Actuarial Notes

Exam P Practice Question 2

Study guide: Exam P-1

This year, losses on a block of policies are uniformly distributed on the interval (0, 10{,}000). For each loss, the insurer pays the amount of the loss in excess of a deductible of 1,000, up to a maximum payment of 6,000.

Next year, every loss will be 20% larger than this year, so losses will be uniformly distributed on (0, 12{,}000). The deductible and the maximum payment will not change.

Calculate the percentage increase in the insurer's expected payment per loss from this year to next year.

  • A) 9.0%
  • B) 11.1%
  • C) 20.0%
  • D) 24.5%
  • E) 42.9%

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