Actuarial Notes

CAS Exam 5 Spring 2013, Question 9

Study guide: Exam 5

An actuary develops an overall indicated rate increase of 4.5% using the following assumptions:

  • All expenses are variable.
  • Total permissible loss ratio = 65%.
  • Profit and contingency provision = 5%.

The actuary's manager asks that the expenses be split into fixed and variable components as follows:

  • Fixed = 75% of total expenses.
  • Variable = 25% of total expenses.

Part a (1.25 points)

Calculate the revised overall rate indication with the new expense split suggested by the actuary's manager.

Part b (0.25 points)

Briefly explain why splitting the expenses as described above results in a different indication.

Part c (0.5 points)

Identify two reasons an actuary may want to split expenses into fixed and variable components.

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Concepts tested

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