Actuarial Notes

CAS Exam 5 Fall 2019, Question 24

Study guide: Exam 5

Given the following information, as of December 31, 2018:

Calendar Year Paid Claims Incurred Claims Paid ULAE
2015 18,700 35,500 1,870
2016 19,200 36,500 1,890
2017 18,900 36,400 1,910
2018 19,800 37,400 1,990
Report Year Earned Premium Paid Claims Reported Claims Percent Unreported
2015 77,600 22,400 29,500 10.7%
2016 78,000 14,300 26,200 23.1%
2017 77,800 5,500 20,700 55.9%
2018 77,900 2,800 19,000 76.3%
  • The expected claims ratio for this book of business is 45%.
  • All policies are claims-made.

Part a (1.5 points)

Calculate unpaid ULAE at December 31, 2018 using the Kittel refinement.

Part b (0.75 points)

Fully describe how the calculation in part a. above would change if the policies for this book of business were occurrence instead of claims-made.

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