Actuarial Notes

CAS Exam 5 Fall 2019, Question 20

Study guide: Exam 5

Given the following:

Closed Claim Counts — Accident Year 12 24 36 48 Ultimate Count
2015 308 555 642 647 647
2016 356 563 678 683
2017 358 575 684
2018 402 795
Cumulative Paid Claims ($000s) — Accident Year 12 24 36 48
2015 375 745 906 916
2016 397 750 922
2017 422 762
2018 385
  • A court decision on December 31, 2018 will increase future claim payments by 20%.
  • All claims are closed by age 48.
  • There is no severity trend.

(Note from the Syllabus and Examination Committee: The Closed Claim Count triangle was mislabeled in the question, where the first column was labeled "Year" and not "Accident Year" and the final column was labeled "Count" and not "Ultimate Count". This was unintended and was considered during grading.)

Part a (2.25 points)

Use the frequency-severity disposal rate technique to estimate unpaid claims for accident year 2018.

Part b (0.5 points)

Describe an advantage of using the frequency severity technique over a paid development technique in part a. above.

Answer this question and see the worked solution

Concepts tested

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