Actuarial Notes

CAS Exam 5 Spring 2016, Question 7

Study guide: Exam 5

Given the following information:

Expense Ratios 2013 2014 2015 % Fixed
General Expenses 4.2% 5.1% 5.9% 70%
Other Acquisition 9.9% 10.6% 11.5% 80%
Taxes, Licenses and Fees 1.5% 1.4% 1.5% 30%
Commission and Brokerage 11.1% 10.4% 11.0% 0%
  • Projected ultimate pure premium, including LAE = $600.
  • Underwriting profit provision = 12%.
  • Projected average premium per exposure = $1,000.

Part a (1.75 points)

Calculate the indicated average rate using the premium-based projection method for determining expense provisions. Justify all selections.

Part b (0.5 points)

Management would like to achieve its targeted underwriting profit without changing rates. Discuss whether this is a reasonable expectation based on the information above.

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