Actuarial Notes

CAS Exam MAS-I Fall 2019, Question 17

Study guide: Exam MAS-I

You are given the following information:

  • An insurer has observed the following nine losses:
500,\ 600,\ 750,\ 880,\ 940,\ 1000,\ 1050,\ 1060,\ 1400
  • A uniform kernel function with bandwidth 75 is used to estimate the distribution of loss sizes
  • \hat{F}(Y) is the kernel-smoothed estimate of the cumulative distribution function

Calculate \hat{F}(1{,}000).

  • A) Less than 0.55
  • B) At least 0.55, but less than 0.60
  • C) At least 0.60, but less than 0.65
  • D) At least 0.65, but less than 0.70
  • E) At least 0.70

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Concepts tested

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