Actuarial Notes

CAS Exam 5 Spring 2018, Question 17

Study guide: Exam 5

Given the following:

Cumulative Reported Claims ($000) as of (months)

Accident Year 12 24 36 48 60
2013 4,850 6,060 6,670 7,000 7,000
2014 5,800 7,270 8,000 8,400
2015 7,600 9,500 10,500
2016 9,350 11,700
2017 11,800
Calendar Year Earned Premium ($000)
2013 10,000
2014 12,000
2015 15,000
2016 18,000
2017 22,000
  • There have been no rate changes.
  • There is no development beyond 48 months.

Part a (1.5 points)

Calculate ultimate claim ratios for each accident year using the reported Bornheutter-Ferguson technique with a 70% expected claims ratio.

Part b (0.5 points)

Evaluate the appropriateness of using the reported Bornhuetter-Ferguson technique as applied in part a. above.

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Concepts tested

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