Actuarial Notes

CAS Exam 7 Spring 2017, Question 2

Study guide: Exam 7

Given the following loss ratio triangle:

Accident Year Cumulative Reported Loss Ratio: 12 Months 24 Months 36 Months 48 Months 60 Months
2010 3.0% 10.0% 15.7% 37.0% 37.0%
2011 5.1% 5.1% 25.0% 44.2% 48.0%
2012 2.5% 3.0% 40.0% 57.0% 59.2%
2013 1.6% 15.7% 22.2% 21.0%
2014 0.0% 7.8% 16.7%
2015 6.3% 12.4%
2016 4.7%
  • Assume a tail factor of 1.15 from 60 months to ultimate.

Calculate the accident year 2014 ultimate loss ratio using the least squares method.

Part a (1.75 points)

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Concepts tested

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