Actuarial Notes

SOA Exam FAM Sample Question 57

Study guide: Exam FAM

Loss amounts have the distribution function

F(x) = \begin{cases} (x/100)^2, & 0 \le x \le 100 \\ 1, & x > 100 \end{cases}

An insurance policy pays 80% of the amount of the loss in excess of an ordinary deductible of 20, subject to a maximum payment of 60 per loss.

Calculate the conditional expected claim payment, given that a payment has been made.

  • A) 37
  • B) 39
  • C) 43
  • D) 47
  • E) 49

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Concepts tested

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