Actuarial Notes

CAS Exam 5 Spring 2016, Question 16

Study guide: Exam 5

Given the following as of December 31, 2015:

Accident Year Cumulative Paid Claims Paid Development Technique Ultimate Claims Paid Development Technique Age-to-Ultimate Factor
2012 $600 $720 Not Provided
2013 $500 $625 Not Provided
2014 Not Provided Not Provided 2.00
2015 $150 Not Provided 3.75
  • Accident year 2015 reported claims = $350.
  • Expected claim ratio = 65.0%.
  • Calendar year 2015 earned premium = $700.

Part a (0.75 points)

Calculate the following for accident year 2015:

i. Case outstanding ii. IBNR using the expected claims technique iii. Total unpaid claim estimate using the expected claims technique

Part b (1 point)

Upon review, the 36-48 age-to-age claims development factor was corrected to be 1.4. Calculate the revised accident year 2015 ultimate claims using the correct factor and the paid development technique.

Part c (0.5 points)

Calculate the accident year 2015 ultimate claims using the paid Bornhuetter-Ferguson technique and the corrected age-to-age claims development factor in part b. above.

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Concepts tested

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