Actuarial Notes

CAS Exam 5 Spring 2017, Question 23

Study guide: Exam 5

Given the following data as of December 31, 2016:

Accident Year Earned Premium 12 24 36 48
2013 2,000 390 875 1,135 1,265
2014 2,260 425 1,065 1,355
2015 2,730 564 1,267
2016 3,215 619

The 12 / 24 / 36 / 48 columns are cumulative paid claims as of that many months.

  • A court decision on December 31, 2014 led to a 20% increase in severity for all payments occurring after the decision.
  • The company took a rate change of +20% effective on January 1, 2014.
  • Policies are annual and are written evenly throughout the year.
  • There is no development beyond 48 months.

Part a (1.5 points)

Calculate accident year 2016 ultimate claims using the paid claim development technique, incorporating the impact of the court decision.

Part b (1.5 points)

Calculate the accident year 2016 ultimate claims using the Cape Cod technique, incorporating the impact of the court decision.

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Concepts tested

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