Actuarial Notes

CAS Exam 7 Spring 2018, Question 5

Study guide: Exam 7

Given the following information about accident year 2017 as of December 31, 2017:

  • Accident year 2017 paid loss = $850,000.
  • 2017 earned premium = $4,000,000.
  • Initial expected loss ratio = 67.5%.
  • 12-24 month incremental paid link ratio = 1.60.
  • 12-ultimate cumulative paid LDF = 3.00.

Part a (1.5 points)

Determine the accident year 2017 incremental paid loss in 2018 that would result in the Benktander ultimate loss estimate being $100,000 less than the Bornhuetter-Ferguson ultimate loss estimate for accident year 2017 as of December 31, 2018. Assume all development factors are unchanged.

Part b (0.25 points)

Briefly describe when the Benktander ultimate loss estimate would be greater than the Bornhuetter-Ferguson ultimate loss estimate as of December 31, 2018.

Part c (0.5 points)

Explain why it may not be appropriate to use the Bornhuetter-Ferguson method when losses develop downward.

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