Chapter 23 Reserves & solvency capital requirements Flashcards
Reasons for calculating reserves
- to determine liabilities for published accounts
- to determine liabilities for solvency accounts
- to determine liabilities for internal management accounts
- to assist premium rating
- to value the insurer for merge and acquisition
- to influence investment strategy
- to assist with assessment of reinsurance arrangements
Types of reserves: Long-term
- reserves for in-force policies = typically discounted valu of future expected claims, expenses and premium cashflows.
- claims reserves (including IBNR) - disability claims
- claims reported but not fully settled.
- option reserves - additional costs that need to be set aside for the eventuality a particular option comses into the money.
- for group contracts, UPR and URR
Types of reserves:Short-term
- UPR
- URR
- IBNR
- claims in transit reserves - reserves in respect of claim reported but not assessed or not recorded.
- OCR
- INBER
- equalisation or catastrophe reserve
The role of statistical and case estimates:Long-term
- claim amount payable is known once claim is submitted, for most forms of long term insurance.
- however for annuity type contract period for which payments will carry on is not known.
- This may not be true for CI insurance, insurer will hold a reserve for claims reported but not fully settled, using amounts in policy docs and increase this by inflation where appropriate.
- reserves for benefits which provide income will be calculated using statistical methods.
- only small volume will be reserved for using case estimates. estimated using likely duration of claim.
- most of long term insurance provisions held are in respect of futre claims, acknowledging that a level premium pays cover of increasing probability of claim.
- actuaries may use deterministic or stochastic models to estimate potential claims outgo & set provisions.
The role of statistical and case estimates:Short-term
-PMI is indemnity thus the amount payable is determined by costs incurred and is not known with certainty until treatment is complete.
- statistical approach is used to estimate amount of claim.
- although certain large claims will warrant case-by-case reserving.
- This involves calculating expected total claim amounts for outstanding claims based on relevant past experience.
- each claim is unique in that many different claim causes can arise, so cost of treatment can vary considerably.
What should a claims manager take into account when estimating ultimate outgo for each case separately?
- procedure type
- hospital
- surgeon
- policy coverage (full indemnity, excess, limits, recuperation benefit etc)
- age,gender and past claims history
- current levels of medical inflation
Statistical estimates
- this is appropriate for particular types of homogeneous claims where portfolio is large enough & is deemed to be stable.
- these methods estimate outstanding claims for cohorts based on historical trends and patterns, and adjusting for known or anticipated future changes.
- most statistical methods work from tabulations of claims that have recently been paid.
- portfolio might be segmented by contract type, distribution channel, location, etc.
- assumptions are made about the stability of claim development and past patterns will continue into the future.
Basic chain ladder assumptions
- BCL assumes amount of claims paid in each development year from each origin year is a constant proportion of the total claim amount from that origin year.
- BCL assumes past inflation continues into the future.
- Inflation-adjusted BCL can be used.
The Borhhuetter Ferguson method merits
- Relies on assumed run-off patten and an estimate of the ultimate claims for each cohort.
- The estimate is usually made using the loss ratio method.
- The external estimate is apportioned between the past and future (as at the date of the reserving exercise).
- it improves on the crude us of a loss ratio by taking into account information provided by latest development.
Assumptions underlying the Bornhuetter Ferguson method
- underlying method is same as BCL.
- together with that the estimated loss ratio is appropriate
- this method could be viewed as using a Bayesian approach.
Steps in calculating a reserve using BF method.
- Determine initial estimate of the total ultimate claims from each treatment month using premiums and initial expected loss ratios.
- Multipy these estimates by the proportion outstanding (1-1/f) determined from claims development table. These are estimates of the reserve for each treatment month.
- add these figures to the claims paid to date give an esitmate of the ultimate loss for treatment month.
Explain boostrapping and what it is used for?
- It can be used to estimate the variance of the IBNR reserve.
- Shows the extent to which a reserve can vary on either side of its mean.
- A reserve method is chosen and used to produce a fitted model for historical data.
- The residual values are re-sampled with replacement to generate a number of pseudo run-off triangles.
- These pseudo run-off triangles can then be used to estimate the distribution of IBNR values.
Weakness of statistical methods
- Outstanding claims might be impaired by the errors, omissions or distortions in the data, which invalidate the underlying assumptions.
- These distortions however do not mean the statistical methods should not be used.
Assumptions underlying bootstrapping the BCL
- the run-off pattern is the same for each origin period
- incremental claim amounts are statistically independent
- the variance of the incremental claim amounts is proportional to the mean
- incremental claims are positive for all development periods.
Distortions in data and results can occur due to a number of reasons
- external influences, such as inflation or changes in underlying nature of risk
- internal influences such as underwriting, claims settlement or recording procedures or reinsurance arrangements
- changes in the type of business attracted in each treatment class
- random fluctuation or large claims in a small portfolio.