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
Answer this question and see the worked solution
Concepts tested
- Bonus-Malus System
- Markov Chain
- Stationary Distribution
- Transition Probability Matrix
- Poisson Distribution