CAS Exam 5 Spring 2017, Question 23
Study guide: Exam 5
Given the following data as of December 31, 2016:
| Accident Year | Earned Premium | 12 | 24 | 36 | 48 |
|---|---|---|---|---|---|
| 2013 | 2,000 | 390 | 875 | 1,135 | 1,265 |
| 2014 | 2,260 | 425 | 1,065 | 1,355 | |
| 2015 | 2,730 | 564 | 1,267 | ||
| 2016 | 3,215 | 619 |
The 12 / 24 / 36 / 48 columns are cumulative paid claims as of that many months.
- A court decision on December 31, 2014 led to a 20% increase in severity for all payments occurring after the decision.
- The company took a rate change of +20% effective on January 1, 2014.
- Policies are annual and are written evenly throughout the year.
- There is no development beyond 48 months.
Part a (1.5 points)
Calculate accident year 2016 ultimate claims using the paid claim development technique, incorporating the impact of the court decision.
Part b (1.5 points)
Calculate the accident year 2016 ultimate claims using the Cape Cod technique, incorporating the impact of the court decision.
Answer this question and see the worked solution
Concepts tested
- Cape Cod Method
- Chain Ladder Method
- On Level Premium
- Development Triangle
- Changing Conditions
- Rate Level Change