Actuarial Notes

CAS Exam 5 Spring 2017, Question 6

Study guide: Exam 5

Given the following information:

Class Exposures Current Rate True Expected Cost Proposed Rate
A 3,500 $500 $550 $540
B 8,000 $400 $350 $370
  • Scenario 1: If the proposed rates are implemented, the projected number of class A exposures will decrease to 3,150; the projected number of class B exposures will remain unchanged.
  • Scenario 2: If the proposed rates are not implemented, the projected number of class A exposures will increase to 4,500; the projected number of class B exposures will decrease to 7,000.
  • No other expenses are changed in either scenario.
  • Profit provision is 0% in the indicated rate.

Part a (1 point)

Calculate the profit in each of the two scenarios.

Part b (0.5 points)

Explain whether the proposed rates should be implemented given a $10,000 implementation cost.

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Concepts tested

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