Actuarial Notes

CAS Exam 7 Spring 2017, Question 7

Study guide: Exam 7

Given the following information:

Accident Year Cumulative Reported Loss at $1,000,000 Limit ($000,000): 12 Months 24 Months 36 Months 48 Months
2013 450 1,354 2,465 3,348
2014 355 1,535 2,747
2015 398 1,411
2016 355
Accident Year Limited Expected Values at $1,000,000 Limit ($000): 12 Months 24 Months 36 Months 48 Months
2013 24 110 215 255
2014 25 115 214 265
2015 26 117 227 281
2016 26 121 236 290
Accident Year Limited Expected Values at $500,000 Basic Limit ($000): 12 Months 24 Months 36 Months 48 Months
2013 24 109 195 223
2014 25 113 195 228
2015 26 115 204 239
2016 26 119 210 244
  • Assume the 48 month to ultimate development factor is 1.000

Part a (0.5 points)

Calculate the unadjusted 24 to ultimate volume weighted average development factor based on the reported loss triangle limited to $1,000,000.

Part b (1.75 points)

Calculate the applicable 24 to ultimate volume weighted average development factor based on the reported loss triangle limited to $1,000,000 using the procedure outlined by Sahasrabuddhe.

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Concepts tested

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