ILA-LPM B Flashcards
List the 6 steps to establish experience assumptions
- Identify assumptions needed
- Determine structure of each assumption
- Analysis experience & trends
- Review assumptions for reasonableness, consistency
- Document assumptions
- Monitor experience & update assumptions
I DARDM
3 types of primary assumptions needed for an experience study
- obligation
- asset
- scenario
Describe primary types of assumptions needed for an experience study:
- Obligation assumptions
- LIABILITY!
- mortality
- lapse
- expense
Describe primary types of assumptions needed for an experience study:
- Asset assumptions
- investment income rate
- capital gains rate
- defaults
Describe primary types of assumptions needed for an experience study:
- Scenario assumptions
- deterministic vs. stochastic interest rates
- sensitivity testing
How do you determine experience classes for an experience study?
- groups of policies w/ same assumption
- similar type, structure, marketing objectives
What are the key principles when deciding complexity?
- reflect differences in actual experience
- use objective definitions
- be practical and cost effective
List 4 considerations when analyzing experience and trends for an experience study
- evaluate credibility
- evaluate quality of data
- actual vs similar
- reflect trends
- reflect company and external factors
- sensitivity test the assumptions
List considerations when analyzing experience and trends for an experience study:
- Evaluate credibility
- quantity of data
- homogeneity
- reasonableness
List considerations when analyzing experience and trends for an experience study:
- Evaluate quality of data
- Alternative sources?
- Appropriate? Comprehensive enough?
List considerations when analyzing experience and trends for an experience study:
- Actual vs. similar experience
- Use actual if available and credible
List considerations when analyzing experience and trends for an experience study:
- Reflect trends
- Example: mortality improvement
List considerations when analyzing experience and trends for an experience study:
- Reflect company and external factors
- underwriting
- investment policy
- other business practices
Validation checks to review assumptions for reasonableness and consistency in an experience study
- static (starting reserves)
- dynamic (projected reserves)
Consisitency checks to review assumptions for reasonableness and consistency in an experience study
- inflation consistent w/ investment earnings
- mortality anti-selection and lapses
How should assumptions be documented after an experience study?
- Actual assumptions: value, applicable class
- Data: source, values, any concerns, adjustments
- Methods for development: e.g., credibility
-
How to use:
- pricing vs. CFT
- sensitivity testing
- regulatory requirements
3 key steps to determine a mortality assumption from an experience study
- determine structure
- analyze experience
- monitor experience
How to analyze experience for a mortality assumption
- mortality study (e.g. 5-yr CY study)
- develop expected mortality rates
- assess credibility
- adjust mortality rates
What are some of the ways that mortality rates are adjusted?
- trends (improvement, etc.)
- anti-selection = conservation of deaths
- blended w/ similar/industry (low cred)
- adjust for UW, distribution, market, etc
- blend male/female rates into aggregrate
What is the structure of a mortality assumption
- select and ultimate common
- mortality improvement
- ALB vs. ANB
Possible variations in the structure of a mortality assumption
- risk class
- selection process (type of UW)
- size of policy (bigger face ⇒ lower mortality)
- market method (direct, agent, etc)
ANB
- age nearest birthday
- qANB(x) = 0.5 x [qALB(x) + qALB(x-1)]
ALB
- age last birthday
- qALB(x) = 0.5 x [qANB(x) + qANB(x+1)]
List and decribe the 2 main types of mortality studies
-
CY
- activity for single CY
- account for new policies, WDs, and death
-
Anniversary-to-anniversary
- simpler; coincides w/ policy year
- issue year/duration basis
Which risk classes have separate mortality studies?
- non-routine UW
- conversions ⇒ usually higher mortality
- sub-standards
- non-forfeiture (ETI, RPU)
- multiple-life
Calendar year exposure equality
A + N = W + D + B
of lives…
A = beginning of year
N = enter during year
W = lapse during year
D = die during year
B = alive at end of year
What are the two ways that the balducci assumption can be used to calculate a mortality rate for a mortality study
- Policy level - sum up individual exposures
- Aggregrate - assume new issues and WDs occur mid-year (s=r=0.5)
Credibility considerations for a mortality study
- multi-year studies - better credibility
- 5-yrs good; too many years hide trend
- lower for amount-based studies
- A/E ratios - credibility & tracking trends
Describe conservation of deaths principle
Total mortality = weighted average of:
- mortality of “select lives” that lapse in duration r
- mortality of lives that stay w/ original policy
Key pricing concept: If you don’t account for selective lapsation, you will under-price the insurance product
anti-selections’s effect on mortality
- healthy lives more likely to lapse than unhealthy - especially w/ high renewal premiums
- mortality of those left begins to increase by “the conservation of deaths” principle
List at least 4 variations in lapse assumption structure
- product design
- distribution channel
- policy size
- premium mode
- product type
- conservation program effectiveness
Describe variations in lapse assumption structure (i.e. ways that lapses vary):
- Product design
- term: high (shock) lapses when ART period begins
- annuities: high (shock) lapses after SC period
- permanent insurance: high 1st year lapses
Describe variations in lapse assumption structure (i.e. ways that lapses vary):
- Premium mode
- lapses generally occur on premium due dates
- flexible premium: assume uniform monthly
Describe variations in lapse assumption structure (i.e. ways that lapses vary):
- Policy size
- small policies: high early lapses
- large policies: high later lapses
Describe variations in lapse assumption structure (i.e. ways that lapses vary):
- Distribution channel
- brokerage: higher lapses
- agency: higher lapses if agent quality is poor
Describe variations in lapse assumption structure (i.e. ways that lapses vary):
- Product type
- Deferred annuities: more sensitive to lapse rates than life insurance
Exposure for a lapse study
- same as mort study - death and lapses trade places
- lapses get full year of exposure
w(x) = W / (A + (1 - r)N - (1 - s)D)
List specific types of lapses
- failure to pay premium (term)
- full/ partial cash surrender
- policy loan > CSV
- nonforfeiture transfers - ETI, RPU
- term conversions
- deviations in actual prem as a % of target prem (UL)
Describe the following aspects of interest rate assumption structure.
- Deterministic vs. Stochastic
Investment Assets:
- deterministic
- portfolio average
- investment generation
- stochastic
- useful for more important risk
- rates vary w/ time, asset class, quality, & credit risk
Describe the following aspects of interest rate assumption structure.
- Policy Loans
- modeled as assets or negative liabilities
- net of policy loan expenses
- utilization rate
Formula for determining interest rate on a book value basis
I = Ai + (B - A - I)(i/2)
i = 2I / (A + B - I)
A = BoY
B = EoY
C = net CFs (assume mid-year)
Formula for determining interest rates on a market value basis
r = (B - A - C) / (A + C/2)
If done daily, set C = 0
A = BoY
B = EoY
C = net CFs (assume mid-year)
Direct vs. indirect expenses
- Direct (vary w/ sales)
- commissions
- premium taxes
- UW
- Indirect (express as per policy, % of premium, or per unit)
- OH
- Both
- maintenance
- acquisition
- entering new LOB
Describe how exposure is determined in an expense study
- Goal: develop a policy count base for per policy expenses
-
How: Count the number of policy years that start in the study’s calendar year
- BOYs “crossed” in CY = A + N -W/2
- Mid-years “crossed” in CY = A + N/2 - W/2
- Exposure count
- (A + B + N)/2 for beginning of year expenses
- (A + B)/2 for mid-year expenses
- assumes WDs & new issues occur mid-year
4 methods for allocating expenses
- transaction count (# of premium payments)
- transfer costs (employee benefit cost per employee)
- employee time spent
- index-based allocation (policy count or premium)
Define “cell” in terms of an experience study
combinations of data dimensioned by issue age, sex, smoker/nonsmoker, policy year, etc.
Define “rate types” in terms of an experience study:
- decrement rates vs. utilization rates
- decrement = probabilities from 0 to 1
- mortality, morbidity, lapse, etc.
- utilization = NOT probabilities (can exceed 1)
- WD, option election rates, etc.
Decribe amount-weighted studies, for grouped amount weights
- lx terms become lx x avg DB in force
- dx terms become dx z avg DB paid on death
- wx terms become wx x avg DB on withdrawn policies
- sum amount exposures and calculate qx’s in the usual way
Describe amount-weighted studies, for individual amount weights
- multiply each life year exposure by the policy’s DB
- sum amount exposures and calculate qx’s in usual way
Describe the relationship between amounted-weighted q and life-weighted q
Amount-weighted q will be > life-weighted q if average DB paid on death > average DB in force
Uses of an A/E analysis
- compare actual mortality/lapse to expected
- develop best estimate assumptions as a multple of expected amounts
- Best estimate rate for age x = (A/E) x qxe
- valuation, risk management, financial planning, etc.
Frequency and severity formulas
- fx = nx/Ex = avg claim frequency*
- sx = Cx/nx = avg claim amount*
- nx = # of claims incurred at age x
- Cx = total claim amount incurred at age x
- Ex = central exposure (or initial)
Experience study calculations:
- Average withdrawal taken as a % of the max withdrawal formula
- ux = sx/Mx*
- Mx* = max w/d allowed
- sx *= average size (severity) of w/d
Experience study calculations:
- Average size (severity) of withdrawals taken formula
- sx = Wx/nx*
- Wx* = total actual w/d amount
- nx* = # of contracts who took a w/d
Experience study calculations:
- Withdrawal frequency formula
- fx = nx/Ex*
- Ex* = count-based exposure (deaths and lapses)
- nx* = # of contracts who took a w/d
Experience study calculations:
- Count-based exposure (excludes deaths and lapses)
- Ex = lx - dx - wx*
- wx *= # of lapses
Experience study calculations:
- Distortions caused by amount-weighted calculations
-
large amounts can distort numerator
- not easy to fix (cap max amount allowed in study)
-
risks/behaviors can differ significantly by amount
- small policies have less commitment
- large policies used to defraud
- solution: add band size to cell
Experience study calculations:
- List advantages of mutli-year studies
- higher credibility
- less distortion cause by reporting lags
- populate many more cells
- allow study of trends for study-year/CY
Experience study calculations:
- 4 examples of reporting lags
- death claims - not reported for months
- LTCI claims not reported til after EP
- “shoe-boxing” - lag between direct insurers and reinsurers
- life annuities sometimes continue paying after death
Experience study calculations:
- 2 possible solutions to reporting lags
- wait a few months after study period before gathering data
- IBNR claim estimates from previous studies
Experience study calculations:
- 3 examples of non-uniform events
- lapses often vary by month
- prorated mortality rates tend to underestimate deaths early in year at old ages
- LTCI claims immediately following claim
Experience study calculations:
- 3 ways to compensate for non-uniform distributions
- shorter interval
- adjustment factors
- constant force mortality for old ages
Considerations for inclusion of partial policy years in decrement study
-
ok when evenly distributed over year
- common for biologically-driven rates (mortality, morbidity, etc.)
- can allocate PYs between CYs
-
Otherwise, partial policy years will distort results
- behavioral rates not usually evently distributed
- lapse, withdrawal, option election, etc.
- do not allocate PYs between CYs
- behavioral rates not usually evently distributed
Describe the distributed exposure method
- assumes decrement is uniformly distributed
- allocates exposure/decrements by both PY & CY
- produces same total PY exposure as annual method, but CY allocation differs
- exposure missed by intial partial year (so can extend past study period)
Describe the annual exposure method
- consistent with Balducci
- exposes decrements to end of next anniversary (even beyond study period)
- disadvantage: overstates rates in first partial year; understates rates in final partial
-
expsoure extended beyond study period:
- b/c rate is probability
- exposure missed by intial partial year
Algorithm for calculating distributed exposure
- calculate annual exposure
- 1st half exposure = PY t exposure in CY
- deaths/surviving policies from anniversary to end of CY
- other decrements from anniversary to decrement date
- 2nd half exposure = total - 1st half exposure
- allocated to next CY
- In plain English: switch the partial year formulas in the annual exposure method*
- Move final partial year deaths to next study period’s first partial year
product-related considerations that may affect experience study calculations
- deaths in premium grace period (30-60 days)
- compromised and denied claims
- study cariables changing over time
- reinsured amounts
- substandard and uninsurable lives
Describe product-related considerations that may affect experience study calculations:
- Deaths in premium grace period (30–60 days)
- actual DB paid is net of overdue premiums, but use full DB in mortality study
- expose lapses to beginning of grace period
Describe product-related considerations that may affect experience study calculations:
- Study variables changing over time
- admin system changes
- may change plan codes or billing frequencies (distorts exposure)
Describe product-related considerations that may affect experience study calculations:
- Compromised and denied claims
- don’t count as death claims in mortality study
Describe product-related considerations that may affect experience study calculations:
- Reinsured amounts
- can study amounts net of reinsurance if material enough
Describe product-related considerations that may affect experience study calculations:
- Substandard and uninsurable lives
- typically excluded
List at least 4 claim characteristics that are shared by LTCI and DI products
- multiple payments that can last months or years
- usually paid monthly
- EP before claim payments start (up to 1 year)
- usually limited in some way (e.g. max age for DI, max total benefits, etc.)
- paid when insured meets certain conditions
- claims stop when insured recovers, but can start again
Describe the following types of morbidity studies for LTCI and DI:
- Benefit utilization rate studies
(LTCI only)
Benefit Utilization Rate = Actual Benefits / Max Benefits
Describe the following types of morbidity studies for LTCI and DI:
- Claim termination studies
- separate studies for recovery and death
- DI claims terminate when proof of diability not submitted
- LTC claims terminate when requests for reimbursement stops
- termination rates are highest and most volatile for new claims
Describe the following types of morbidity studies for LTCI and DI:
- Claim severity studies
Average length of claim = total months of claims/# of claims
Average cost per claim = total claims paid/# of claims
Describe the following types of morbidity studies for LTCI and DI:
- Claim incidence studies
- claim incidence rates = annual probabilities
- usually done on “all claims”
- usually based on annual exposure method
List 4 DI-specific considerations for experience studies
- EPs - claims are usually reported after EP
- partial DI benefits - reduces avg cost per claim
- recovery followed by relapse within 6 months
- claim settlements - lump sum paid in lieu of future monthly
List 5 LTCI-specific considerations for experience studies
- EP - 30, 60, 90, 180, and 365
- some benefits indexed to inflation
- mortality rates do not follow any established table
- diagnosis - must capture (drives claim length)
- claim data not always organized - requires work
Experience study considerations for deferred annuities
-
deferred annuity utilization rates
- GMxBs: compare benefit paid to the amount payable in absence of GMxB
-
contract year data challenges
- data usually monthly
- common approach: convert account balances to contract year basis using a 13-month average
Describe experience study considerations for payout annuities:
- Structured settlements
- from injury lawsuits
- one of more lump sums (not lifetime payouts)
- mortality higher than immediate annuities
- amount exposure - base on reserves or premium paid
Describe experience study considerations for payout annuities:
- immediate annuities
- self-selection - people buy IAs when they think they are healthier than average
- choice of immediate annuity may indicate health
- larger IAs tend to have lower mortality
- amount exposure should be based on monthly payment, not reserves
- mortality improvement is a key consideration
6 major steps in table development
- develop table
- identify table dimensions (exploration techniques)
- populate table (graduation/interpolation/modeling)
- extend and project rates
- review and adjust rates
- finalize
List 4 preliminary activities of data development and analysis
- review previous studies
- clarify puprose of table
- ensure confidentiality of each contributor’s data
- review available data (homogeneity, credibility, etc.)
Define and describe data call process
- data call: formal request for data from contributors
- simpler - more successful
- document what is needed for each data item (columns)
- define data structure (e.g. relational database)
- create detail records (rows)
- document all table relationships
List 6 common data challenges for table development
- incomplete data
- terminology may vary by contributor
- data may not arrive on time
- wrong or improperly formatted data
- time lags in reporting
- lack of resources to transform data
List 6 components in an experience study calculation
- study anniversary date - bday, policy anniversary, etc.
- age basis (ANB, ALB, etc)
- experience study summary records
- count-based and amount-based rates (qx’s, etc.)
- expected results (A/E ratios)
- summary results for each record (event counts and amounts)
List 3 ways to address distortion caused by having mix of age bases in experience data
- assume all ages based on most common method
- recalculate on common basis for each record
- weighted-average age
List 8 steps in data analysis process (table development)
- acquire data
- data validation, preliminary exploration, outlier analysis
- data visualization and preparation
- analytical approach: exploratory vs. advance analytics
-
model creation and assessment
- select model(s) w/ explanatory ability, predictive power, and implementation ease
- select final model
- minimize table dimensions
- replacing grids w/ factors if possible
THINK EXAM PA!
List the 3 steps in the modeling process, w/ in the data analysis process
The modeling process:
- model fitting: select variables w/ lowest p-value
- avoid confounding
- create transformed variables, functions, interaction terms, or stratification
AGAIN - THINK PA!
Describe the purpose of graduation
-
Graduation is a mathematical process that smooths an array of rates
- assumes “true” rates follow continuous curve
- required when rates don’t come from model
- can still be used on modeled rates
- goal: balance fit and smoothness
List properties of a preferred graduation method
- produces same total events as ungraduated
- parameters control amount of smoothness
- input fit, table fit, smoothness
Describe credibility and data grouping considerations when graduating rates for an experience table
- non-credible (“incredible”) rates distort graduated rates
- smoothness calc weights credible and non-credible rates equally
- biggest problem: very young and very old ages
- increasing credibility comes at cost of graduation
- grouping rates by age (e.g. quinquennial)
- grouping data by calendar or policy years
- possible solutions: use exposure-weighted averages for graduation
Describe the 4 steps of the graduation process
- Collect and populate graduation input
- Review and adjust input as needed
-
Run graduation process for 3 parameters: input fit, table fit, smoothness
- Set parameter value and run the graduation algorithm
- Review/graph/evaluate results
- Repeat until satisfied with parameter
- Run a final graduation using the best fit and smoothness parameters
3 ways to approximate total variance for all lives (from least refined to most)
- overall average size
- average size for lives contributing to qr
- allocate average size between 2 most common sizes in size groups (can be used to develop factors for 1 & 2)
Describe common interpolation methods for table development
-
1-dimensional methods
- linear
- cubic spline
- log-linear or log-cubic (good for mort)
-
2-dimensional methods
- bilinear
- bicubic (smoothest)
Describe 3 methods for extending rates in a table
Often necessary for very young or old ages where credibility is low
-
use rates from existing credible table
- use slope as guid
- grade from study’s rates to existing table’s rates
-
other data sources
- SSA for old ages
-
formulas
- should reproduce rates for nearby credible ages
Provide 5 reasons why initial rates developed for table may be deficient
- nonsensical (mort rate > 1)
- data had poor credibility
- nonsensical pattern
- suspicious differences in arrays of rates
- very wide CIs
List the 5 componencts of enforcement reviews
- define relationships to be enforced
- define when relationships will be checked
- create spreadsheets to check relationships (automation)
- check S&U mort rates
- adjust rates to enforce relationships
Describe 4 considerations for projecting future rates
- historical data - consistent population
- mortality trends - difficult to estimate
- connect cause and effect
- different types of projections
3 different types of projections of future rates
- mid-point of experience data to final table effective date
- beyond effective date at single rate of improvement
- beyond effective date at a varying rate of improvement
Describe items to consider when assessing financial impact of a table
-
reserves and nonforfeiture values
- prescribed industry tables affect prescribed stat reserves and nonforfeiture values
- PBR can be impacted by internally developed rates
- impact can vary a lot from company to company
-
premiums and PH dividends
- could be impacted by new industry or internally-developed tables
Describe 5 ways to create additional tables from final table rates
- w/ or w/ out projected trend factors
- w/ or w/ out valuation loading factors
- multiple age definitions (ANB, ALB, etc.)
- unisex
- relative risk versions for UW purposes
Describe the 4 major steps in valuation loading process for the commissions’ valuation table (CVT)
- develop experience table - soley on experience data
- develop valuation basic table (VBT)
- apply loading factors to experience table to create a loaded experience table
- create CVT (used for stat reserves)
Describe how to calculate a credibility-weighted A/E ratio
- for both LFM & Buhlmann, credibility estimate:
Estimated Company A/E = Z x (Company A/E) + (1 - Z) x (Overall A/E)
- Z = credibility factor ranging from 0 to 1
- Z = 1 means company experience fully credible
- Calc for Z different under LFM and Buhlmann
- overall A/E ratio based on average of all companies in study
- lower Z is, more weight placed on overall experience
Describe limited fluctuation credibility method
- based on CI and only uses data from particular company being studied to determine the credibility factor
Describe properties of Bühlmann Empirical Bayesian Method
- based on empirical application of Bayesian stats
- starts w/ initial or prior distribution based on past data, professional experience, or option
- observed results used to formulate predictive or posterior distribution
- considers variance between insurers, not just insurer specific like LFM
- Z calc more complex
Compare LFM and Buhlmann credibility methods
-
Buhlmann considers 2 sources of variance, LFM only 1st:
- company-specific
- among companies
- LFM only needs data from company studied (simpler)
-
Both:
- calculate estimated company A/E
- assume constant overall A/E ratio
- additional adjustments maybe needed based on actuarial judgment
- Comparison for 10 insurers surveyed:
- count-based A/E estimates similar
- amount-based A/E estimates differed more
What are advantages of traditional approach to experience studies
- Commonly accepted/well established
- easy to produce results
- management familiar with ⇒ can apply to management decisions
List 7 key steps in predictive analytics project
- project scope
- data collection and validation (MOST IMPORTANT)
- initial factor anlysis
- model building
- model validation
- final calibration
- implementation
List the key steps in a predictive analytics project:
- Data Collection and Validation (most critical step)
- clean data and consider variables that may not be obvious
List the key steps in a predictive analytics project:
- Model Building
- multiplicative or additive
- statistical tests, business knowledge, and interactions to include
List the key steps in a predictive analytics project:
- Model Validation
- compare A/E ratios
- use hold-out samples
List the key steps in a predictive analytics project:
- Initial Factor Analysis
- do univariate analysis
- then remove highly correlated variables
List the key steps in a predictive analytics project:
- Final Calibration
- refit model using all data and make final adjustments
List the key steps in a predictive analytics project:
- Implementation
- use model results to set assumptions, do underwriting, etc.
List the key steps in a predictive analytics project:
- Project Scope
- (target variable, LOB, timeline, resources)
- Assemble team of technical and business experts
How can UW type and geo-demographic variables can aid UW?
Traditional techniques don’t use these but predictive analytics could. . .
-
UW type
- could use process results (BP, LDL, BMI)
- limitation: data availability
-
geo-demographic variables
- categorize socio-economic composition of a particular zip code
- apply multipliers that vary by face amount, duration, or distribution channel
List general advantages of predictive analytics for experience studies
- Interactions of factors better understood
- better credibility for specific factor combinations
- standardizes all factors ⇒ isolates “true effect” of each
- backed up by statistical tests
List new business valuation advantages of predictive analytics for experience studies
- assess NB value at more granular level
- allows management to make more specific changes if needed
- revise benefits, increase fees, change producer compensation
Disadvantages of predictive analytics for experience studies
- significant expertise required
- risks: misinterpret data and flawed models
Limitations of predictive analytics (and traditional) in experience studies
- lack of data at old ages (85+)
- possible solutions: create trend lines or adjust standard models
- not doing experience studies at all
- some companies lack resources
- pricing models may not support the more refined assumptions
List 4 main steps for building a predictive model
- collect and organize data
- prepare data
- build model
- final adjustments
List criteria for data that will be used in a predictive model
- relationship with target variable
- statistically signifcant
- correlation vs. cost to obtain
- regulatory/legal concerns
- 12-18 months of data
List and describe 2 classes of data that can be used in a predictive model for UW
-
Traditional
- app data
- medical information bureau (MIB)
- motor vehicle record (MVR)
- electronic Rx profile
- traditional medical UW results
-
Non-traditional 3rd party data
- credit scores (FCRA)
- marketing data
List 4 main steps to prepare data for a predictive model
- generate variables
- exploratory data analysis
- variable transformation
- partition into 3 sets
List and describe 4 main steps to prepare data for a predictive model:
- Generate variables
- synthetic vs. disease-state
List and describe 4 main steps to prepare data for a predictive model:
- Exploratory Data Analysis
- distributional vs. univariate analysis
List and describe 4 main steps to prepare data for a predictive model:
- Variable Transformation
- Group values into buckets
- Replace missing values
- Reduce effect of extreme values/outliers
- Convert variables into numerical values to capture trends
List and describe 4 main steps to prepare data for a predictive model:
- Partition Data Into 3 Sets
- Train
- Validation
- Test
Describe additional adjustments that might be appropriate for a predictive underwriting model
-
layering on existing UW guidelines
- example: exceptions for rare conditions
-
decision trees
- used to narrow applicant pool into good/bad risks
Describe the following considerations with respect to predictive modeling for
underwriting.
- Anti-selection concerns
- PH can’t manipulate 3rd party data
- model relies on data in total, not individual
- allow reduced UW requirements for some
- randomly traditionally UW some applicants (for checks)
Describe the following considerations with respect to predictive modeling for
underwriting.
- Legal and ethical concerns
- collection of consumer data
- marketing data not subject to FCRA
- social views on privacy
- compliance and legal staff should review variables
Explain why credit data is useful for mortality prediction
- main idea: qx = f(credit behavior)
- Credit behavior indicates an individual’s conscientiousness
- conscientious people tend to have better credit history ⇒ lower mortality
Give reasons why conscientious people tend to have better credit history, and therefore, lower mortality
- Engage in healthier behavior/environments
- Healthier friendships
- Better education, career, and higher incomes
- Have less unhealthy stress
2013 study showed what about why credit data is useful for mortality prediction?
- lowest conscientious US adult mortality = 3.2x highest conscientious
- falls to 1.6x after adjusting for smoking, alcohol, and waist size
List criteria for using credit data for UW purposes
- adjacent markets utilize similar data/approaches
- heavily regulated - allows for consumer dispute resolution
- updated in near real time
- used to develop model that is fit for purpose: mortality
- credible population - allows for a separate holdout sample
- available for vast majority of adult population
List the credit attributes that influence the TrueRisk Life score
The score is a function of 25 credit attributes across 4 categories:
- credit-seeking activity - recency/frequency of credit inquiries/trades
- credit tenure - credit history length, active trade count, months since oldest trade
- severity/frequency of derogatory credit info - bankruptcies, collections
- credit usage - utilization percentages, usage patterns, recency
Describe the data used to develop the TrueRisk Life model
- Credit archive data were divided into 3 groups
- 44M: training data used to create model w/ multivariate logistic regression
- 30M: test/validation data to prevent overfitting
- 18M: holdout data for mortality validation
Describe the data used to develop the TrueRisk Life model
- Data sources
- 1998 TransUnion credit archive: 92M useable records
- originally 175M (roughly 90% US pop)
- useable set only includes adulst w/ a SSN, credit history, and age 21-70
- 2011 SS Death Master File (death data)
Characteristics needed for final variables in predictive analysis
- low correlation
- high predictive power
- stable over time
- non-gameable
Describe how to interpret the TrueRisk Life score with respect to mortality prediction
- TrueRisk Life score for each individual = 1 to 100
- 1 = best credit-based score possible (100 is worst)
How does age affect a TrueRisk Life score?
-
credit history generally improves w/ age
- A/Es still increase within each TrueRisk Life score slightly w/ age
- ages 60+: health factors play a bigger role
How are A/E ratios directionally related to a TrueRisk Life score?
-
A/E ratios increase w/ TrueRisk score (worsening credit)
- worst 5% of scores mortalty more than 6x the best 5%
- A/E ratio curve smooth and monotonically increasing
Credit segmentation does not wear off over time
Describe how the TrueRisk Life score relates to traditional forms of UW
- Compared to full & non-medical UW
- FU business skews toward lower TrueRisk Life score (better credit)
- non-medical skews toward higher
- A/E ratios increase with score for both UW types
- early duration lapse rates increase w/ score
Review the FCRA Regulations on the back of this card
TrueRisk Life is subject to the FCRA
- Governs collection, assembly, and use of consumer report information
- Model does not use:
- Credit card transactions
- Social media
- Income
- Race
- Criminal records or court filings
- Property records
- Religion or national origin
- IRS data
- Education
- Checking/savings account information
Describe the LexisNexis Risk Classifier methodology
- score ranges from 200 to 997 (worst to best)
- Population studied: 8 million insurance shoppers ages 18–90
- Study period: 2006–2010
- based on public records, credit information, motor vehicle history
- Death sources: SS Death Master File, state records, other
- Expected mortality basis: 2008 VBT
Describe how the LexisNexis Risk Classifier score relates to each of the following:
- Mortality risk within age, gender, and duration
- Risk Classifier stratifies mortality risk across age, gender, and duration
- Mortality risk decreases with score within age bands and gender
- Older ages (70+) have less differentiation by score (health plays a bigger role)
- Credit tends to improve with age
- Differentiation does not wear off with time
Describe how the LexisNexis Risk Classifier score relates to each of the following:
- Public records
- Better public records and credit indicate better mortality
- Mortality risk increases as past due balances increase
- Other attributes that result in higher mortality:
- Derogatory public records (bankruptcies, liens, judgments)
- Felony and criminal convictions
- People with professional licenses have lower mortality
Describe how the LexisNexis Risk Classifier score relates to each of the following:
- Wealth
- Risk Classifier scores generally increase with wealth
Describe how the LexisNexis Risk Classifier score relates to each of the following:
- General population mortality risk
- Mortality risk decreases as the Risk Classifier scores increase
- People with better credit/behavior have lower mortality
- Exposure is concentrated in the middle range of the scores
- Exposure is very low at the best scores (900+)
List 4 possible methods for ending a mortality table
- Forced Method
- Blended Method
- Pattern Method
- Less-Than-One Method
List and describe 4 possible methods for ending a mortality table:
- Less-Than-One Method
- Choose an ultimate age
- No changes to other qx ’s
- At ultimate age, qx may be 1.000
List and describe 4 possible methods for ending a mortality table:
- Pattern Method
- qx ’s continue normally until they reach 1.000
- Age where qx = 1.000 is ultimate age
List and describe 4 possible methods for ending a mortality table:
- Blended Method
- Choose ultimate age
- Grade qx ’s to 1.000 at ultimate age
- i.e. “blend” the qx ’s to 1.000
List and describe 4 possible methods for ending a mortality table:
- Forced Method
- Choose ultimate age
- Set ultimate qx = 1.000 at ultimate age
- No changes to other qx ’s
Describe difficulties when ending the mortality table
- Difficulties with ultimate age and mortality levels
- Little data at old ages
- Questionable accuracy
Describe slope considerations when ending the mortality table
- Female slope higher at old ages (catching up to male)
- Mortality increases at a decelerating rate from age 100 to 110
Why is policyholder behavior getting more attention in the insurance industry?
- Increased product flexibility
- More investment components
- Volatility in financial markets
- Sophisticated financial reporting and regulation
- Social and technological advances
- Emerging behavioral economics research
Explain the importance of understanding policyholder behavior
-
Policyholder behavior risk: Non-diversifiable and non-hedgable
- Elective, unlike mortality risk
How does policyholder behavior affect many areas of insurance operations?
-
Product design – early mistakes were made:
- VA GMDB dollar-for-dollar withdrawals, LTCI lapse rates set too high
- Reserves & capital – Premium paid, investment elections, fund transfers, etc.
- ALM – Liability durations change as policyholders react to changing interest rates
- ERM – Tail risk and other operational risk
List 5 challenges in understanding policyholder behavior
- Lack of time
- Information asymmetry
- Curse of knowledge
- Data challenges
- Human decision making is not fully understood (but improving)
Describe 5 challenges in understanding policyholder behavior:
- Human decision making is not fully understood
- (but improving)
- Behavioral economics, Big Data, computing power, dynamic modeling
Describe 5 challenges in understanding policyholder behavior:
- Data challenges
- Lack of data, credibility, and causal linkages
- Systems weren’t designed with policyholder behavior in mind
- Data not in required format
Describe 5 challenges in understanding policyholder behavior:
- Curse of knowledge
- Significant gap between policyholder and actuarial product views
Describe 5 challenges in understanding policyholder behavior:
- Information asymmetry
- Insurers have incomplete information about policyholder
- Policyholders have incomplete understanding of products
Describe 5 challenges in understanding policyholder behavior:
- Lack of time
Time is spent preparing data, not analyzing it
Describe how data sources for policyholder behavior assumptions vary
-
Own experience with the highest credibility:
- Surrenders
- Lapses/premium persistency
- Loan utilization
- Dividend elections
-
Own experience with the lowest credibility:
- Mortality shifts due to lapses deviations
- Shock mortality and lapse
- Index elections/transfers
Describe dynamic policyholder behavior assumptions
-
Dynamic Assumptions – vary with external factors in model
- common uses: ALM, risk management
List common dynamic policyholder behavior assumptions
- Surrenders (UL, SGUL, annuities)
- SGUL driver: in-the-moneyness
- UL and annuity driver: credited rates
- VA and EIA living benefit utilization
- VA withdrawals and transfers
- Others: loan utilization, funding, partial withdrawals, anti-selection
Describe static policyholder behavior assumptions
-
Static Assumptions - does NOT vary with external factors
- Common uses: pricing, valuation, forecasting
Define financial efficiency
how optimally policyholders maximize their contract values
Describe how companies typically account for financial efficiency in
policyholder behavior assumptions
- most companies assume less than 100% (consistent with history)
- most companies assume “neutral” to “very efficient”
- may increase with sophistication of products/policyholders
- Half of companies vary with product
- Some companies vary with distribution channel
What is a formal governance process? List model governance practices used by companies
Formal governance process – agreed-upon / well-communicated procedure for. . .
- Updating experience data
- Reviewing changes in experience
- Recommending modifications of assumptions
- Discussing consistency of assumptions across products/areas
- Sign-off on recommended changes
- Validating, updating, and reviewing actuarial models
Techniques used by companies for validating, updating, and reviewing actuarial models
- Common techniques: A/E analysis, dynamic validation
- Newer techniques: back-testing, 3rd party review, stress/scenario testing
Top policyholder behavior modeling challenge
Data availability and credibility
Describe policyholder behavior modeling techniques
- Traditional actuarial modeling (by far most popular)
- Predictive modeling
- Monte Carlo simulation
Give recommendations for handling the following aspects of policyholder behavior assumption setting
- modeling
- Balance dynamic assumption complexity with value added
- Identify (in)consistencies across lines/areas
Give recommendations for handling the following aspects of policyholder behavior assumption setting
- Data collection, analysis, and assumption setting
- Review data sources
- Consider:
- Customer service and web-based data
- Applicability of in-force block experience to new products
- Policyholder behavior under extreme scenarios
- Apply predictive modeling / statistical techniques
- Centralize internal data sources
Give recommendations for handling the following aspects of policyholder behavior assumption setting
- Governance Process Steps
-
Implement:
- Formal process for experience data updates
- Review procedure
-
Establish cross-functional:
- Discussions about inconsistencies
- Data analytics repository
- Experiment with advanced statistical techniques
Give recommendations for handling the following aspects of policyholder behavior assumption setting
- Validation
- Establish formal process
- Document changes
- “Model Sherriff”
List benefits of utilizing behavioral economics in policyholder behavior assumptions
- Identify common shortcuts used in consumer decision-making
- Explain external variables affecting consumer decision-making
- Explain market inefficiencies
- Offer insights into product design and marketing
List 5 decision shortcuts (heuristics)
- Relative choices
- Reliance on defaults
- Mental accounting
- Framing
- Status quo bias
List and define 5 decision shortcuts (heuristics):
- Status quo bias
people tend to stick with prior choices
List and define 5 decision shortcuts (heuristics):
- Framing
how choices are labeled can influence consumer decisions
List and define 5 decision shortcuts (heuristics):
- Mental accounting
tendency to create artificial budgets covering different categories of spending and saving
List and define 5 decision shortcuts (heuristics):
- Reliance on defaults
tendency to rely on assumptions set in the past
List and define 5 decision shortcuts (heuristics):
- Relative choices
tendency to make (sometimes irrational) decisions by comparing available choices
List 4 value assessments (PH behavior)
- Love of free
- Anchoring
- Endowment effect
- Hyperbolic discounting
List and define 4 value assessments:
- Hyperbolic discounting
people tend to heavily discount the importance of future events (procrastinate
List and define 4 value assessments:
- Endowment effect
people don’t like to give up something they already have
List and define 4 value assessments:
- Anchoring
tendency for people’s numerical estimates to be influenced by suggested numbers, even if completely irrelevant
List and define 4 value assessments:
- Love of free
people have a disproportionate love of free things
List 6 emotional impacts
- Risk aversion
- Overconfidence
- Loss aversion
- Self-control facilitation
- Hot and cold states
- Self-herding
List and define 6 emotional impacts
- Self-herding
future decisions may be made to justify past behaviors
List and define 6 emotional impacts
- Hot and cold states
being in a good or bad mood can lead to irrationally
optimistic or pessimistic decisions
List and define 6 emotional impacts
- Self-control facilitation
willingness to accept less freedom in order to facilitate saving
List and define 6 emotional impacts
- Loss aversion
bias to hold on to “losers” too long to avoid realizing losses
List and define 6 emotional impacts
- Overconfidence
overestimating one’s ability to make correct choices
List and define 6 emotional impacts
- Risk aversion
primary reason policyholders buy insurance: people don’t like risk
Define the bandwagon effect (social impact)
people do what they see other people do
List 4 behavioral economics principles that affect life insurance purchasing behaviors
- Decision Shortcuts
- Value Assessment
- Emotional Impacts
- Social Impacts
Describe behavioral economics principles that affect life insurance purchasing
behaviors
- Social Impacts
- “Masculine” societies buy more life insurance than “feminine” societies
Describe behavioral economics principles that affect life insurance purchasing
behaviors
- Emotional Impacts
- Loss-aversion – buying life insurance feels like a “loss” (buyer won’t get benefits)
- Overconfidence bias – people underestimate risk of death (especially men!)
- Hot and cold states – people are more likely to buy insurance after a tragedy
Emotional Impacts - solutions for insurers
- Solutions for insurers:
- Stretch the time horizon over which risk is measured
- Frame life insurance as an investment in loved ones
- Associate positive emotions with life insurance (e.g. par WL becomes “free”)
Describe behavioral economics principles that affect life insurance purchasing
behaviors
- Value Assessment
- life insurance is “sold, not bought”
- people anchor on unlikely-to-happen current health risks
- Insurers show/quantify the value over a lifetime
Describe behavioral economics principles that affect life insurance purchasing
behaviors
- Decision Shortcuts
- Life insurance is associated with a negative event (death)
- Framing: agents should sell a policy as a “disciplined, mandatory savings plan”
Describe behavioral economics principles that affect annuity purchasing behaviors:
- Decision Shortcuts
- annuitization involves complex decisions
- Mental accounting – consumers that view annuitization as a gamble will segregate the annuity
- Framing – people annuitize more often when they see it as consumption rather than investment
-
Default decision – many people opt out for a lump sum
- Possible solution: let people “test drive” the annuity
Describe behavioral economics principles that affect annuity purchasing behaviors:
- Value Assessment
- people hyperbolically discount future annuity payments (devaluing them)
- endowment effect – people don’t want to give up their assets
- availability heuristic + conjunction fallacy – people underestimate longevity risk
Describe behavioral economics principles that affect annuity purchasing behaviors:
- Social Impacts
- need to minimize the association between profit and death
Describe behavioral economics principles that affect annuity purchasing behaviors:
- Emotional Impacts
- Loss aversion – people are unwilling to “gamble” on “losing” their savings
- People don’t like the word “annuity”
Describe 2 actuarial academic lapse theories
-
Interest rate hypothesis
- High guaranteed credited rates lead to lower lapses
- Lapses increase with market interest rates and stock returns
-
Emergency funds hypothesis
- Policyholders surrender their policies due to financial distress
These are NOT based on behavioral economics
How do decision shortcuts affect policyholders’ decision to lapse or surrender? How should insurers respond?
- Mental accounting
- Premiums: expenses or savings?
- CSV: spending money or asset accumulation?
- Lapses decrease as savings mindset increases
- Marketing and product features can influence policyholder mindset
How do decision shortcuts affect policyholders’ decision to lapse or surrender? How should insurers respond?
- Relative choices
- Policyholder’s “fair value” of current contract may be irrational
- May lapse if other contracts’ features seem more attractive
- Insurer should:
- Be careful in how product is presented
- Be aware of other products policyholders will compare against
How do policyholders assess the value of contracts, and how does that affect their decision to lapse?
-
“Value” is a relative concept
- Influenced by emotions rather than rational decisions
- Tone of questions can influence answers
- “Live to X years” vs. “die by X years”
-
Hyperbolic discounting
- Policyholders are likely to postpone financial planning
-
Love of free
- Policyholders may prefer self-supporting products that seem “free”
Emotional component of life and annuity products
- Life: Pay premiums but never see death benefit
- Annuity: Avoid relying on family members in retirement
How do emotional impacts impact policyholders’ decision to lapse?
- Hot and cold states
- Anxiety may influence lapse and withdrawal decisions
- Marketing and other communications could trigger hot states
How do emotional impacts impact policyholders’ decision to lapse?
- Self-control facilitation
- Some European countries require higher CSVs
- Increasing policyholder options may not be in policyholders’ best interests
How do emotional impacts impact policyholders’ decision to lapse?
- Loss aversion
- Policyholders may hold a “loser” VA contract (but guarantee may be a “winner” if ITM)
- LTCI: policyholders persist to avoid pain of “losing” premiums paid
How do emotional impacts impact policyholders’ decision to lapse?
- Risk aversion
Lapses increase when risks go away (pay off mortgage, child goes to college)
How do social connections impact policyholders’ decision to lapse?
- Decisions are affected by family, friends, and other social contacts
-
Bandwagon effect
- May affect mass lapse risk and liquidity strain
How do decision shortcuts affect premium and funding levels?
- Reliance on defaults
- Policyholders. . .
- May follow target premium illustrations
- Tend to pay same premium as last period
- Many actuaries assume recent patterns experience will continue
How do decision shortcuts affect premium and funding levels?
- Status quo bias
- Increases policyholder inertia and procrastination
How do value assessments affect premium and funding levels?
- Anchoring
- Numbers in marketing materials may influence funding
- Avoid unintended anchoring in communications
How do value assessments affect premium and funding levels?
- Hyperbolic discounting
- Decisions to pay premiums may trigger “pain”
- Higher premium payment frequencies = more pain per year
- Solution: frame premiums as savings rather than expenses
How does self-herding affect premium and funding levels?
- Policyholders may continue paying a premium because it’s what they did in the past
How do decision shortcuts affect the timing of withdrawals?
- Mental accounting
- A savings perception may delay taking withdrawals
- Tendency to see annuities as a “first source” of retirement income
How do decision shortcuts affect the timing of withdrawals?
- Reliance on defaults
- Communications may signal when they should begin withdrawing
- Product design may send signals (e.g. setting “full-benefit age,” bonuses)
How doese overconfidence affect the timing of withdrawals?
- Tendency to underestimate retirement date
- Tendency to base financial planning on “best case” scenarios
- Actual product use may be very different than planned
- Tendency to underestimate future expenses
How do decision shortcuts affect the amount of withdrawals?
- Mental accounting
- Policyholders may not realize how fungible money is
- Withdrawal patterns may be tied to “mental buckets”
- Understanding how policyholders perform mental accounting may reduce uncertainty
How do decision shortcuts affect the amount of withdrawals?
- Reliance on defaults
- Withdrawals may be based on amounts endorsed by experts or social norms
How do value assessments affect the amount of withdrawals?
- Anchoring
- Withdrawals may be influenced by irrelevant numbers shown to policyholders
How do relative choices affect investment decisions and fund transfers?
- “1/n rule” and “conditional 1/n rule”
- Tendency to allocate money equally over all or a subset of choices
- Overwhelmed policyholders seek safer options
- Number and presentation of investment options has a large impact on allocations and policyholder satisfaction
How does framing affect investment decisions and fund transfers?
- “Retirement account” vs. “asset accumulation tool”
- More form lines ⇒ more selections made by policyholders
How does mental accounting affect investment decisions and fund transfers?
- Policyholders may allocate “old money” vs. new money
How does reliance on defaults affect investment decisions and fund transfers?
- Tendency to follow insurer’s suggested allocations
- Relying on defaults reduces policyholder’s future regret
How does procrastination affect investment decisions and fund transfers?
- Tendency to put off changing allocations for long periods of time
- Tendency to leave designated “savings” alone despite better opportunities
- Insurer considerations: balance profit opportunities with regulatory scrutiny
How does risk aversion impact investment decisions and fund transfers?
- Risk averse policyholders more likely to choose bond funds over stock funds
How does loss aversion impact investment decisions and fund transfers?
- Tendency to hold “loser” stocks to avoid realizing losses
- Policyholder’s decision environment is different that stock investor’s:
- VA reallocations don’t trigger taxes
- Insurance guarantees may offset account losses
- Insurer should:
- Present distribution of outcomes over a long-term horizon
- Reduce feedback frequency
How does overconfidence impact investment decisions and fund transfers?
- May result in high levels of trading (men suck!)
- “Law of small numbers” – drawing inference from small data sets
- “Availability bias” – overweighting salient, personal, or friends’ experience
How do hot/cold states impact investment decisions and fund transfers?
- Market signals trigger emotional states (fear, anxiety, optimism)
- Insurers/advisors may also stimulate policyholder states
What social impacts affect investment decisions & fund transfers?
-
Bandwagon effect
- Your beliefs ≈ your friends’ beliefs
- More pronounced during unusual changes in society, technology, or economy
- May result in poor market timing
How is annuitization affected by decision shortcuts?
- Reliance on defaults
- Annuitization usually requires an active decision (opt-in)
- Insurers could make annuitization a default option
How is annuitization affected by decision shortcuts?
- Framing
- Annuitization utilization may increase with:
- Marketing and education for the need for retirement income
- Increased focus on income stream, not account balance
- Avoid making the income stream seem like a “loss”
- Offer trial periods
How is annuitization affected by emotional impacts?
- Risk aversion
Certain income streams create mental ease
How is annuitization affected by emotional impacts?
- Loss aversion
Income stream more likely to seem like a “loss” if policyholder thinks it lasts only a few years
Describe drawbacks of the traditional actuarial approach to modeling policyholder behavior
-
Aggregate level modeling – does not consider socio-demographic, attitudinal, or behavioral factors
- Causal factors behind lapse decisions are lost
- Removing variation in data hurts model
- Rational approach – does not account for social, cognitive, and emotional factors
What are the limitations of predictive analytics for modeling policyholder behavior?
- Fails to capture causal influences and non-quantitative factors
- Fails to model decision shortcuts, psychological biases, etc.
- Doesn’t capture life events (e.g. marriage) that trigger a life insurance purchase
How is predictive analytics is an improvement over traditional actuarial models for modeling policyholder behavior?
- Can operate on variables about the individual (age, education, etc.)
- Can predict behaviors triggered by environmental changes
Describe possible approaches with the most potential for policyholder behavior modeling
- Move from statistical averages to understanding household decision-making
- Model the causal structure of decision making, including the effect of biases
Describe possible future advances in policyholder behavior modeling based on developments in other industries
- “Smarter” databases containing data “micro data”
- Exponential advances in computational power
- Better understanding of decision-making processes and behaviors
Profitability test with zero lapse rate or under illustration rules
- Lapse-supported if
- PV profits under test < PV profits with normal lapse assumption
- Else, the product is unlikely to ever be lapse-supported
- ASOP 24: can’t show illustrations if policy fails self support test
Common features of lapse-supported insurance
- guaranteed level premiums
- low/zero CSV
- high late benefits
What happens when lapse-supported insurance premiums are too low
- results in insufficient reserves
- warning sign: higher-than-expected early profits
Where is the risk in lapse-supported insurance?
- ultimate lapses, not early lapses
- lower-than-expected early lapses increase profit
- lower-than-expected ultimate lapses increase benefit costs
What is the highest risk for lapse-supported insurance?
- High income market
- Competitive/marketing pressures keep premiums low
- Policyholders are least likely to lapse
- Agent persistency data may be an illusion due to past replacement activity
What are the benefits of ROP w.r.t. lapse risk?
- Less risky if lapses are driven by independent events (e.g. employee turnover)
- Help blocks/companies with poor persistency
- Increase profitability in low income markets
Describe how return-of-premium riders can affect lapse risk
- ROP riders create a tontine – everyone pays in, but only “survivors” collect ROP
- Bad investment for policyholder on lapse-adjusted basis
- ROP cash value is not enough to lower the risk of low lapses
- ROP can convert limited-pay products to lapse-supported
What was the key finding from the SOA’s study on flexible premium UL premium persistency?
- Many companies simply assume 100% premium persistency
- Aggregate premium falls with duration due to limited pay business
- Companies often vary persistency by duration
Pricing assumptions vs. CFT and GAAP/IFRS from the SOA’s study on flexible premium UL premium persistency
- Pricing assumes more patterns in general
- Some companies use a weighted average persistency assumption
- Companies adjust ULSG pricing persistency to prevent lapses
Areas for improvement from the SOA’s study on flexible premium UL premium persistency
- Dynamic premium persistency assumptions
- Sensitivity testing
*few companies currently doing
Describe a viatical settlement and the viatical market
- when an insurer buys a life insurance policy and then recieves the death benefit when the insured dies
- the first life settlements that showed up in the 1980s (focused on life expectancies < 2 years)
Describe the traditional life settlement market
- High growth market
- Popular with large face policies owned by impaired lives
- Policyholders sell their policies to the highest bidder
- Policyholder receives more than CSV
- Investor holds policy at fair market value
Problems that have occurred due to increasing bidding activity in the traditional life settlement market
- Investors taking more risk—buying policies with longer life expectancies
- Overpayment due to intense bidding
- Lack of compensation disclosure
List 3 forms of premium financing life settlements
- Insured Borrows Money To Buy Policy
- Charity-Owned Life Insurance
- Stranger-Owned Life Insurance
Describe 3 forms of premium financing life settlements
- Stranger-Owned Life Insurance
- Works like charity-owned
Describe 3 forms of premium financing life settlements
- Charity-Owned Life Insurance
- Investors lend money to purchase a policy
- The charity has an insurable interest in the donor
- When insured dies, investors and charity split the DB
Describe 3 forms of premium financing life settlements
- Insured Borrows Money To Buy Policy
Wait 2 years, then policyholder can. . .
- Repay loan and keep policy or
- Transfer policy to lender as a life settlement
What is another proposed solution to life settlements?
- Pay policyholders a higher CSV based on updated underwriting
How have insurers have responded to life settlements?
- Limit number of illustrations provided and response time
- Public announcements portraying settlements as a bad deal for policyholders
- “If you can’t beat ’em, join ’em”
Insurers mostly don’t like life settlements
What 5 factors are likely to drive growth in settlement market?
- Continued strong demand for larger face policies
- Premium-financed policies transfered to investors
- Settlement companies’ ability to estimate life expectancy more accurately than standard tables
- Preferred underwriting may wear off => settlement value > cash value
- Investors will likely target low premium products to exploit mispricing
How will life settlements impact pricing?
- Settlement policies will get minimum funding needed to keep them in force
- High persistency and high mortality, especially at older ages
- Inefficiencies in policyholder behavior may go away
- AXXX reinsurance is getting harder to find
- Economic underwriting – underwriting may ultimately improve thanks to investors
- High settlement activity can be a sign that the product is mispriced
Describe key variations in life expectancy data related to life settlements
- LE falls with age and is lower for males
- Most life settlements involve impaired insureds (lower LE than standard)
Difference between standard and impaired life expectancy
- difference falls with age
- difference has been falling overall with time
Why standard and impaired LEs in life settlements have been converging
- Underwriting is getting better and/or more conservative
- LEs may be improving
- Increased investor demand for longer LEs
Describe the typical types of life insurance involved in life settlements
Typical life settlement: $1–10MM UL policy on a NS Male age 70-something
- Mostly UL (88%), then VUL, WL, and term
- Most owned by trusts or individuals
- Standard life settlement (most common) – medically underwritten (DB>$1MM)
- Simplified life settlement – less underwriting, smaller policies (DB
- Most involve single lives (3 out of 4 are male)
- Nearly all are non-smoker
- Insured age distribution is symmetric around age 75
Describe trends in DB retention in life settlements and simplified life settlements
Retained DB has been increasing over time
- Benefits for investors
- Better aligns incentives of investors and policyholders
- Death is reported more promptly
- Benefits for policyholders
- Retain some DB while eliminating premium payments
- Appealing to policyholders who can’t afford premiums or new coverage
Ways simplified life settlements are gaining popularity
- Close faster (less underwriting)
- Market is spreading to middle class
- Baby boomers need the cash for other things
How is the expected IRR of a life settlement determined?
Expected IRR = discount rate such that:
PV(DB Payable to Investor) - PV(Premiums) = Purchase Price
*IRR can also be expressed as a spread over treasuries
ILA
average expected IRR of a life settlement
- 12.5%
- IRRs are positive even if actual LE is 3 years higher than expected
3 competing hypotheses for the adverse selection hypotheses that might explain expected IRR on a life settlement
- H0: Retained DB has no effect on expected IRR
- H1: Higher retained DB ⇒ lower expected IRR
- H2: Higher retained DB ⇒ higher expected IRR
Properties of adverse selection hypotheses that might explain the expected IRR on a life settlement
- H2: Higher retained DB ⇒ higher expected IRR
- “Continued demand hypothesis”
- Policyholders are willing to accept lower offers to retain more DB
- Lower price ⇒ higher IRR for investor
Properties of adverse selection hypotheses that might explain the expected IRR on a life settlement
- H1: Higher retained DB ⇒ lower expected IRR
- Adverse selection: unhealthy insureds should want to retain more DB
- Investors are more likely to overpay as retained DB decreases (“single-crossing property”)
- Higher price ⇒ lower IRR for investor
Describe supply side hypotheses that might explain the expected IRR on a life settlement
- H3: Higher premium convexity ⇒ higher IRR
- Increasing premium schedules create risk for investor
- H4: Smaller policies create diversification ⇒ lower IRR
- Buying larger numbers of small policies creates diversification
- H5: Large policies dilute fixed costs ⇒ lower IRR
- Cost per amount of DB is lower for high DB policies
- H6: More underwriting LE estimates ⇒ lower IRR
- More information on life expectancy reduces investor risk
H4 & H5 oppose each other!
Describe regression model variables that predict the IRR of a life settlement
- HighNDB
- ß Value = 0.00 to 0.03
- Interpretation: >10 million face policies have up to 3% higher
IRR than < 1 million face policies
Describe regression model variables that predict the IRR of a life settlement
- LEest2, LEest3–4
- ß Value = -0.0055, -0.0044
- Interpretation: IRR is lower if have more than 1 LE estimate
(supports H6)
Describe regression model variables that predict the IRR of a life settlement
- SLS
- ß Value = -0.04
- Interpretation: Simplifed settlements for lower face policies
have lower IRRs (supports H4, not H5)
Describe regression model variables that predict the IRR of a life settlement
- Convexity
- ß Value = 0.02
- Interpretation: IRR increases as premium slope increases
(supports H3)
Describe regression model variables that predict the IRR of a life settlement
- RDB/NDB
- ß Value = 0.11 to 0.14
- Interpretation: Presence of retained DBs increases IRR
(supports H2, not H1)
Describe regression model variables that predict the IRR of a life settlement
- MediumNDB
- ß Value = 0.00 to 0.01
- Interpretation: 1–10 million face policies have up to 1% higher
IRR than
What hypotheses are supported by the regression model testing performed by the authors of “Testing for Adverse Selection in Life Settlements?”
- The results show that expected life settlement returns are driven by economic factors:
- H2: Continued demand for life insurance hypothesis
- H3: Premium convexity hypothesis
- H4: Diversification hypothesis
- H6: Model uncertainty hypothesis
- Expected IRRs are not driven by adverse selection by policyholders
Compare the popularity of guaranteed living withdrawal benefits with other types of guaranteed living benefits
-
GLWB and GMIB are most popular by far
- 88% of VA contracts in study had a GLWB or GMIB
- GLWB has the highest sales growth (most premium occurs year 1)
- The GLWB is significantly more popular than the non-lifetime version (GMWB)
- GLWB and GMIB have the highest persistency (very low surrender rates)
- GMAB is popular with younger buyers
List the 4 inter-connected relationships involving GLWB and GMIB utilization
- When withdrawals start
- Method of withdrawals
- Amount of withdrawal taken
- Surrender rates
Describe the inter-connected relationships involving GLWB and GMIB utilization:
- Surrender rates
- factors that result in low surrenders:
- Older owners (65+) in general—even lower if taking withdrawals
- Younger owners not taking withdrawals yet
- SWPs have lower surrenders than non-systematic
- Withdrawal amount ≈ 100% of max amount (not too far below/above 100%)
- Higher ITM ⇒ lower surrenders
- Still in surrender charge period (higher lapse when exiting)
Describe the inter-connected relationships involving GLWB and GMIB utilization:
- Amount of withdrawal taken
- Most owners take the max allowed by contract (e.g. 4% of benefit base per year)
- Younger owners are more likely to exceed max
- ITM has little to no effect
Describe the inter-connected relationships involving GLWB and GMIB utilization:
- Method of withdrawals
- SWPs most significant
- SWPs are popular for lifetime benefits and older owners (65+)
- Withdrawals usually continue once they start (low surrenders)
Describe the inter-connected relationships involving GLWB and GMIB utilization:
- When withdrawals start
- age and source of funding most significant
- after age 70, withdrawals increase with age and duration
- 2/3 of contracts are funded with qualified money (tax-favored retirement funds)
List action steps and issues that an actuary should consider when pricing VA GLBs
-
Expect high utilization of lifetime benefits (hence low lapses)
- Many will be used to fund retirement
- GLB riders are popular
- Qualified money has the highest withdrawal risk
- Withdrawal activity can predict surrender activity
- Modeling GLB utilization is important, especially for lifetime options
Product design of VA GLBs
- GMWB
- All offer step-up options (i.e. ratchet to AV)
- Differences with GLWB
- No automatic increase to benefit base if delay withdrawals
- No cap on benefit base
Product design of VA GLBs
- GMAB
- Most common benefit base design: 100% of premiums paid in
- Typical waiting period: 10+ years
Product design of VA GLBs
- GMIB
- Most common design: roll-up or max(roll-up, ratchet)
- Most are B-share (have SCs)
- Annuitization rates are extremely low (0.3%), but increase with age, size, and ITM
Product design of VA GLBs
- GLWB
- Lifetime benefits available from ages 50–99 (usually 54–84)
- Median max withdrawal allowed = 4%
- Benefit base usually reduced proportionally for excess withdrawals
Describe the purpose and scope of ASOP 54
-
IN Scope: applies to actuaries who price life and annuity products
- Products written on individual policy forms or equivalent
-
NOT in scope:
- Changes to non-guaranteed elements or dividends on in-force policies
- See ASOP 2
- Reinsurance contract pricing
- Illustration of non-guaranteed charges or benefits
- Changes to non-guaranteed elements or dividends on in-force policies
Describe initial pricing considerations under ASOP 54
- Relevant Characteristics of the Product
- Intended product design objectives
- Intended market, anticipated sales, and competitive alternatives
- How the product will be sold (underwriting, distribution, etc.)
- How the product will be administered (valuation systems, operational risks, etc.)
- Risk mitigation strategies (reinsurance, hedging, etc.)
- Applicable law (statutes, regulations, etc.)
- Tax treatment of the product
Describe initial pricing considerations under ASOP 54
- Criteria of the Actuary’s Principal
- Choice of profitability metrics
- Targets for profitability metrics (product level, cell level, etc.)
- Approach for reflecting risk capital
- Relevant risk management policies (e.g. earnings volatility limits)
Describe considerations for selecting profitability metrics under ASOP 54
- actuary should consider more than one (IRR, ROE, BEY, etc.)
- Considerations When Selecting a Profitability Metric
- Expected pattern of profits over time
- Significance of underlying risks (e.g. size and pattern of risk capital)
- Any other relevant considerations
List model development and selection considerations under ASOP 54
- Time horizon
- Granularity
- Dynamic assumptions
- Asset returns
- Economic scenarios (MC or RW)
- Accounting and actuarial bases
- Risk capital framework
- Taxes
- Risk evaluation
- Risk mitigation
- Model validation
List model development and selection considerations under ASOP 54
- Time horizon
- sufficient to capture profitability and risks
List model development and selection considerations under ASOP 54
- Granularity
- include necessary detail (time intervals, assumptions, etc.)
List model development and selection considerations under ASOP 54
- Dynamic assumptions
- policyholder behavior, etc.
List model development and selection considerations under ASOP 54
- Asset returns
- should be consistent with company practice
List model development and selection considerations under ASOP 54
- Economic scenarios
- (MC or RW) – represent an appropriate range
List model development and selection considerations under ASOP 54
- Accounting and actuarial bases
- statutory, GAAP, tax, etc.
List model development and selection considerations under ASOP 54
- Risk capital framework
- reflect the framework used in practice
List model development and selection considerations under ASOP 54
- Taxes
- model should be based on expected tax structure and related items
List model development and selection considerations under ASOP 54
- Risk evaluation
- model should evaluate risks appropriately
List model development and selection considerations under ASOP 54
- Risk mitigation
- reflect strategies that will support the product
List model development and selection considerations under ASOP 54
- Model validation
- model should be sufficiently transparent
Describe pricing assumption considerations under ASOP 54
- based on relevant and credible data
- margins (credibility, uncertainty, appropriateness in aggregate)
- consistent internally, with company practices, and with similar assumptions
- reflect interdependencies with each other
- document assumptions, margins, rationale, and any data modifications
Specific assumption setting considerations under ASOP 54
- Anticipated sales distribution
- RW or MC theory for investment/economic market assumptions
- Mortality/morbidity
- Policyholder behavior (elective benefits, lapses, etc.)
- Anticipated expense inflation and expense allocation basis
- In-force management strategies (e.g. policyholder dividends)
- Capital market assumptions – replicating portfolio performance
Describe risk evaluation considerations when performing profitability analysis under ASOP 54
- Sensitivity Analysis – evaluate how assumption deviations impact profitability (more for more impactful assumptions)
- Stochastic Analysis – appropriate for interest rate and equity returns
- Consider risk mitigation strategies
Describe governance and control considerations under ASOP 54
*Consider and document any used in pricing
- Effective oversight of methods and assumptions
- Protection of the model from unintentional/untested changes
- Model input validation
- Consistency of model values with those calculated outside the model
- Validation of projected model values
- Review of assumptions by a knowledgeable person
List actuarial communications required by ASOP 54
Required disclosures:
- Criteria of the actuary’s principal
- Relevant product characteristics
- Profitability metrics
- Considerations used to determine the model
- Material pricing assumptions
- Results of risk evaluation
-
Reliance on
- Governance and controls used by others
- Data or other information supplied by others
- Assumptions provided by others
- Results of the profitability analysis
Which ASOP is for general guidance on actuarial communications
ASOP 41
Describe the following with respect to the Proposed ASOP on Setting Setting Assumptions:
- Effective Date
- actuarial work with an information date >= 12 months after this ASOP is adopted by the ASB
Describe the following with respect to the Proposed ASOP on Setting Setting Assumptions:
- Scope
-
ALL practice areas
- Developing, selecting/choosing assumptions, analysis of data/experience,
- industry studies, trends, economic forecasts, etc.
- Includes the selection of assumption methodology
- Specific practice ASOPs govern if they conflict with this ASOP
Describe the following with respect to the Proposed ASOP on Setting Setting Assumptions:
- Purpose
- Provides guidance to actuaries performing actuarial services that include
- Setting assumptions
- Assessing the reasonableness of assumptions set by others
Describe general considerations for the actuary when setting or assessing the reasonableness of assumptions.
- Nature of assignment
- Availability/relevance/credibility of data
- Other available/relevant information
- Will future experience differ significantly from past experience?
List ways to assess reasonableness of assumptions
- Consider reasonableness of material assumptions, selection methodology, and any tendency to misestimate
- Assess whether assumptions are reasonable in aggregate (determine adjustments)
- Ensure assumptions are NOT set to counteract prescribed assumptions
- Disclose material inconsistencies in non-prescribed assumptions
Describe considerations for the actuary when setting margins for adverse deviation and considering changes in conditions through the information date
-
Margins for Adverse Deviations – consider appropriateness
- Consider uncertainty in underlying data
-
Changes in Conditions Through the Information Date:
- Internal circumstances: changes in claims processing, business mix, etc.
- External circumstances: changes in economy, laws, regulations, technology, etc.)
Describe proposed ASOP guidance for the following issues related to assumption settting:
- Prescribed assumptions set by law
- disclose but don’t assess
Describe proposed ASOP guidance for the following issues related to assumption settting:
- Assumptions set by others
- assess reasonableness
- follow Precept 8 of the Code of Professional Conduct (don’t mislead!)
Describe proposed ASOP guidance for the following issues related to assumption settting:
- Reliance on others
- Disclose reliance on experts (investment advisers, economists, etc.)
- Actual assumption MUST be set based on the actuary’s judgment
- If actuaries collaborate, the signing actuary is responsible
Describe proposed ASOP guidance for the following issues related to assumption settting:
- Alternative assumptions
- Evaluate the alternative assumptions using sensitivity analysis
What actuarial communications are required for assumption setting?
Disclose the following if practical and relevant:
- Material assumptions – provide sufficient detail for another qualified actuary to assess
- Material changes in assumptions since the most recent comparable results
- Events on or after the information date that may affect the assumptions
- Material inconsistencies in assumptions along with reasons for
- What the actuary is taking responsibility for (setting the assumptions)
Refer to ASOP 41: “Actuarial Communications” for additional guidance
List challenges associated with developing mortality assumptions
- Lack of past experience consistent with today’s UW criteria
- Uncertainty about:
- Preferred/residual ratios—how they change over time
- Slope of aggregate rates over S&U period
- Anti-selection after level term period unknown
- Mortality improvement
- Lack of consistent data
- Uncertainty whether past improvement will continue in future
Dukes MacDonald (D-M) method
- n% of reverters are fully select
Becker-Kitsos (B-K)
- all reverters’ mortality = fully select + extra amount that grades off
Compare the Dukes MacDonald (D-M) and Becker-Kitsos (B-K) methods
- Both take a conservation of deaths approach
- Both assume the excess lapse group is made up of
- Select lives
- Normal lives
- Effect of both: Lower reverter mortality => higher persister mortality
Describe the following with respect to term mortality and lapses.
- Recommended Sensitivity Tests
- Vary total and excess lapse rates assumed
- Vary parameters in D-M and B-K approaches
- Assume no profits after level premium period
Describe the following with respect to term mortality and lapses.
- Disadvantages of Not Offering Post-Level Term Coverage
- Loss of profit from high premiums paid by persisters
- Lower GAAP income
- Not as marketable to policyholders
Describe the following with respect to term mortality and lapses.
- Limitations of D-M and B-K
- No classification by underwriting class
- Ignores premium size in ART period
- Assumes 100% rational policyholder behavior
Describe the key shock lapse patterns from the SOA’s “Report on the Lapse and Mortality Experience of Post-Level Premium Period Term Plans”:
- Shock lapse rate relative to level period
- Factors that drive variations in post-level lapse experience
- Aggregate duration 10, 11, and 12 lapses = 70%, 40%, < 20%
- Shock lapses increase with:
- Premium jump size
- Issue age
- Males
- Super preferred
- Face amount
- Annual mode (lower frequencies)
- Issue age and/or face within premium jump group
- Shock lapses are heavily skewed to EOY 10 and BOY 11
Describe the relationship between lapse and mortality in the post-level period
- Mortality deterioration is highly correlated with shock lapses
- Rises at an exponential rate with shock lapse size
Describe key patterns in post-level mortality experience uncovered by the SOA’s “Report on the Lapse and Mortality Experience of Post-Level Premium Period Term Plans.”
-
Aggregate duration 11 mortality = 300% of level period
- Drops to 200% in duration 12, then declines slowly
-
Mortality increases with the same factors that increase shock lapse:
- Premium jump size
- Issue age
- Males (slightly)
- Super preferred
- Face amount
- Mortality deterioration is skewed toward BOY 11
Describe how early post-level term experience has emerged
- Overall: experience is very limited
- Degree of mortality deterioration is unknown
- Early lapse experience has been lower than expected
Possible explanations for lower post-level term lapses
- Policyholder complacency (automatic bank draft)
- Still shopping for lower rate
- Some may be OK with higher cost
- Reluctance to go through underwriting
- Personal situations that delay lapse (e.g. divorce)
Describe traditional approach for determining post-level term premiums and its advantages and disadvantages.
- The Approach: Assume shock lapses and develop a single YRT ceiling
- Advantage: simplest to administer
-
Disadvantages
- Worst risks remain in force
- Claims volatility due to limited credibility
- Potential for negative publicity
Describe the simplified re-underwriting approach for determining post-level term premiums and its advantages and disadvantages
- The Approach
-
The Approach:
- Optional questionnaire determines PLT rate class (e.g. SM/NS)
- If decline survey: default to original YRT ceiling
Describe the simplified re-underwriting approach for determining post-level term premiums and its advantages and disadvantages
- Advantages
-
Advantages:
- Greater sense of fairness to policyholders and regulators
- Lowers selective lapsation
- Insured gets lower rate and insurer has more confidence in rates
Describe the simplified re-underwriting approach for determining post-level term premiums and its advantages and disadvantages
- Disadvantages
-
Disadvantages:
- May be an early signal that increases lapses and/or term conversions
- Must solve implementation problems
- Communication to policyholders, questionnaire design, how to handle incomplete questionnaires, how to maximize response rate
Describe the graded approach for determining post-level term premiums and its advantages and disadvantages
- The Approach
-
The Approach:
- PLT premiums increase at a smaller increment intially (e.g. 5 years) before reaching YRT scale
Describe the graded approach for determining post-level term premiums and its advantages and disadvantages
- Advantages
-
Advantages:
- Makes initial PLT rates more attractive (lower lapses)
- Insurer can still increase to YRT ceiling
- Avoids underwriting
- Low administrative cost
- Early experience suggests it works as intended
Describe the graded approach for determining post-level term premiums and its advantages and disadvantages
- Disadvantages
-
Disadvantages:
- Best risks can still lapse to get better rates
- No reliable experience for post-graded YRT period
- Experience is Canadian ⇒ will the U.S. be the same?
Describe the class continuation approach for determining post-level term premiums and its advantages and disadvantages.
- The Approach
-
The Approach:
- Maintain level term class structure into PLT period
- Develop separate YRT scales by class
- All YRT scales converge to an ultimate scale (original YRT scale)
Describe the class continuation approach for determining post-level term premiums and its advantages and disadvantages.
- Advantages
-
Advantages:
- May be “the fairest approach” since it uses original underwriting
- YRT scale encourages/discourages lapses based on class
- Permanent insurance experience could be used for classes
Describe the class continuation approach for determining post-level term premiums and its advantages and disadvantages.
- Disadvantages
-
Disadvantages:
- Lack of experience with the approach
- Preferred classes will have lowest initial YRT premiums but steepest slope
- Permanent pricing can’t be used directly
- Selective lapse risk from preferred insureds who have become impaired
Describe shock lapses in the context of the Dukes-MacDonald selective lapsation model
-
Shock lapse – high, additional lapse rate at end of level premium period
- Healthy lives aren’t willing to pay the higher post-level premiums
Describe the Dukes-MacDonald selective lapsation model
- D-M predicts the expected mortality after a shock lapse
- Split shock lapses into and persisters and reverters:
- Persisters – lives remaining after the shock lapse
- Reverters – lives in the shock lapse group
- Effectiveness rate – The percentage of reverters that qualify for select mortality
- Use the conservation of deaths principle to solve for persister mortality
Give a formula for Conservation of Deaths.
qnorm = qsel x weff + qnorm x (wnon-eff + wbase) + qpers x (1 - w)
qsel = select issue age mortality
qnorm = normal, point-in-scale mortality
qpers = mortality of persisters remaining in force
w = total lapse rate at the time of the shock lapse
w<span>base </span>= normal base lapse rate in absence of shock lapse
w<span>shock </span>= w - wbase
weff = “effective reverters” = effectiveness rate x wshock
wnon-eff = non-effective reverters = wshock - weff
Describe important considerations for setting a post-level mortality assumption
-
Shock lapses and expected mortality are closely related
- Do not set assumptions independently!
- D-M mortality predictions are sensitive to the effectiveness rate assumed
-
Effectiveness depends on policyholder behavior
- Information about health
- Ability to replace coverage
- Other factors also drive shock lapses, but D-M provides useful boundaries
How does ultimate lapse experience vary by level term length (10, 15, and 20 years)?
- Ultimate lapse rate falls as term length increases:
- T10: 6%
- T15: 4%
- T20: 3%
How do level term lapse rates vary with the following?
- Issue age
- Risk class
- Smoker vs. non-smoker
- Joint lives vs. single lives
- Gender
- *Lower lapses for. . .**
1. Older issue ages
2. Preferred classes
3. Non-smokers
4. Joint products
Male lapses ≈ female lapses
What did the industry learn from Canadian experience with early T100 products?
-
T100: Guaranteed Level Premiums to 100, no CSV
- Early pricing assumed 6% ultimate lapse rates
- Actual ultimate lapse rates were less than 2% (oops!)
- Lower lapses led to much higher reserves and lower income
- Lessons learned can apply to other lapse supported products
- Examples include SGUL, LTCI, ROP Term
“Death Supported” Concept from Canadian experience with early T100 products
- Ceding company gains if mortality > expected
- Possible if reinsurance premiums > T100 premium
Describe challenges with term conversions
- Term conversions have a higher mortality cost due to anti-selection: qc[x] + t > qsx + t
- Companies may not even know the cost of their term conversions
- Data credibility problems: administrative system data is poor or doesn’t exist
- Historical data may understate conversion activity
Describe solutions with term conversions
- Use industry data to validate company-specific data
- Reinsurers can help direct writers by sharing data and insight
Describe price and competitive pressures with term conversions
- Term products are VERY competitive
- Sales are VERY sensitive to price
- LOTS of pressure to keep premiums LOW
- Conversions add value but also cost → where do you reflect the cost?
How can term products be designed to restrict or encourage conversions?
-
Features that restrict conversions
- Limit to N years after issue
- Maximum attained age
- Not available during active disability premium waiver
-
Products that encourage conversions
- ART-to-permanent conversions (targeted at younger buyers)
How do direct writers reflect conversions in pricing?
-
Include in permanent product pricing
- Advantage: keeps term premium low
- Difficulties: hard to estimate conversion utilization and permanent plan sales volume
-
Solutions:
- Use conservative load in permanent premium
- Develop a conversions-only product (may be unattractive)
-
Include in term pricing
- Advantage: aligns conversion cost with originating term product
- Include cost of agent compensation and conversion credits
-
Include in term pricing but scale back availability
- Limit to N years after issue
- Offer 2 term products
How do reinsurance treaties cover term conversions that occur in term block reinsured?
- Use point-in-scale YRT rates
- Coinsurance treaties: YRT rates apply only to conversions
-
YRT treaties:
- Increase overall YRT rates OR
- Use separate YRT rates for conversions
How do reinsurance treaties cover term conversions in permanent plan reinsurance pricing?
- May already be covered if also reinsure term plans
- Future future conversions, 3 areas of uncertainty: mortality, volume, mix
- Solutions:
- Separate YRT scale for converted policies
- Single, substantially loaded YRT scale
Describe how to develop point-in-scale mortality rates
- First, calculate the following A/E ratios:
- Converted A/E
- Level Period A/E
- Can be count- or amount-based
- PISM ratios = ratios of the above A/E ratios:
Converted A/E / Level Period A/E
- level period experience is a proxy for true permanent policy experience
Describe key patterns in conversion rates uncovered by the SOA’s study of conversion experience
-
Term conversion rates are highest at end of level period
- Late duration conversion rate ≈ 5x first year
- Under 1% in LP, then jump to 5% late in LP
- Larger policies are more likely to convert
- Late duration conversion rate ≈ 5x first year
Describe key patterns in post-conversion mortality uncovered by the SOA’s study of conversion experience
-
Post-conversion mortality is much higher for late duration converters
- PISM ratios are 180–220% in the first year after conversion
- Mortality is higher for large policies (PISM by amount > PISM by count)
- PISM ratios decline but stay above 100% (anti-selection reduces)
Describe key patterns in post-conversion lapse rates uncovered by the SOA’s study of conversion experience
- Highest in the initial durations after conversion (4–6%)
- Late converters have lower lapse rates than early or mid
Describe the importance of a grace period adjustments in a lapse or conversion study
- 30–60 day period after premium due date
- Policyholder can still make past due payment without lapsing
- Without adjustments, lapses will spike in month 2 of each policy year
- Adjustment moves the lapse back to premium due date
- Results in higher proportion of lapses in month 12 of each policy year
- Same concept applies to conversions
List 3 philosophies for covering the cost of conversions
- Reflect conversion cost in term pricing
- Develop separate permanent premiums for conversions
- Reflect extra conversion mortality in permanent policy pricing
Describe philosophy covering the cost of conversions:
- Reflect extra conversion mortality in permanent policy pricing
- Might be appealing if insurer has mature experience
- Can make permanent mortality artificially high
Describe philosophy covering the cost of conversions:
- Develop separate permanent premiums for conversions
- Avoids cross-subsidization but is administratively challenging
- Alternatively, could reinsure conversions using YRT PISM rates
Describe philosophy covering the cost of conversions:
- Reflect conversion cost in term pricing
- (most common)
- This is what the author of this article advocates
- Allows reserves to build for conversions
- Aligns revenue with the source of risk (term “swaption”)
Describe the two stage model for pricing term conversions
- At issue, determine the expected extra mortality cost for term conversions
- Calculate the charge for term policyholders
At issue, how do you determine the expected extra mortality cost for term conversions?
For each year when a conversion is possible calculate:
Extra NSP for Conversions = Kx,r = PVFBConverted - PVFBStandard WL
= reserve for conversions at duration r
How do you calculate the level conversion charge for term policyholders?
Ax,r = rpx x ex,r x Kx,r x vr
Total PV of Expected excess mortality = Σ Ax,r
Level Conversion Charge = (Total PVFB of Excess Mortality / äx:n)
Describe factors that cause the cost of conversions to vary
-
Conversion cost increases when base mortality increases
- Higher issue ages
- Males (compared to females)
- Smokers (compared to non-smokers)
- Non-preferred (compared to preferred classes)
Describe the relationship between conversion period length and conversion cost
-
Restricting the conversion period reduces the cost of conversion
- Disallowing conversions after year 10, reduces cost roughly 30%
- Caveat: policyholders will accelerate conversions in response