Actuarial Notes

CAS Exam 8 Fall 2019, Question 8

Study guide: Exam 8

Given the following for a policy:

  • Basic Limit = 100,000
  • Expected Basic Limit Indemnity = 65,000
  • Allocated Loss Adjustment Expense (ALAE) = 20% of Indemnity
  • Unallocated Loss Adjustment Expense = 1.5% of Indemnity and ALAE
  • All other expenses are variable and are 15% of the premium
  • Risk load = 0%
  • Profit load = 2.5%
  • The following table shows Indemnity-only limited expected severity:
Limit L E[X; L]
100,000 58,750
200,000 100,000
500,000 156,250
1,000,000 218,750

Calculate the premium for this policy with a 500,000 limit over a 500,000 deductible.

Part a (1.5 points)

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Concepts tested

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