Actuarial Notes

CAS Exam 5 Spring 2019, Question 10

Study guide: Exam 5

Given the following information for the rating variables vehicle class, driver type, and territory:

Exposures by Vehicle Class and Territory:

Vehicle Class Territory 1 Territory 2 Territory 3
A 30 15 200
B 80 22 104
C 20 80 60

Exposures by Driver Type and Territory:

Driver Type Territory 1 Territory 2 Territory 3
X 50 45 140
Y 80 72 224

Losses ($000s) by Vehicle Class and Territory:

Vehicle Class Territory 1 Territory 2 Territory 3
A 30 15 200
B 100 33 135
C 30 200 105

Losses ($000s) by Driver Type and Territory:

Driver Type Territory 1 Territory 2 Territory 3
X 40 65 115
Y 120 180 325
  • All segments are fully credible.
  • Vehicle class A, Driver type X, and Territory 1 are used as the bases.

Propose rating factors for all three variables using a univariate method, considering any exposure correlation.

Part a (2.75 points)

Answer this question and see the worked solution

Concepts tested

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