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Pricing Excess Workers Compensation

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Title: Pricing Excess Workers Compensation


1
Pricing Excess Workers Compensation
  • 2003 CAS Ratemaking Seminar
  • Session REI-5
  • By
  • Natalie J. Rekittke, FCAS, MAAA
  • Midwest Employers Casualty Company

2
Pricing Excess Workers Compensation
  • Estimate ultimate ground-up losses
  • Estimate excess portion of ultimate losses
  • Consider qualitative information
  • Apply risk loadings including load for terrorism

3
Pricing Excess Workers Compensation
  • Estimating Ultimate Ground-up Losses
  • Loss Ratio (or Loss Cost) Method
  • Experience Modified Loss Cost Method

4
Pricing Excess Workers Compensation
  • Loss Ratio (or Loss Cost) Method
  • Estimate on-level premium (or payroll) for
    historical years
  • Develop losses to ultimate
  • Adjust ultimate losses for trend in excess of
    payroll trend to prospective pricing period
  • Calculate loss ratio (loss cost) by year and
    select
  • Apply selected loss ratio (loss cost) to
    estimated prospective premium (payroll) to
    estimate ultimate ground-up losses

5
Pricing Excess Workers Compensation
6
Pricing Excess Workers Compensation
  • Loss Ratio (or Loss Cost) Method
  • Advantages
  • useful when exposure detail (payroll by class) is
    not available
  • useful when industry expected loss costs are not
    available
  • Disadvantage
  • loss cost method does not contemplate changes in
    mix of business historically or prospectively

7
Pricing Excess Workers Compensation
  • Experience Modified Loss Cost Method
  • Apply industry loss costs by class (trended to
    historical periods and at historical benefit
    levels) to historical payroll by class to
    calculate industry expected losses
  • Estimate expected reported (or paid) losses as of
    the current evaluation date
  • Divide actual reported (or paid) losses by
    expected to calculate historical experience
    modification factors
  • Select experience modification factor (mod)
  • Apply selected mod to expected prospective losses
    to estimate ultimate ground-up losses

8
Pricing Excess Workers Compensation
9
Pricing Excess Workers Compensation
  • Experience Modified Loss Cost Method
  • Advantages
  • reflects changes in mix of business
  • allows for adjustment for potential benefit level
    changes or changing medical trends
  • Disadvantages
  • requires payroll by class historically and
    prospectively - sometimes difficult to obtain
  • development of industry expected losses by class
    code and incorporation of benefit levels and
    trends can be time consuming and complex

10
Pricing Excess Workers Compensation
  • Estimating excess portion of ultimate losses
  • Industry ELPPFs
  • Entity-Specific Excess Ratios
  • Large Loss Experience Method

11
Pricing Excess Workers Compensation
  • Industry ELPPFs
  • Available by state, by hazard group, by
    limitation
  • Separate selected ground-up ultimate losses into
    the four hazard groups
  • For each hazard group, multiply ground-up
    ultimate losses by ELPPF at desired loss
    limitation and add all hazard groups together to
    derive expected excess losses

12
Pricing Excess Workers Compensation
  • Industry ELPPFs
  • Advantages
  • readily available
  • easy to use
  • Disadvantages
  • not unique to the entity
  • only 4 possible ELPPFs for a given state and loss
    limitation, and most entities fall in hazard
    groups 2 and 3

13
Pricing Excess Workers Compensation
  • Entity-Specific Excess Ratios
  • Estimate average severity by type of injury (TOI)
  • Divide the loss limitation (specific retention)
    by the average severity to calculate an entry
    ratio by TOI
  • Use the entry ratio as an index into the loss
    distribution (curves available by state benefit
    characteristics, by TOI from the NCCI)
  • The portion of claims in excess of the entry
    ratio (excess ratio) is returned (see
    Retrospective Rating Excess Loss Factors by
    William R. Gillam for technical details on excess
    ratio derivation)
  • For each TOI, multiply ground-up ultimate losses
    by the excess ratio, and sum to derive expected
    excess losses

14
Pricing Excess Workers Compensation
  • Entity-Specific Excess Ratios
  • Advantages
  • unique to the entity, allows for price
    differentiation among various entities of similar
    risk levels
  • most responsive to entity experience and risk
    level if average severities are estimated not
    only by TOI, but even more refined to the class
    code level
  • Disadvantages
  • difficult to estimate average severities and
    ultimate losses by TOI, much less by class
  • entity experience at this level of detail lacks
    credibility, and to compile industry statistics
    of this nature to complement entity experience
    would be extremely difficult and time consuming

15
Pricing Excess Workers Compensation
  • Large Loss Experience Method
  • Use actual large loss experience to select
    ultimate losses in a working layer
  • Based on loss distribution curves, estimate the
    relationship of expected losses in the higher
    pricing layer to expected losses in the working
    layer
  • Apply that relationship to the selected losses in
    the working layer to price the higher layer

16
Pricing Excess Workers Compensation
  • Large Loss Experience Method
  • Advantages
  • May be useful when ground-up loss data is not
    available, and only large loss experience is
    provided for pricing
  • Relationship of higher layer to a working layer
    may be more reliable than relationship of higher
    layer to ground-up losses
  • Disadvantages
  • Does not contemplate change in exposure level or
    mix of business
  • Large loss data lacks credibility

17
Pricing Excess Workers Compensation
  • Credibility
  • Credibility of industry and entity data should be
    considered in all of the methods discussed
  • In addition to formula driven credibility,
    qualitative information can lend credibility to
    and assist the actuary in interpreting the
    quantitative analysis

18
Pricing Excess Workers Compensation
  • Qualitative Considerations
  • Self-insureds attitude/commitment regarding its
    workers compensation program
  • Quality of third party claim administrator (TPA)
  • Quality of loss control vendor/program

19
Pricing Excess Workers Compensation
  • Self-Insureds Attitude/Commitment Regarding its
    Workers Compensation Program
  • Proper use of safety committees
  • Accountability for safety at appropriate
    management levels
  • Timeliness of claim/incident reporting
  • Supervisor contact with injured employees
  • Returning injured employees to work (light duty
    programs)
  • Frequency of changing TPA and loss control vendors

20
Pricing Excess Workers Compensation
  • Quality of TPA
  • Medical management
  • Lost time claim management
  • Catastrophic claim management
  • Case resolution/settlement philosophy
  • Case reserving practices

21
Pricing Excess Workers Compensation
  • Quality of Loss Control Vendor/Program
  • Professional qualifications of vendor personnel
  • Supervisor/employee safety training
  • Engineering/loss control analysis
  • Employee safety incentive programs

22
Pricing Excess Workers Compensation
  • Issues for Consideration
  • How much soft knowledge can be gathered in a
    cost efficient manner?
  • How much knowledge is enough?
  • How much impact do best practices have on
    retained losses?
  • Where does the impact occur (e.g., frequency,
    severity, tail factors,)?
  • How can other disciplines help you?

23
Pricing Excess Workers Compensation
  • Applying Risk Loadings
  • High Retentions
  • Terrorism

24
Pricing Excess Workers Compensation
  • Risk Loading for High Retention
  • Expected losses in high layers are low
  • Underlying exposure to loss could be very high
  • If premium is close to expected losses, it could
    take hundreds of policies to cover one actual
    loss
  • A risk load should be used

25
Pricing Excess Workers Compensation
  • Loading for Terrorism
  • NCCI filed primary loss cost loadings of around
    0.02 per 100 payroll
  • A terrorism event would be considered a single
    occurrence ? excess insurance would effectively
    turn into primary insurance
  • Excess insurance should apply similar 0.02
    loading

26
Pricing Excess Workers Compensation
  • Terrorism loading example
  • Primary Policy
  • 100M payroll
  • Average rate of 2 ? premium of 2M
  • Terrorism loading of 0.02 ? total premium of
    2,020,000
  • Terrorism load is 1
  • Excess Policy
  • 100M payroll
  • Average manual rate of 2 ? manual premium of 2M
  • SIR of 300,000
  • Excess rate of 5 ? excess premium of 100,000
  • Terrorism loading of 0.02 (per 100 payroll) ?
    total premium of 120,000
  • Terrorism load is 20

27
Pricing Excess Workers Compensation
  • Managing Terrorism
  • Load premium for terrorism
  • Put specific limits on your policies
  • Manage your concentration of risk by knowing
  • where your business is
  • number of insured employees within a certain
    square mile range
  • probable maximum loss within a certain square
    mile range
  • total loss your company is willing to bear
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