Actuarial Notes

CAS Exam 5 Fall 2017, Question 6

Study guide: Exam 5

The current workers compensation indemnity benefit structure in a state is as follows:

  • The compensation rate is 80% of the workers pre-injury wage.
  • The state average weekly wage (SAWW) is currently $1,500.
  • The minimum indemnity benefit is 50% of the SAWW.
  • The maximum indemnity benefit is 125% of the SAWW.

The following changes have been proposed to the workers compensation indemnity benefit structure:

  • The proposed minimum indemnity benefit is 75% of the SAWW.
  • The proposed maximum indemnity benefit is 100% of the SAWW.

The distribution of injured workers for Company A is shown below:

Ratio to SAWW # Workers Total Weekly Wages
<50% 150 $108,750
50%-75% 100 $110,000
75%-100% 95 $137,750
100%-125% 50 $87,500
>125% 45 $216,000
Total 440 $660,000

(Note from the Syllabus and Examination Committee: It was not the intention of this question to have the cutoff for the minimum/maximum to land in the middle of the given wage bands. Because of this ambiguity, reasonable assumptions, including assuming all workers in a band earn the average or a uniform distribution of workers across the band were accepted.)

Part a (1.5 points)

Calculate the impact to Company A of the state's proposed workers compensation indemnity benefit change.

Part b (0.5 points)

Briefly describe two potential indirect effects of the benefit change.

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Concepts tested

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