CAS Exam 5 Fall 2014, Question 23
Study guide: Exam 5
The following information is available for an insurance company that began writing business in 2010:
Cumulative Paid Claims as of (months)
| Accident Year | 12 | 24 | 36 | 48 |
|---|---|---|---|---|
| 2010 | $198 | $285 | $325 | $347 |
| 2011 | $1,220 | $1,763 | $2,044 | |
| 2012 | $13,000 | $18,750 | ||
| 2013 | $11,060 |
| Calendar Year | Paid ULAE |
|---|---|
| 2010 | $23 |
| 2011 | $59 |
| 2012 | $814 |
| 2013 | $688 |
- The actuary has selected a 24-month cumulative paid claim development factor of 1.25.
- The initial expected claims for accident year 2013 are $31,500.
- Case outstanding for accident year 2013 as of December 31, 2013 is $5,720.
Part a (1.25 points)
Estimate IBNR for accident year 2013 as of December 31, 2013 using the paid Bornhuetter-Ferguson technique.
Part b (1.25 points)
Estimate unpaid ULAE for accident year 2013 as of December 31, 2013, using the classical technique and the results from part a. above.
Part c (0.75 points)
State the key assumptions of the classical technique, and briefly comment on the appropriateness of utilizing the classical technique in estimating unpaid ULAE for this company.
Part d (0.5 points)
Describe a refinement to the classical technique that can be used to derive a reasonable estimate of unpaid ULAE for this company.
Answer this question and see the worked solution
Concepts tested
- Unallocated Loss Adjustment Expenses ULAE
- Accident Year
- Development Factor
- Bornhuetter-Ferguson Method