplace is being used as a convenient way of accessing a large number of potential individual clients.✓✓
o Those who do buy policies will have invidual contracts with the insurance company✓✓; they will pay the premiums✓ and the contract will exist independently of whether or not they remain in that particular employment✓,
* Under a group PMI contract it is unlikely for any✓ employee to remain covered by the insurance once they have left that employment✓.
iv.
* It diversifies the risk pool✓✓, for example, the company could get exposure:
o In different economic sectors of the market✓
o In different geographic regions✓
o Of active workforce members✓
▪ who are generally in good health✓
▪ and of a pre-pensioner age✓
It reduces anti-selection✓ and thereofore reduces claims risk✓.
o In individual PMI business, it is the broker/customer who is ‘initiating the sale’✓, ie voluntarily selecting a policy contract that is in their best interest✓.
o This is contrasted against group PMI where the employer selects the group cover for its employees✓, which is often a condition of employment✓ (ie a strong element of compulsion)✓, thereby significantly reducing anti-selection risk✓.
X2.6
(i) Discuss the advantages and disadvantages
[9] of the following alternative
commission structures, as means of remunerating intermediaries for the sale of health and care insurance business:
(a) level commission in each year except the first, in which a significantly higher commission is paid
(b) level commission paid in every policy year, including the first. [5]
(ii) Describe any ways in which the difficulties for either or both of the above commission structures might be reduced.
[5]
Total [10]
[10]
Solution X2.6 (i)
Comparing the two commission structures
Method (a) reflects more closely the effort put in by the intermediary, who puts in most work to sell a new policy, and less work to get it renewed.
[1⁄2]
This will probably be popular with intermediaries who will therefore be encouraged to sell your policies.
[1⁄2]
Method (a) will encourage intermediaries to sell new policies, which may match the insurer’s aims and targets for the volume of sales.
The lack of new-business incentive under method (b) may deter sales and could be a significant problem for this method.
Method (b) will automatically reward the intermediary according to the duration of the policy (whether a long-term policy for a fixed number of years or a short-term policy that is renewed for a number of years), …
… this should reflect the total profit contribution of the policy to the insurer … [1⁄2]
… whereas in (a) the initial commission would have to be variable according to policy term to make it fairer (though this would not be difficult to do).
[1⁄2] Method (b) puts more emphasis on renewal, which should help persistency. [1⁄2]
Under (a), policies that lapse early are not likely to have recouped the cost of the initial commission paid out, …
[1⁄2] … which could cause significant losses for the insurer if persistency is poor. [1⁄2]
Poor persistency could therefore create significant problems for the insurer under method (a).
[1⁄2]
The high initial commission under method (a) also worsens the financial strain incurred on new business, …
[1⁄2] [1⁄2] [1⁄2] [1⁄2]
… because this leaves less money available to cover the supervisory reserves and solvency capital that will have to be set up.
(ii) Improving the structure
No method will be of any use unless intermediaries sell the insurer’s policies, so method (b) will generally be improved by introducing higher commission in the first year, which turns it into method (a)!
[1⁄2] To address the persistency problem, commission clawback could be introduced. [1⁄2]
This means that, if a policy lapses during a specified period from issue (eg within the first three policy years), a proportion of the initial commission has to be repaid to the insurer.
The amount repaid will be proportionate to the length of the specified period (the earnings period) that is outstanding at the date of lapse.
This reduces the loss to the insurer on early lapse, … [1⁄2] [Maximum 5] [1⁄2] [1⁄2] [1⁄2]
… and further encourages the intermediary to look after his or her clients more carefully, so (hopefully) reducing lapse rates as well.
[1⁄2]
The default of an intermediary will mean that any subsequent or outstanding commission clawback on business already written will not be honoured; but this is still less of a problem than without clawback in the first place.
[1⁄2] This risk might be reduced by carrying out credit checks on the intermediaries. [1⁄2]
Well capitalised companies may be happy to incur the strain provided that a suitable return on that capital can be achieved.
[1⁄2] Another alternative is to issue single premium contracts, … … in which case lapse will be much less of an issue, … … and capital strain will also be significantly improved. [1⁄2] [1⁄2] [1⁄2]
The disadvantage of this is that they may not meet policyholders’ needs, and so might not be marketable.
[1⁄2] [Maximum 5]
A health insurer has a coinsurance (original terms) arrangement with its reinsurer on its portfolio of term Critical Illness (CI) policies. The CI policies pay out if the insured suffers a severe illness within a 20-year term from inception of the policy and do not carry any surrender or maturity values.
(iii) Explain why a deposit back arrangement is unlikely in this instance. [2]
REINSURANCE; ASSA NOV 2022; Q2 (iii)
In this instance the reserve is likely to be small✓✓ since the CI policies do not carry any surrender or maturity benefits✓ (there is no savings element)✓ and are term policies✓. The benefit therefore of depositing back a proportion of the small reserve is therefore limited.✓
And may result in more costs✓, paperwork, admin✓ which outweighs the advantages✓ of having a deposit-back arrangement.
ST1 Apr 2020 Q5 [12]
You are a pricing actuary for a health insurer and have been asked to evaluate the impact of medical advances on the experience of the insurer’s without-profits critical illness book.
i.Explain how improvements in diagnostic technologies might impact your valuations. [4]
GENERAL ENVIRONMENT; ASSA JUNE 2023; Q1
This could have a number of effects on the experience:
The main effect of earlier diagnoses resulting from improvements in diagnostic technologies would be earlier payment of benefits✓✓, which would worsen the experience✓. This is because policyholders would receive the lump sum payout earlier✓, and the insurer would have to pay out the benefit for a longer period✓ (if there is an annuity portion)✓.
Potentially more policies which are claimed on✓ in absolute terms, as some people may not have otherwise been diagnosed✓, again worsening the experience✓.
For tiered benefits✓, earlier diagnosis would mean that the severity of claims would be reduced✓, potentially resulting in better experience✓.
This is because policyholders would receive a lower lump sum pay-out for less severe illnesses✓, and the benefit would be paid out earlier✓. If treated and prevented from worsening to stages triggering higher pay-out, further improvement in experience can be expected✓✓.
However, for non-tiered benefits, this would mean that claim sizes remain the same✓, but with earlier payments✓.
As a result, reserves might be insufficient to cover the payment.✓✓
It would also mean that the experience would be worse than before.✓✓
UNLESS, claims definitions require greater severity✓ – then diagnostic technology would actually reduce claims incidence rates if early diagnosis translates into successful treatment✓✓.
Leading to the number of cases reducing rather✓.
The overall result on a non-tiered benefit structure would thus depend on the claims definitions✓✓.
For tiered benefit structures, there would also likely be a worsening at lower benefit levels.✓✓
i. Explain how a Generalised Linear Model differs from ordinary least squares regression.(2)
GLM; ASSA NOV 2014; Q5 (i)
In the same way as ordinary least squares regression, a GLM can be used to model the behaviour of a random variable that is believed to depend on the values of several other characteristics√.
The generalised linear model (GLM) is a flexible generalisation of ordinary least squares regression√.
The GLM generalises linear regression by allowing the linear model to be related to the response variable via a link function√ and by allowing the magnitude of the variance of each measurement to be a function of its predicted value√.
ST1 A2019 Q2 [12]
F102 Nov 2015, Q1 [5]
S2017 Q5 (ii)
i. List the disadvantages of the formula approach to pricing healthcare policies. [4]
ii. Discuss the appropriateness of using a formula approach for pricing the following policies:
b. A term critical illness (CI) policy with an underwriting-free renewal option after 10 years. [3]
- It does not allow for the proper timing of events.✓✓
- It does not allow for the accumulation of reserves.✓✓ In fact, reserves are ignored completely when using this approach.✓
- It does not properly allow for capital needs.✓✓ It is not possible to allow for the desired rate of return required by shareholders on their capital.✓ In effect we assume that any capital needed can be borrowed at the discount rate used.✓ This is important for capital implications.✓
- It does not allow for the impact of net negative cashflows in any period.✓✓
- It does not allow for separate inspection of premium-related cashflows or claim-related cashflows.✓✓ We cannot track expenses, claims, premiums etc separately each year.✓
- It does not allow easily for variation of assumptions over time.✓✓ The approach uses one fixed discount rate, whereas investment returns might vary over time.✓
- It does not allow for changes in the assumed future experience✓✓ and cannot be used to measure the sensitivity of profit to such variations.✓
- It cannot easily allow for more complicated product structures✓✓, eg UL✓.
ii.
- Critical illness products do not have significant capital requirements.✓✓
- And given the low incidence of claiming they are unlikely to have significant reserving requirements.✓✓
- The product has a simple trigger, and a defined sum assured.✓ Therefore, the claims-related cashflows do not necessarily require detailed inspection.✓
- However, given the longer term nature✓ of the product it may be necessary to consider how assumptions change over time✓.
- In addition, the option to continue cover without underwriting✓ requires a more detailed approach✓ to consider the impact of the option and of anti-selection✓. More sophisticated techniques required for pricing options✓, e.g. stochastic modelling, conventional method or North-American method✓.
- Timing of event✓ (if happens at all)✓ is important.
- Therefore, a formula approach is not appropriate for pricing this product.✓✓
Describe the differences between the product features of the CI and PMI products. [4]
PRODUCTS_UK APR 2023
Policy / Premium term:
* PMI is generally a short-term product, the premiums on PMI are generally renewable annually [½]
* CI is generally a long-term product, the premiums on CI can be guaranteed or
* reviewable periodically throughout the policy term. e.g. after every 5 years [½]
Benefit cover:
* PMI normally pays out to cover the expenses incurred during medical treatments [½]
* typically for acute illnesses (and may generally exclude chronic and terminal
* illnesses) [½]
* CI is normally paid upon the diagnosis of a critical illness as set out in the policy
* terms [½]
* and the conditions are generally lifestyle threatening [½]
* PMI may cover an individual risk (policyholder) or a family [½]
* CI usually covers individual risks (policyholders) [½]
* although children’s benefits might also be provided [½]
Claims:
* PMI indemnifies the policyholder [½]
* and payments are normally paid directly to the healthcare providers [½]
* CI normally pays a lump sum which is determined by the policyholders at outset [½]
* and is payable directly to the policyholders [½]
* PMI allows for multiple claims during the policy term (usually a year) [½]
* Under CI, usually only a single claim is possible [½]
* unless the CI lump sum is in the form of tiered benefits, i.e. a set proportion of the
* total sum assured will be payable based on the severity of the critical illness [½]
* PMI cover may be subject to limits [½]
* For CI, claims terminate the policy (unless it is tiered) [½]
[Marks available 9, maximum 4]
You are a pricing actuary building a GLM model for an existing PMI book of business. You
have individual policyholder-level data, including age, sex, number of chronic conditions, and
average monthly claims costs – including those with zero claims.
i. Describe how you could use this data to build a GLM to estimate costs as well as the factors you should consider in the GLM specifications. [4]
ii. Outline the benefits and pitfalls of using a GLM versus a one-way analysis. [3]
GLM MANAGED CARE; ASSA JUNE 2022; Q1 (i)
The data could be used to model how the various explanatory factors have an impact on the response.✓✓ In this case, explanatory variables would be:
▪ Age✓
▪ Sex✓
▪ Chronic status✓, or can use the number of chronic conditions, since this is now available✓
▪ Whether they are part of National or Martingale (if available)✓
The response variable would be cost PLPM✓✓
The GLM can then be fitted to this✓, and the resultant model used to estimate costs based on the inputs of explanatory variables in a situation✓.
Factors to consider (not exhaustive):
o Inclusion of interactions✓
o Statistical significance of the✓ coefficients modelled
o Link function used✓
ii. ii.
Potential benefits:
o Handles risk cells with small volumes well, as it uses the full data.✓✓Also means that more granular levels of risk differentiation can be considered.✓
o More stable transitions between levels of risk.✓✓
o Gives control over interactions considered.✓✓
o Can easily assess different combinations of explanatory variables.✓✓
o Accounts for the effects of other explanatory factors in calculation of effect sizes.✓✓
Potential pitfalls:
o If influential points affect coefficients, the impact spreads beyond the single cell that the influential point lies in.✓✓
o Potential for model error if not specified correctly.✓✓
o Requires some statistical understanding to be able to use (as opposed to risk cells which are straight averages).✓✓
o Might not capture correct shapes of relationships✓✓ → risk cells may overfit though.✓
o One-way views may call out areas of concern that might not otherwise be detected if just looking at GLM outputs.✓✓
AA5Define ‘Managed Care’. [2]
MANAGED CARE; ASSA JUNE 2023; Q7 (i)
Managed Care aims to manage claim costs✓ while maintaining or even improving✓✓ access to quality healthcare services.✓
The system integrates the delivery and financing of healthcare✓✓ by providing the insurer with some control over the healthcare SPs through provider networks.✓✓
You are a pricing actuary for a health insurer and have been asked to evaluate the impact of medical advances on the experience of the insurer’s without-profits critical illness book.
ii.Describe five ways in which you might adapt your product design to account for this. [5]
PRODUCT DESIGN; ASSA JUNE 2023; Q1
Tiered benefits✓: A tiered benefit structure can help mitigate the impact of improvements in diagnostic technologies on the insurer’s liability. In a tiered benefit structure, the lump sum payout varies based on the severity of the illness✓. This means that if a policyholder is diagnosed with a less severe form of a covered critical illness, the insurer would pay out a lower benefit, reducing the liability✓.
Deferred period✓: The deferred period is the period between the diagnosis and when the benefit becomes payable.✓ Adjusting the deferred period can also help account for the impact of earlier diagnoses. For instance, if the deferred period is longer, the insurer would have more time to adjust its reserves and manage its risks effectively✓✓.
o Waiting period: Longer waiting periods✓✓ – from the date of policy inception, to when a claim will be accepted✓ can avoid anti-selection✓ and early diagnoses due to diagnostic advances.
o Update Claim Definitions in Policy Wording✓: The insurer can ensure that their claims definitions are clearly defined at what severity a valid claim is payable✓ – this would remove ambiguity✓ as well as act to control at what point a reserve✓ needs to be set up by removing the possibility of lower severity claims not accounted for in the valuation basis.
o Product exclusions✓✓: Another way to account for the potential impact of improvements in diagnostic technologies is to add exclusions to the product. Exclusions can be added for illnesses that are not covered under the policy✓ or for illnesses that are covered but are more likely to be diagnosed early✓.
o Updating underwriting assumptions✓: Insurers may need to update their underwriting assumptions to reflect the potential impact of earlier diagnoses✓ on the claims experience. This could involve reviewing the mortality and morbidity rates for different critical illnesses and adjusting the premium rates accordingly✓✓.
o Adding risk factors: Insurers can add risk factors to the underwriting process✓✓ to account for the potential impact of improvements in diagnostic technologies. For instance, the insurer may ask policyholders about their family history or lifestyle factors that may increase their risk of developing a covered critical illness✓✓.
o Health and wellness programs: Insurers can offer health and wellness programs to policyholders as a way to encourage them to maintain a healthy lifestyle and reduce their risk of developing a covered critical illness✓✓. This can include access to preventive screenings, healthy living tips, and fitness programs✓✓. By promoting health and wellness, insurers can help reduce the incidence of critical illnesses and, in turn, reduce their liabilities✓✓.
J2018 Q3 (iii) [5]
A health insurer has a coinsurance (original terms) arrangement with its reinsurer on its portfolio of term Critical Illness (CI) policies. The CI policies pay out if the insured suffers a severe illness within a 20-year term from inception of the policy and do not carry any surrender or maturity values.
(i) Explain the characteristics of this coinsurance arrangement.
[2.5]
REINSURANCE; ASSA NOV 2022; Q2 (i)
Coinsurance – can be either quota share✓ or surplus✓ whereby all aspects of the original contract are shared✓…
…hence the premium is split between the insurer and reinsurer in a fixed proportion✓✓ and the claims are split in the same proportion✓. This means the reinsurer will generally share in full risks of the policy✓✓ including investment✓ and early lapse✓.
A disappointing number of students did not mention anything about sharing lapse or investment risk.
iii. Outline the advantages of the GLM over the classic linear model. [3.5]
GLM; ASSA NOV 2017; Q2 (iii)
More general than just the Normal Distribution✓ as a GLM can take on any distribution from the exponential family✓ e.g. Poisson, Gamma, Tweedie✓✓.
* Using a Link function✓, can take account of the multiplicative nature✓ of explanatory variables and their effects✓ and transform them to linearity✓, as opposed to a classic linear model which assumes the effects of the explanatory variables are additive✓.
* The variance of the response variables (Yi’s)✓ is a function of its mean✓ and can often increase with the value of its mean✓✓ e.g. the Poisson distribution✓ and as is usually the case when modelling claim amounts✓.
AA6 A health insurer has a coinsurance (original terms) arrangement with its reinsurer on its portfolio of term Critical Illness (CI) policies. The CI policies pay out if the insured suffers a severe illness within a 20-year term from inception of the policy and do not carry any surrender or maturity values.
(ii) Explain what a deposit back arrangement is and outline its advantages. [4]
REINSURANCE; ASSA NOV 2022; Q2 (ii)
Deposits back – when the supervisory authority✓ requires the reinsurer to deposit back its share of the total reserve✓ to the cedant✓ under a reinsurance arrangement✓ with the cedant.
Even if not a requirement✓, this is sometimes done so that the cedant can maintain the reserve✓ and maximise the funds to invest✓ while still getting benefit of reinsurance✓.
The arrangement will also mitigate against reinsurer default risk✓✓.
The reinsurer can also benefit if it is a large international reinsurer✓ and wants to avoid investing in an unfamiliar market✓.
The overall result is that the reinsurer only in effect covers the (reinsured part of) the sum insured over and above the reserve (called the sum at risk).✓✓
It makes the arrangement generally more profitable to the ceding company, as it will retain all of its potential investment profit.✓✓
Improves trust between insurer and reinsurer.✓✓
May have mutually beneficial balance sheet effects.✓✓
Company A is a large health and care insurance company that sells a full range of health and care products including:
(a) individual standalone Critical Illness (CI) with tiered benefits.
(b) Group Private Medical Insurance and Individual Private Medical Insurance (GPMI and IPMI).
Discuss the suitability of the various distribution channels for each of the health and care products above.
* Own Salesforce [3]
* Worksite Marketing [4]
DISTR CHANNELS_UK APR 2023
Own salesforce
Suitable because:
Members of an own salesforce are usually employees of the insurance company,they should therefore have been trained to have detailed knowledge of the product [½]
They are therefore well placed to explain the complex CI product features to potential policyholders [½]
For group business, Company A’s own salesforce agents may already have an established client base [½]
who are likely to be the smaller companies and individual customers [½]
who may find the cost of services provided by a specialist group insurance broker
too expensive [½]
May not be suitable because:
The salesforce may be remunerated by commission or salary or a mixture of both [½]
If the fixed salary component of the remuneration is high, there could be less incentive to try and sell a complex product [½]
It is unlikely to be suitable for targeting the large corporations [½]
Worksite marketing
Suitable because:
This may be suitable if the workforce of the employers to which Company A is given the permission to target are sophisticated. [½]
The working population might be an appropriate target market for individual products such as individual CI and individual PMI. [½]
For budget Individual PMI, worksite marketing will be cost efficient and potential customers should be able to understand all the product features for simple individual PMI products. [½]
May not be suitable because:
This method may only be suitable for certain employers with sophisticated workforce, or the sophisticated section of the workforce within the employers. [½]
Some products would be too complex to explain to the entire workforce of an employer [½]
and it would be challenging to ensure that they all understand the product features adequately for them to fully understand and make the appropriate decision. [½]
Such products may include tiered benefits standalone CI [½]
and a comprehensive Individual PMI product. [½]
It will not be suitable to try to sell individual PMI products to a workforce that is already covered by a group PMI policy. [½]
It is unlikely to be suitable for targeting employers who are the direct customer (i.e. for group business). [½]
ST1 S2010 Q4(i) [8]
F102 June 2016, Q6 (i)
List the elements of a cashflow pricing model. [4]
A large health and care insurer is considering launching a new individual stand-alone critical
illness product with a 28-day survival period. You are the pricing actuary tasked with setting
the premium rates for this new product.
iii. List the key data items you would require to price this product. [4]
Pricing - Individual Business; ASSA JUNE 2021; Q6 (iii)
- Incidence rates✓ at each age✓ for each covered condition✓
- 28-day Mortality rates✓ for diagnosis at each age✓ (modelled?)
- Risk margins ✓
- Expense loadings ✓
- Commission ✓
- Contribution to profit ✓
- Discount rate ✓
- Solvency capital requirements ✓✓
- Cost of capital ✓✓
- Assumptions around volume of business✓ (for spreading overheads)✓
- Assumption around mix of business (where cross subsidies exist)✓
Explain why multivariate modelling is useful for modelling health insurance claims. (2)
GLM; ASSA NOV 2020; Q4 (i)
Multivariate modelling using is necessary when modelling multiple factors that are likely to be related or correlated to a certain extent.✓✓ If these interdependencies are not taken into account, there is a risk of over- or understating claims.✓✓
Examples of factors used in modelling health insurance claims that are likely to be correlated:
* age & family size ✓✓
* age & chronic conditions ✓✓
* maternity & gender ✓✓
(any two of the above examples)
X2.1
(i) Discuss the advantages and disadvantages of designing health insurance products in a unit-linked, rather than a conventional form. [3]
(ii) Describe the advantages to the insurer of a combined critical illness (CI) and private medical insurance (PMI) product. [3]
[Total 6]
(i)
+ A unit-linked product tends to be less risky than a conventional product as some of the risks are shared with customer. [1⁄2] However, may be additional risks associated with the guarantees offered. [1⁄2]
+ It may be more acceptable to review premiums and benefits under a unit-linked design. [1⁄2]
+ A unit-linked structure allows for more accurate pricing [1⁄2]…
+ … and permits a more complex benefit design. [1⁄2]…(so it is easier to differentiate from competitors???)
+ There may be lower capital requirements for a UL product depending on the design of the product and the level of guarantees. [1⁄2]
– The main disadvantage is that unit-linked products are more difficult to understand. [1⁄2]
(ii)
+ The PMI benefit covers cost of acute treatment and cover for chronic conditions may be limited …[1] … whereas CI can provide additional cover for ongoing medical expenses. [1⁄2]
+ PMI only covers medical expenses [1⁄2]
… whereas a CI benefit can be used to cover other costs, … [1⁄2]
… such as debt, income loss, lifestyle adjustment etc. [1⁄2]
+ Expenses will be lower for the combined product. [1⁄2]
+ Anti-selection may be lower, because individuals will buy cover against general medical expenses, rather than covering themselves for particular illnesses. [1⁄2]
X3.6 (ii) [10]
X1.5
A long-term health insurer sells both group and individual health insurance contracts.
(i) Explain the differences between the group contracts and the individual contracts provided by this insurer.
(ii) Describe the advantages and disadvantages to an individual of joining a group insurance scheme rather than buying an individual policy.
[Total 8]
(i) Differences between a group contract and an individual contract
Group business is insurance covering a number of individuals under a single policy document.
[1⁄2]
There is often a sponsor, such as an employer or other body, who is the policyholder in a group scheme.
Individuals own their own (separate) policies. [1⁄2] [1⁄2]
However, an individual policy might also cover immediate family members on a joint life basis.
Only those belonging to the group (eg employees working for the same employer, trade union members) may buy cover under a group arrangement.
[1⁄2] Individual policies are sold without restriction. [1⁄2]
Group schemes are short-term contracts, often one-year renewable and at most may be guaranteed only for two or three years.
[1⁄2]
Long-term individual policies are likely to have a term that lasts for many years. [1⁄2] Premiums for individual policies use individual rating factors (eg age).
[1⁄2]
Premiums for group policies usually use both individual and group (eg type of industry) rating factors.
[1⁄2] [1⁄2]
Premiums for group policies are often partly determined using the experience of the group.
Premiums for individual policies usually do not use the individual experience to determine premiums (although there are exceptions, eg NCD schemes).
[1⁄2]
There will generally be less medical underwriting on group contracts compared to individual contracts to reflect the lower risk of anti-selection.
[1⁄2]
In particular, an individual joining a group scheme will only be underwritten if the cover exceeds the free cover limit.
[1⁄2]
Group schemes usually have benefits determined using a fixed formula (eg related to salary).
[1⁄2]
Individuals are free to choose their own cover, subject to financial underwriting. [1⁄2] [Maximum 6]
(ii) Advantages and disadvantages to individual of joining a group scheme + less strict underwriting, so more likely to obtain cover at standard rates
+ premiums will usually be lower than those for similar individual cover [1⁄2] [1⁄2]
+ premiums often paid by the employer, although employees may be taxed as if the premium was part of their income (so the cover is not totally “free”) [1⁄2]
– benefits will usually be limited and may be determined by a fixed formula, so it is difficult to match the cover to individual needs
[1⁄2]
– cover only continues while the individual is a member of the group (eg if the individual losses their job, he or she will need to purchase their own cover) [1⁄2]
– cover may be restricted to the individual (eg a joint policy including spouse may not be available)
[1⁄2]
[Maximum 2]
Q&A 3.17 [12]
X2.5 (i) [4]
A small health and care insurance company is considering launching a new group Private Medical Insurance (PMI) product. The insurer has asked reinsurance
companies to provide detailed quotations for reinsurance cover for this product.
(i) Outline possible reasons why the insurer may be seeking reinsurance for this
product. [6]
Reinsurance; UK APR 2021; Q2 (i)
This is a new product so it will not be covered under existing reinsurance treaties [½]
This may be the first time that the insurer is exposed to the group insurance market [½]
and/or PMI business [½]
As such, it may lack the experience of writing the business [½]
and may require significant external technical support, which could include [½]
Availability of expertise on pricing, e.g. [½]
underwriting support for hazardous occupational classes [½]
setting rating factors for different occupational classes [½]
setting free cover limits for different group size & profile [½]
renewal process set up for group business [½]
setting credibility factors based on group size to determine renewal premiums [½]
setting criteria for maximum cover allowed [½]
expertise on product design, and [½]
expertise on claims management system development [½]
Limiting exposure to risk / Provide protection against accumulation of risk, for example [½]
exposure to particular groups / industries, or [½]
exposure to medical cost inflation [½]
Increasing capacity to write new business such as large risks (i.e. single risks) [½]
and also increasing capacity to write more risks (i.e. cumulatively), which is particularly relevant for a new product [½]
Smoothing results [½]
which is particularly important for a small insurer [½]
Financial assistance [½]
this may be particularly important for a small insurer and/or a new product [½]
and such assistance could be used to help with new business strain [½]
Allow greater volumes of new business to be written by the insurer than would be possible using only its own capital [½]
Allow greater diversification of the company’s business by writing more new business than would be possible if there was no reinsurance available [½]
Reducing solvency capital requirement [½]
Financial or tax arbitrage [½]
It could be a statutory requirement [½]
Take advantage of good reinsurance rates in the market / reinsurance is good value [½]
F102 Nov 2017, Q6
A health and care insurance company has sold individual Long-Term Care Insurance
(LTCI) business for many years. The insurer is reviewing its investment strategy for
the assets backing its LTCI business.
(ii) Discuss the process the insurer would undertake to develop an appropriate investment strategy for its LTCI business. [7]
(This is not ALM.)
Investments; UK SEP 2020; Q7 (ii)
UK SEP 2020; Q7 (ii)