Actuarial Notes

CAS Exam 5 Spring 2014, Question 14

Study guide: Exam 5

The actuary for an insurer has estimated the following results for accident year 2013 as of December 31, 2013:

  • Percentage unpaid at 12 months = 80%.
  • Accident year 2013 case outstanding = $22,000.
  • Ultimate claims estimate based on the reported claim development technique = $102,500.
  • Ultimate claims estimate based on the paid claim development technique = $95,000.
  • Ultimate claims estimate based on the expected claims technique = $100,000.

Part a (1.25 points)

Estimate ultimate claims using the reported Bornhuetter-Ferguson technique for accident year 2013 as of December 31, 2013.

Part b (0.5 points)

Identify two situations when the ultimate claims estimate from the reported claim development technique will equal the ultimate claims estimate from the reported Bornhuetter-Ferguson technique.

Part c (1 point)

Identify two situations when the Bornhuetter-Ferguson technique is preferable to the claim development technique and briefly explain why.

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