Chapter 7: Actuarial Operations Flashcards
Actuarial Functions
- Ratemaking
- Estimation of unpaid liabilities and adequacy of loss reserves
Ideal Characteristics of Rates
- Be stable
- Be responsive
- Provide for contingencies
- Promote risk control
- Reflect differences in risk exposure
Rate Components
- An amount needed to pay for future claims and loss adjustment expenses (prospective loss costs)
- An amount needed to pay future expenses; such as acquisition expenses, overhead, and premium taxes (expense provision)
- An amount for profit and contingencies (profit and contingencies factor)
Factors That Affect Ratemaking
- Estimation of losses
- Delays in data collection
- Change in the costs of claims
- Insurer’s projected expenses
- Target level of profit and contingencies
Estimation of Losses
Paid Losses + Loss Reserves = Incurred Losses
Delays in Data Collection and Use
- Delays by insured in reporting losses to insurers
- Time required to analyze data and prepare a rate filing
- Delays in obtaining state approval of filed rates
- Time required to implement new rates
- Time period during which rates are in effect, usually a full-year
Ratemaking Methods
- Pure premium method
- Loss ratio method
- Judgement method
Pure Premium Ratemaking Method
- ) Calculate the pure premium
- ) Estimate expenses per exposure unit based on the insurer’s last experience
- ) Determine the profit and contingencies factor
- ) Add pure premium and the expense provisions and divide by one minus the profit and contingencies factor
Ratemaking Process Overview
- ) Collect data
- ) Adjust data
- ) Calculate overall indicated rate change
- ) Determine territorial and class relativities
- ) Prepare rate filings and submit to regulatory authorities as required
Collect Data
Three General Categories:
- Losses, both paid and incurred
- Earned premiums and/or exposure Information
- Expenses, including a profit and contingencies factor
Adjust Data
- Adjust premium to current rate level
- Adjust historic experience for future development
- Apply trending to losses and premium
Ratemaking Factor Variance for Different Types of Insurance
- Experience period
- Trending
- Large loss limitations
- Credibility
- Increased limits factors
Experience Period
Factors in determining the appropriate experience period:
- Legal requirements (if any)
- The variability of losses over time
- The credibility of the resulting ratemaking data
Types of Loss Reserves
- Case reserves
- Amounts that represent the estimated loss value of each individual claim
- Bulk reserves
- General provision for additional reserves, since the insurer cannot identify specific claims with inadequate or excessive case reserves or predict which claims reopen
Bulk Reserves
Bulk Reserves can have three components:
- Incurred but not reported (IBNR) Reserves
- Reserves for losses that have been reported but for which the established case reserves are inadequate (IBNER- incurred but not enough reserves)
- Reserves for claims that have been settled and the reopened
Analysis of Loss Reserves
The most common methods used estimate ultimate losses are:
- Expected loss ratio method
- Loss development method
- Bornhuetter-Ferguson method
The Loss Development Method
- ) Compile the experience into a loss development triangle
- ) Calculate the age-to-age development factors
- ) Select the development factors to be used
- ) Apply factors to experience to make projections