Actuarial Notes

CAS Exam 5 Spring 2017, Question 10

Study guide: Exam 5

Given the following information about an insurance product:

Territory Factors

Territory Factor
A 0.85
B 1.00
C 1.35
  • Fixed expense per exposure = $50.
  • Variable expense ratio = 17%.
  • Underwriting profit provision = 3%.
  • LAE provision = 16% of loss cost.
  • Base rate = $435.
  • Policy fee = $55.
  • Policy fee is an additive fee added to each exposure in the last step of the rate calculation.

Based on a separate analysis, an actuary projects the following for calendar-accident year 2018:

Territory Earned Exposures Ultimate Loss Cost
A 150 $300
B 200 $350
C 100 $500

Part a (1.5 points)

Calculate the projected total underwriting profit for calendar-accident year 2018.

Part b (1.5 points)

Calculate the indicated policy fee, indicated territory factors, and indicated base rate.

Part c (0.5 points)

Management suggests reaching the targeted profit by only increasing the base rate. Discuss this approach.

Answer this question and see the worked solution

Concepts tested

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