Actuarial Notes

CAS Exam 7 Spring 2013, Question 6

Study guide: Exam 7

Given the following information regarding a book of retrospectively rated policies:

Retrospective Adjustment First Second Third
Loss Age 18 30 42
Premium Age 27 39 51
Loss Capping Ratio 80% 50% 70%
LDF to Ultimate 1.800 1.150 1.050
  • Tax multiplier: 1.04
  • Loss conversion factor: 1.15
  • Total basic premium: $12,456,000
  • Total standard premium: $54,309,000
  • Expected loss ratio to standard premium: 75%

Part a (1 point)

Calculate the PDLD ratio as of the first retrospective adjustment.

Part b (0.5 points)

Calculate the PDLD ratio as of the second retrospective adjustment.

Part c (0.5 points)

Calculate the PDLD ratio as of the third retrospective adjustment.

Part d (0.75 points)

Based on the results of parts a., b. and c. above, discuss the reasonableness of the loss capping ratios shown above.

Answer this question and see the worked solution

Concepts tested

More questions from this set