Chapter 15 Demographic assumptions Flashcards
Describe assumptions that are critical to pricing & valuation: -morbidity -mortality -persistency -claim amount
The process of determining demographic assumption entails:
- Collecting appropriate data
- grouping the data
- calculating the rates
- adjusting the rates
Collecting the appropriate data
- data would relate to an appropriate period of year, such that volume is adequate,
- but excessive heterogeneity due to changes over time is not introduced
Grouping the data
- divide data into relevant homogenous groups
- subject to adequate levels of data in each cell
Calculating rates
- in some cases rates will be based on an adjustment to a standard table,
- others to exposed to risk techniques may be used
Adjusting the rates
- adjustments are made if a class of lives are expected to have experience different to that which observed from the data.
- this could occur due to a change in the target market or distribution channel.
- in most cases morbidity, mortality parameters will be based on an adjustment to rates from a standard table.
Determining claims incidence rates and recovery rates
- Insurer’s own data is likely to be most relevant source of data
- data should be grouped into homogenous groups subject to credibility
- legislation may restrict use of certain factors.
- Allowance should be made for trends. Key social & economic influences include:
- changing attitudes to health
- State benefits
- economic situation/wellbeing of the country
- high inflation will impact renewal premiums
- medical advance should be allowed for in the rates.
- claim amount assumptions are important for indemnity cover.
- Claim recovery rates are important under LTCI benefit will cease if policyholder recovers form sickness.
How are claims incidence rates derive for LTCI, CI, PMI ? eg separate rates vary by?
- single rates will be derived for LTCI
- Separate rates for different illnes for CI insurance eg heart attack, cancer, stroke, TPD, etc
- combining these separate rates is not appropriate for tiered benefits
- different claim incidence rates for different treatments for PMI.
What factors are typically used for long-term health & care?
- age
- gender
- smoker status
- occupation
- size of benefit selected
- class of product
- individual or group
- distribution source
- regional
formula for calculating incident rates:CI
i(x,t,j) = a(t,j)*i(x,j,0)
where a is the t-year projection factor for disease j.
Demographic assumptions: Mortality
-Mortality rates should be taken from recent experience of a credible body of policyholder for same contract.
- The process of deriving mortality assumptions is similar to that of deriving claim incidence and recovery rates.
- Mortality rates are important for:
- claims in payment under LTCI
- for accelerated CI insurance
- within the survival period for stand-alone CI insurance
-For claims in payment, the mortality assumption is less important pre-claim, unless a significant death benefit is provided.
Demographic assumptions: Lapse rates
- The company’s own data is likely to be the main source of data.
- Market & reinsurers’ data may also be used however population data will no exist.
- Company’s own set of lapse rates depends on distribution methods and after-sale service.
- The commercial and economic environment is important.
- data should be grouped by distribution type.
- Lapse rates are more important when:
- they occur early in the policy term, when a financial loss would be made.
- a surrender value is payable (where a surrender benefit is payable and a reserve has been accumulated would work in insurer’s favour)
- lapse is selective, leaving a worsening propensity to claim amount those remaining
- there is a lapse and re-entry risk
- this occurs if premiums are cheaper at later age therefore policyholders lapse then re-enter at a lower premium. Essentially in-force is still the same but at lower profitability.