Actuarial Notes

CAS Exam 5 Spring 2014, Question 16

Study guide: Exam 5

An insurance company writes general liability insurance and purchases excess-of-loss reinsurance. On January 1, 2013, the insurance company implemented a new reserving process which resulted in a large increase in the average case outstanding for claims occurring in 2013.

The following information is available as of December 31, 2013:

Reported Claim Counts

Accident Year Revenue ($000) Ground-Up Excess of Reinsurance Attachment Point
2011 3,400 1,750 220
2012 3,500 1,700 140
2013 3,600 1,500 90

Reported Claim Count Development Factor to Ultimate (prior to operational change)

Age (months) Ground-Up Excess of Reinsurance Attachment Point
36-Ult 1.000 1.500
24-Ult 1.040 2.500
12-Ult 1.200 6.000
  • Annual revenue trend: 3%.
  • Annual total frequency trend: 2%.
  • Annual excess frequency trend: 5%.

Calculate the insurer's ultimate claim counts that do not exceed the attachment point for accident year 2013.

Part a (2.75 points)

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Concepts tested

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