Actuarial Notes

CAS Exam 5 Spring 2015, Question 17

Study guide: Exam 5

Given the following information for an insurance company:

Calendar/Accident Year Earned Car Years Earned Premium ($000) Reported Claims ($000) Selected CDF
2011 830 415 315 1.05
2012 1,000 450 392 1.10
2013 1,000 475 358 1.30
2014 700 280 200 2.00
  • The company first started writing business in 2011.
  • The mix of business has not changed.
  • Significant rate changes have occurred over the past four years.
  • Policies are annual and are written uniformly throughout the year.

Calculate the IBNR for accident year 2014 using the Cape Cod technique, incorporating adjustments for claims trend and on-leveling of premium. Justify the selection of claims trend.

Part a (2.75 points)

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Concepts tested

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