Actuarial Notes

Exam MAS-I Practice Question 20

Study guide: Exam MAS-I

A bonus-malus system has three levels with annual premiums:

Level 1 2 3
Premium $300 $400 $600

After a claim-free year a policyholder moves down one level (staying at level 1 if already there). After a year with exactly one claim the policyholder moves up one level (staying at level 3 if already there). After a year with two or more claims the policyholder moves to level 3. Each policyholder's annual claim count is Poisson with mean 0.3.

Calculate the long-run average annual premium.

  • A) 348.70
  • B) 356.94
  • C) 360.76
  • D) 396.96
  • E) 433.33

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