Actuarial Notes

Exam MAS-I Practice Question 69

Study guide: Exam MAS-I

Ground-up losses follow a Pareto distribution with \alpha = 3 and \theta = 2{,}000:

F(x) = 1 - \left(\frac{\theta}{x + \theta}\right)^{\alpha}, \quad x > 0

A policy has an ordinary deductible of 1,000 and no limit. Which distribution describes the amount paid, X - 1{,}000, on a loss that produces a payment?

  • A) Pareto with \alpha = 3 and \theta = 1{,}000
  • B) Pareto with \alpha = 3 and \theta = 2{,}000
  • C) Pareto with \alpha = 2 and \theta = 3{,}000
  • D) Exponential with mean 1,500
  • E) Pareto with \alpha = 3 and \theta = 3{,}000

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