Actuarial Notes

CAS Exam 5 Spring 2017, Question 4

Study guide: Exam 5

Given the following information for an insurance company:

($000)
Written Premium 15,000
Earned Premium 12,000
Ultimate Losses and LAE 10,000
Commissions and Brokerage 2,250
Other Acquisition Costs 750
Taxes, Licenses, and Fees 300
General Expenses 360
  • All expenses are variable.
  • Underwriting profit provision = -5%.

Part a (1 point)

Calculate the following expense ratios to premium and briefly justify the selection of the premium basis used in each calculation:

i. Commissions and brokerage ii. General expenses

Part b (0.5 points)

Calculate the permissible loss and LAE ratio.

Part c (0.25 points)

Briefly explain how the company may return a profit with an underwriting profit provision less than 0%.

Part d (0.5 points)

Demonstrate whether or not the company met underwriting profit expectations.

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Concepts tested

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