Actuarial Notes

CAS Exam 7 Spring 2019, Question 15

Study guide: Exam 7

Given the following information for a retrospectively rated book of business:

  • Basic Premium is $25 million.
  • Standard Premium is $100 million.
  • Tax Multiplier is 1.03.
  • Loss Conversion Factor is 1.18.
  • Expected Loss Ratio is 0.8.
Retro Adjustment Period Incremental Loss Capping Ratio Age-to-Ultimate Loss Development Factor
1st 0.95 2.00
2nd 0.75 1.08
3rd 0.55 1.01

Part a (1.5 points)

Calculate the cumulative premium development to loss development (PDLD) ratio at the 1st retro adjustment.

Part b (0.25 points)

Briefly describe a different approach for estimating PDLD ratios for retrospectively rated policies.

Part c (0.5 points)

Briefly describe an advantage and a disadvantage of using the method in part a. above over the method described in part b. above.

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Concepts tested

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