Actuarial Notes

CAS Exam 5 Spring 2015, Question 21

Study guide: Exam 5

Given the following data as of December 31, 2014:

Cumulative Closed Claim Counts:

Accident Year 12 months 24 months 36 months
2012 730 800 820
2013 750 825
2014 775

Cumulative Paid Claims ($000):

Accident Year 12 months 24 months 36 months
2012 2,250 2,600 2,700
2013 2,600 3,000
2014 2,000
Accident Year Ultimate Claim Counts
2012 820
2013 846
2014 874
  • The latest diagonal is representative of current claim adjusting practices.
  • There is no development beyond 36 months.
  • Annual severity trend is 4%.

Part a (2 points)

Using the disposal rate frequency-severity technique, calculate the ultimate claims.

Part b (0.5 points)

Assume accident year 2013 experienced a one-time increase in the severity of claim payments with no impact on frequency or disposal rates. Briefly discuss two adjustments to the disposal rate frequency-severity technique that would be appropriate in this scenario.

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