Actuarial Notes

CAS Exam 5 Fall 2019, Question 12

Study guide: Exam 5

Given the following information:

Vehicle Type Vehicle Use State A Exposures State A Losses ($) Countrywide Exposures Countrywide Losses ($)
Car Pleasure 2,500 500,000 30,000 6,600,000
Car Work 1,000 500,000 25,000 16,250,000
Truck Pleasure 0 0 40,000 14,400,000
Truck Work 3,000 300,000 50,000 8,500,000
  • An actuary is developing a pure premium estimate for trucks used for work in state A.
  • The actuary is using experience from all other states as a complement of credibility.

Part a (1.25 points)

Calculate the complement of credibility using Harwayne's Method.

Part b (0.5 points)

Briefly describe two advantages of using the current rate as a complement of credibility instead of calculating the complement with Harwayne's method.

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Concepts tested

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