Actuarial Notes

CAS Exam MAS-I Spring 2018, Question 15

Study guide: Exam MAS-I

You are given the following information:

  • Loss severity follows an exponential distribution with mean of \theta.
  • Any loss over 10,000 will result in a claim payment of only 10,000 due to policy limits. Otherwise claims are paid in full.
  • You observe the following four claim payments:

1{,}000 \qquad 3{,}100 \qquad 7{,}500 \qquad 10{,}000

Calculate the maximum likelihood estimate of \theta.

  • A) Less than 5,000
  • B) At least 5,000, but less than 6,000
  • C) At least 6,000, but less than 7,000
  • D) At least 7,000, but less than 8,000
  • E) At least 8,000

Answer this question and see the worked solution

Concepts tested

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