Actuarial Notes

CAS Exam 5 Spring 2015, Question 19

Study guide: Exam 5

The following information is provided for an unpaid claims analysis with data evaluated as of June 30, 2014.

Accident Year Paid Claims Reported Claims Paid Development Technique Reported Development Technique Paid Bornhuetter-Ferguson Technique Selected Ultimate Claims
2012 7.0 7.8 14.0 10.9 12.0 13.8
2013 3.1 5.0 8.7 11.0 9.5 10.2
2014 1.5 1.9 12.0 5.7 10.3 7.1
  • All figures are in millions of dollars.
  • The a priori ultimate claims estimate is the same for all accident years.
  • There is no development of claims after 48 months.

Part a (1 point)

Estimate ultimate claims for each accident year using the reported Bornhuetter-Ferguson technique.

Part b (1.5 points)

Discuss the appropriateness of the selected ultimate claims for each accident year.

Part c (0.25 points)

Estimate ultimate claims for accident year 2014 using one iteration of the reported Benktander technique.

Part d (0.5 points)

Explain how the unpaid claim estimate for accident year 2014 will change during successive iterations of the reported Benktander technique.

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Concepts tested

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