Actuarial Notes

CAS Exam 5 Spring 2018, Question 18

Study guide: Exam 5

Given the following data as of December 31, 2017:

Cumulative Reported Claims ($000s) as of (months)

Accident Year 12 24 36 48
2014 3,002 3,585 3,857 4,020
2015 3,440 4,107 4,522
2016 3,427 4,109
2017 Not Provided

Cumulative Reported Claim Counts as of (months)

Accident Year 12 24 36 48
2014 940 975 980 980
2015 1,060 1,103 1,106
2016 1,053 1,095
2017 1,085

Reported Claims Age-to-Age Factors

Accident Year 12-24 24-36 36-48
2014 1.194 1.076 1.042
2015 1.194 1.101
2016 1.199

Reported Claim Count Age-to-Age Factors

Accident Year 12-24 24-36 36-48
2014 1.037 1.005 1.000
2015 1.041 1.003
2016 1.040
5% Claim severity trend
30% Claim severity reduction due to tort reform on claims occuring on or after January 1, 2017
  • The tort reform has no effect on claim reporting.
  • There is no claim development after 48 months.

Estimate ultimate claims for accident year 2017 using a frequency-severity technique.

Part a (2.5 points)

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Concepts tested

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