Actuarial Notes

CAS Exam 5 Spring 2013, Question 22

Study guide: Exam 5

An actuary is assisting a manufacturing company in reserving its self-insured workers compensation program as of December 31, 2012. The program began on January 1, 1998 and has undergone the following changes in recent years:

  • On January 1, 2007, the per-occurrence retention was increased from $300,000 to $750,000.
  • On January 1, 2010, the company automated some of its production process. As a result, the company replaced a significant portion of its assembly-line staff with sales staff.

The actuary would like to use the following methods and data to estimate ultimate claims as of December 31, 2012:

  • Development method using company-specific claim development triangles.
  • Expected claims method using payroll as exposure base and the average of the reported and paid claim development projections as initial estimates of ultimate claims.
  • Frequency-severity method using company-specific claim count development triangles.

Part a (1 point)

Discuss necessary adjustments the actuary should make to the company-specific data to use the development method.

Part b (1 point)

Briefly describe four adjustments the actuary should consider making to historical claims and exposures to put them on current levels in the expected claims method.

Part c (1 point)

Describe two diagnostic tests the actuary should perform before using the frequency-severity method.

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