Actuarial Notes

CAS Exam 5 Fall 2017, Question 5

Study guide: Exam 5

Given the following information for an insurance company as of December 31, 2016:

Accident Year Earned Premium ($000) Reported Loss ($000) Cumulative Loss Development Factors
2012 3,000 1,500 1.05
2013 3,500 1,925 1.10
2014 3,300 1,749 1.20
2015 3,200 1,984 1.35
2016 3,800 2,470 1.40
  • All policies are annual.
  • Annual loss cost trend = 3%.
  • The company has increased rates by 5% every year on January 1.
  • The company writes policies uniformly throughout the year.

Calculate accident year 2016 trended ultimate loss using the Bornhuetter-Ferguson method with the expected loss ratio based on accident years 2012 through 2014 experience.

Part a (2 points)

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