Reserving Flashcards
Additional considerations in establishing claim reserves
- Incurral dating method
- Reserve basis - statutory, GAAP, and tax bases differ in their use of margin, interest rates, etc.
- Interest - reserves for claims with long payout may be discounted to reflect inerest
- Controls and reconciliation - the data used should be tested for accuracy
- Insurance characteristics - reserves vary depending on the type of risk covered
- Reserve cells - set up separate cells for each homogenous category of business
- Managed care features - such as discounts and provider risk sharing arrangements
- Trends
- Claim administrative expenses - set up a reserve equal to a percentage of the claim reserve
- Morbidity assumptions - for long-term claims, morbidity is reflected in continuance tables
- Use of the case reserves method - very labor intensive, so only recommended for small blocks
Advantages and disadvantages of stochastic approaches for reserving
Advantages
1. Provides explicit guidance for establishing provision for adverse deviation in the reserves
2. Provides guidance on potential variability in items such as seasonality and claim trend
4. Allows for improved evaluation of reserve estimates (by knowing the variability of the estimate)
Disadvantages
1. Some audiences that are unfamiliar with this approach may have a false sense of confidence in the approach because of its sophistication
2. May be too complex to be used by all individuals who must perform related functions (such as forecasting and pricing)
3. Not every process can be modeled rigorously
Stochastic modeling techniques for reseving
- Fitting a parametric distribution to the data - this technique works best when the process being modeled is stationary over time.
- Ordinary least squares regression - this allows for investigation of the effects of specific explanatory variables, such as trend or seasonality
- Generalized linear models - these models improve upon ordinary regression models because they allow for cases where the dependent variable being modeled is either bounded (e.g., must be greater than zero) or not normally distributed
- Stochastic time series models - these are useful for handling situations where values are correlated across time (e.g., seasonal or cyclical patterns)
- Monte Carlo simulation - this approach is of significant practical value when combining results from any of the other techniques
Considerations when developing a stochastic approach to reserve estimation
- Availability of data - historical data is needed to validate the model and assumptions
- Appropriateness of data - consider whether the processes reflected in the historical data are representative of the process being modeled going forward
- Access to statistical software - lack of access to or understanding of modeling software will limit the available choices for modeling techniques
- Appropriateness of the model - this can be validated through goodness-of-fit testing, residual analysis, and hold-out sample evaluation
- Covariances of modeled estimates - when reserve estimates are calculated through component estimates, the covariance between these components must be estimated
Features (or aspects) of LTD and LTC contracts to consider when setting reserves
- Periodic benefits - benefits typically equal some specified monthly or daily amount
- Long-term benefit periods - these plans have maximum benefit periods that are much longer than benefit periods for other health benefits
- Elimination periods - LTD and LTC plans have a variety of elimination periods (often 90 days or more)
- Optional benefits - these may affect the timing or amount of monthly payments (e.g., partial disability benefits and cost of living adjustments)
- Integration of benefits - these plans often coordinate benefits with Social Security and Medicare
- Limitations and exclusions - some claims are excluded (such as intentionally self-inflicted injuries) or subject to limited periods (such as mental and nervous claims)
Types of long-term claims and reserve methods
- Open claims - claims currently being paid (uses tabular reserves)
a) Reserve = Vn = sum from time n to BP( Benefit at time t * Continuance * Interest Discount)
i) Benefit = monthly benefit (may vary over time due to product provisions)
ii) Continuance = probability of a claim continuing to receive payments in the future
iii) Interest discount = factor to reflect time value of money
iv) Summation runs from current time period (n) to end of benefit period (BP) - Pending claims - claims that have been reported but payments have not yet begun
a) Reserve for claims that are still in the elimination period = pending factor * tabular reserve
b) Reserve for claims that have completed the elimination period = pending factor * (tabular reserve + accumulated value of past payments not yet made) - IBNR claims - claims that have been incurred but have not been reported to the company. See separate list for reserve methods.
Methods for calculating IBNR reserves for long-term claims
- Percentage of premium method (a special case of the factor method)
a) For a historical year in which all claims have been reported, list all claims incurred prior to yearend that were reported after yearend. These are the IBNR claims.
b) Calculate a tabular reserve for each of these claims as of yearend of the historical year
c) Sum these tabular reserves to get the IBNR reserve for the historical year
d) Divide this reserve by earned premium for the historical year to get an IBNR reserve factor - Lag method - this is a simple case of the development method from GHFV-103-16
- Loss ratio method - described in list from GHFV-103-16
- Combination methods - for example, use the lag method for earlier incurral months and the loss ratio method for recent incurral months where the completion factors are low
Common data integrity errors related to claim reserving
- Missing data
- Misstated age or gender
- Inaccurate elimination periods or benefit periods
- Incomplete or inaccurate information on benefit integration
- Inaccurate or inconsistent determination of the incurral date
- Inaccurate information on cause of disability
- Incorrect coding of claim status (open, closed, or pending)
Methods for evaluating claim reserve adequacy
- Runoff studies (commonly done by incurral year) - previous reserve balances are compared to subsequent claim payments and reserve balances, with adjustments for interest
- Actual to expected claim termination rate studies (commonly done by claim duration) - compares the actual claim termination to the expected claim termination based on the table used for reserving. See separate list for considerations when preparing this study.
- Experience studies - typically involves a gross premium valuation. The reserve is adequate if PV of future gross premiums + reserves > PV of future claim costs and expenses.
The third point above came from study notes GHFV-103-16. Note that the second point is a specific type of the experience studies mentioned in the third point.
Considerations when preparing a claim termination rate study
- Credibility - sufficient data is needed before conclusions can be drawn from the study
- Types of terminations included - only terminations due to recovery and death should be included (terminations due to benefit limitations should not be counted)
- Exposure characteristics - if there is a disproportionate amount of one type of claim, adjustments may be needed
- Voluntary claim settlements - claims that are voluntarily settled are commonly excluded when performing this study
Types of reserves and liabilities
- Premium reserves (see separate list for types of premium reserves)
- Policy reserves (a type of premium reserve)
- Claim reserves (see separate list in GHFV-103-16 for types of claim reserves)
- Premium deficiency reserves (discuss in Premium Deficiency Reserves Discussion Paper)
- Expense reserves - to cover administrative expenses
- Reserves related to government plans. For example, refund reserves for Medicare Supplement, risk-sharing reserves for Medicare Part D, and special reserves needed for state Medicaid programs.
- Reserves related to ACA-compliant plans, for risk adjustment, reinsurance, risk corridors, MLR rebates, and reconciliations of various government subsidies
- Reserves for contracts with providers, such as for withholds, bonuses, or other risk-sharing mechanisms
- Reserves for experience rating refunds (discussed in Skwire chapter 27)
Definitions of reserves and liabilities
- Liabilities are obligations that are already incurred and accrued (such as the ongoing monthly payments on a known disability income claim)
- Reserves are for obligations which have not yet been incurred or are not yet accrued
- In practice (and in the study notes on the syllabus), reserves and liabilities are both referred to as “reserves.” Most reserve calculations focus almost entirely on calculating the combined value of the two.
Reserve standards for the different types of financial statements
- Statutory statement - the focus is on ensuring solvency, so reserves tend to be conservative
- GAAP statement - the focus is on matching profit streams with revenue streams, with a lesser degree of conservatism (through provisions for adverse deviation)
- Tax statement - IRS standards make sure profits beyond a set level are recognized, and therefor taxed, immediately
- Embedded value based statement - may be needed for international companies. Standards are set by the International Accounting Standards Board.
Types of premium reserves
- Types of active life reserves:
a) Unearned premium reserve (UPR) - reserve for the premium that has been booked to cover the portion of the coverage period which hasn’t yet occurred
i) Is usually a pro-rata portion of the last gross premium received (gross UPR)
ii) But when a company holds policy reserves, the gross UPR is replaced by a net UPR that is based on the net premium used in calculating policy reserves
b) Policy reserves (contract reserves) - this is the portion of premium collected in early durations that is intentionally designed to help pay for anticipated higher claims in later durations. Is needed for products where the claim costs increase with age while the premium is level. - Premium paid in advance - reserve for premiums paid in advance for future coverage periods
- Premium due and unpaid - an asset is created on the statement for the amount of premium that is expected to be received.
This list includes information from study note GHFV-103-16
Formulas for policy reserves
- The notation:
ipx = probability of survival to duration i for a policy issued at age x
v^t = (1 + annual interest rate)^-t = present value factor
ziCx = claim cost at age x, duration i, and issue year z
ziPx = net premium at age x, duration i, and issue year z - Prospective formula on a per original policy basis:
ztVx = PV{future claims} - PV{future net premiums} = sum from t+1 to w (ipx * v^(i-t) *ziCx) - sum from t to w (ipx * v^(i-t) *ziPx) - Prospective formula on a per original policy basis:
ztVx = sum from t+1 to w {i-tpx+t * v^(1-t) * ziCx} - sum from t to w{i-tpx+t * v^(i-t) * ziPx} - Retrospective formula on a per original policy basis:
ztVx = sum from 0 to t-1{ipx * v^(i-t) * ziPx} - sum from 1 to t {ipx * v^(i-t) * ziCx} - Retrospecitve formula on a per surviving policy basis:
ztVxs = sum from o t= (t-1) {[1/t-ipx] * v^(i-t) * ziPx} - sum from 1 t= t {[1/t-ipx] * v^(i-t) * ziCx} - Two-year full preliminary term method - for the first 2 years, ztVx2PT = 0. Thereafter, the reserve is calculated using the regular policy reserve formulas, but calcualted as if the policy begins at time 2.
- A modified method to reflect annual inflation (j) on both the claims and premiums - use the formulas above and multiply both the claims and net premiums terms by (1+j)^i
Formula for deferred acquisition cost (DAC) reserves
- DAC = AV{deferrable expense} - AV{net expense premiums}
- The notation:
ziEx = deferrable expenses at age x, duration i, and issue year z
ziPxE = net expense premium at age x, duration i, and issue year Z - The formula on a per surviving policy basis:
ztDACxs = sum from 0 to t-1 {[1/t-ipx+i] * v^(i-t) * [ziEx - ziPxe]}
Types of policies for which policy reserves are required
- Contracts that use level premiums
2. Contracts where the value of the future benefits at any time exceeds the value of future net premiums
Reasons why past claim patterns may not be representative of future patterns
These would affect the validity of using the development method for calculating reserves
- The company starts using electronic submission of claims
- A change in work flow due to a change in claim administrative systems
- Slow-downs or speed-ups in the claim administration department
- Changes in benefits
- Changes in the level of claim backlog
Reasons why a deficiency reserve may be needed
- A policy is noncancelable, so premium rates cannot be raised
- Regulators are unlikely to allow the premium rates to rise to self-sufficient levels
- The size of increases needed might trigger an antiselection spiral that makes it impossible to ever break even
. Governing documents for the setting of reserves
Referred to as “guidelines and standards of practice for calculating long-term claim reserves” in Skwire chapter 38. Lists from the two sources are combined here since many items were listed in both sources.
- US Statutory governing documents
a) NAIC Accounting Practices and Procedures Manual
b) NAIC model laws: Standard Valuation Law, Actuarial Opinion and Memorandum Regulation, and Health Insurnace Reserves Model Regulation
c) NAIC Health Reserves Guidance Manual - Canadian governing documents
a) International Financial Reporting Standards for annual statements
b) Publications and papers from the Canadian Office of the Superintendent of Financial Insurance and the Canadian Institute of Actuaries - US GAAP governing documents
a) Financial Accounting Standards Board: Statements and Interpretations, and Technical Bulletins
b) Accounting Principles Board opinions, statements, and interpretations
c) American Institute of Certified Public Accountants: Statements of Opinion, and Industry Audit and Accounting Guides - Tax governing documents
a) In the US: the IRS code
b) In Canada: the Canadian Income Tax Act, which requires some adjustemtns to be made to statutory numbers - Actuarial governing documents
a) Various ASOPs, including numbers 5, 7, 10, 11, 12, 18, 21, 22, 23, 28, 41, and 42
b) The American Academy of Actuaries’ series of Practice Notes
c) The Guides to Professional Conduct of the American Academy of Actuaries
d) Literature published in textbooks and by the actuarial profession
Duties of the actuary regarding the quality of data
These are from ASOP #23
- Seek out and use appropriate data and communicate any imperfections
- Review data for reasonableness and consistency (not necessarily an audit)
- Disclose reliance upon others for a review, reconciliation, or audit of the data
- Disclose situations where it is impossible or impractical to perform a sufficient review of the data
- Consider whether the use of inappropriate data might create a material bias in the work product
- Maintain adequate documentaiton to support the use of specific data
- Address reconciliation of paid claims to check registers or general ledgers
Types of reserve reporting
- Regulatory reporting - concerned with solvency and policyholder protection, so conservative
- GAAP reporting - emphasis on realistic earnings. Assumptions include provision for adverse deviation.
- Experience reporting for employers and providers - typically less sophisticated except for financial settlement and pricing reviews. For settlements, allow a 3 month run-out period to minimize the size of the estimated reserve.
- Valuations for acquisitions - reserves are material to profitability, so they are often a focal point of negotiations. There is often a final settlement after several months to revisit the purchase price and assess the impact of claims reserves.
Types of claims liabilities and reserves
- Due and unpaid liabilities - liabilities that have been reported, adjudicated, and processed, but not paid. Is usually small. Itemize or base on historical averages.
- In course of settlement - liabilities for claims reported and received but not yet adjudicated and paid. System may record receipt and run report. Otherwise, use simple method such as average claim times number of claims.
- IBNR - liabilities for claims that are anticipated but have not been reported. Project by using existing payment data to develop average expected claims or claim payment patterns.
- Loss adjustment expenses - liabilities for the administrative costs of adjudicating unpaid claims. Usually a percentage of unpaid claims liability.
- Present value of amounts not yet due (referred to as “unaccrued” in Skwire chapter 37) - an estiamte of future amounts due on known open claims (commonly for disability or LTC claims). Usually reserved on a seriatim basis using a tabular approach.
- Resisted claims - includes claims for which a known litigation situation exists. Usually reserved seriatim assuming full benefits and possibly amounts for damages.
- Outstanding accounting feed (may overlap with due and unpaid liability) - amounts which have been acknowledged as payments, but for which no check has been cut. Reserves are often based on accounts payable and billing notices.
- Deferred maternity or other extended benefits - the loss is triggered before the valuation date, but beneftis are deferred by contractual provisions
- Other special reserves - such as for waiver of premium due to disability
Points #8 and #9 came from Skwire chapter 37
Methods of estimation for claim reserves
Some methods have different names in other sources, so this list includes multiple names for those methods.
- Case reserves - direct enumeration on a claim-by-claim basis. Typically used only when there are very few claims. Can’t use for IBNR.
a) Examiner’s method - estimate ultimate payment and deduct what’s already been paid
b) Average size claim method - the number of reported claims times an average claim amount minus the amount already paid - Projection method - develop a historical incurred claim rate as a function of some measure of exposure. Then apply this rate to projected exposure to get current incurred claims, and subtract claims already paid. The most common approach is: projected PMPM claim costs * member months - claims already paid.
- Loss ratio method (aka claim cost method) - loss ratio * earned premium - claims already paid. This method and the projected method can be used when the volume of data is small or to validate other methods.
- Tabular method - apply a factor to open claims to calculate reserve. Typically used for LTC or disability. Can’t use for IBNR.
- Development method (aka lag, completion, or triangulation method) - projects historical claim lag pattern into the future to estimate the reserve based on experience data.
- Factor method (aka formula method) - historical studies are done of reserves paid after the valuation date for claims incurred before that date. These past reserves are stated as a percentage of some unit of exposure int he past time period (such as annual premium in force) to develop a factor. Current reserves equal this factor multiplied by the current amount of exposure.
- Stochastic approaches - methods where a probabilistic statement can be made about the level and adequacy of the reserve amount. Any of the methods discussed previously can be given a stochastic treatment.
Points 6-7 are from Skwire chapter 37.
Types of coverages for which the development method works well
- Ability to record incurral and payment dates for each claim
- Fairly consistent lag patterns
- Short incurral periods relative to the ultimate run out (monthly is preferred for medical)
- A sufficient volume of business in each cell, in order to obtain reasonably stable results
- Availability of either earned premium or exposure data (for volume adjustments and smoothing)