Actuarial Notes

CAS Exam 5 Spring 2015, Question 7

Study guide: Exam 5

The following information applies to a company's book of annual policies:

  • All policies are written on January 1 each year.
  • All losses occur on July 1 each year.
  • Loss costs increase by 5% each report year.
  • All losses are reported within 4 years of the occurrence date.
  • Loss notification is always made on December 31 of a given year.
  • Exposure levels are constant and each policy has one exposure.
  • There are no expense or profit provisions.
  • The ultimate loss costs for report year 2014 are as follows:
Report Year Lag Loss Cost
0 $250
1 $350
2 $300
3 $100

Part a (1 point)

Calculate the premium of a policy issued in 2015 on:

i. a mature claims-made policy ii. an occurrence policy

Part b (0.5 points)

Describe a scenario in which a mature claims-made policy would cost more than an occurrence policy.

Part c (1 point)

Beginning with losses occurring on or after January 1, 2015, a new law requires all losses to be reported within 2 years of the occurrence date. Explain the necessary adjustments, if any, to the premiums in part a. above without further calculations.

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