Actuarial Notes

CAS Exam MAS-I Spring 2019, Question 3

Study guide: Exam MAS-I

You are given the following information:

  • Accidents follow a compound Poisson process
  • Accidents occur at the rate of \lambda = 40 per day
  • Accident severity follows an exponential distribution with \theta = 1{,}000
  • The insurance payment for each accident is subjected to a deductible
  • V_1 is the variance of daily aggregate payments with a deductible of 100 per accident
  • V_2 is the variance of daily aggregate payments with a deductible of 500 per accident

Calculate the ratio V_2 / V_1.

  • A) Less than 0.5
  • B) At least 0.5, but less than 0.6
  • C) At least 0.6, but less than 0.7
  • D) At least 0.7, but less than 0.8
  • E) At least 0.8

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