CAS Exam 5 Spring 2013, Question 5
Study guide: Exam 5
A company is reviewing the rate level adequacy. Given the following information for a book of business:
- All policies are annual.
- Current rates have been in effect for three years.
- New rates will be in effect for 18 months beginning on July 1, 2013.
- Annual premium trend = -1%.
- Annual loss trend = +3%.
- Loss adjustment expense provision = 2.5% of loss.
- Historical expense ratios:
- Fixed = 6%.
- Variable = 30%.
- Underwriting profit and contingencies provision = 5%.
- Ultimate losses are estimated using the reported development technique.
- On January 1, 2014, the company will reduce agency commissions by 3% of premium.
| Calendar Year Ending | Earned Premium ($000s) |
|---|---|
| December 31, 2011 | $2,163 |
| December 31, 2012 | $2,120 |
Reported Losses ($000s):
| Accident Year | 12 months | 24 months | 36 months | 48 months | 60 months |
|---|---|---|---|---|---|
| 2008 | $780 | $928 | $1,030 | $1,083 | $1,094 |
| 2009 | $765 | $921 | $1,004 | $1,053 | |
| 2010 | $760 | $920 | $1,012 | ||
| 2011 | $805 | $966 | |||
| 2012 | $890 |
Calculate the indicated rate change.
Part a (4 points)
Answer this question and see the worked solution
Concepts tested
- Overall Rate Level Indication
- On Level Premium
- Loss Trend
- Premium Trend
- Loss Ratio Method
- Permissible Loss Ratio