Quantitative Skills
Loss Run
Is a summary or report of loss experience fro a risk over a specified period of time.
What a Loss Run Tells an Underwriter
Typical Captions on a Loss Run
Date of Report
Types, Description and Location of Loss
Outstanding Reserves
Losses Incurred and Claims Paid
Open and Closed Claims
Quantitative Skills
Combining Quantitative and Qualitative Skills
Putting Numbers in Context
“Digging beneath the surface” allows the underwriter to assess statistical information in the context of actual events.
Ex. A building being declined for a one million dollar loss - what information may change their mind? An analysis must be done as the building may have previously not had sprinklers, but now does given the loss that occurred, making it highly unlikely for a fire loss to occur again.
Undue Pessimism
Might incline an underwriter to consider a risk with no reported losses to decline the risk.
Loss Development Factors
An underwriter must understand that those losses will continue to develop (ones that are reported), and there may have also been losses that have been incurred but not reported. Makes loss rating based only on losses reported merely provisional.
IBNR
Incurred but not reported (losses)
Undeveloped Numbers
Incurred numbers as of today (paid claims and outstanding reserves), and have not had development factors applied to reflect future changes in claims reported, reopened, and additional case reserves.
Case Study - Loss Development Factors
Loss Development Factor (LDF)
Is a number applied to the losses evaluated at a certain time to project the amounts at which they will ultimately be settled.
Are derived from loss triangles.
Loss Triangle
Accident Year
Matches all losses, regardless of when they were reported, to the 12 month period in which they occurred.
Incurred Losses
The sum of paid claims and outstanding reserves.
Link Ratio or Age-to-age Factor
Incremental development factor.
Short Tail Claims
Losses that do not take a long time to report, develop or settle.
Cumulative Factor or Age-to-ultimate Factor
A factor that can be applied to any evaluation period to project the ultimate settlement value.